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<p>Last updated on<strong>December 10, 2025</strong></p>
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<p>Last updated on<strong>December 10, 2025</strong></p>
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<p>The multiplicative inverse of a number is another number that, when multiplied with the original number, always results in 1. In this article, we will be discussing multiplicative inverse and its applications.</p>
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<p>The multiplicative inverse of a number is another number that, when multiplied with the original number, always results in 1. In this article, we will be discussing multiplicative inverse and its applications.</p>
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<h2>What is Multiplicative Inverse?</h2>
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<h2>What is Multiplicative Inverse?</h2>
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<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>A<a>number</a>’s reciprocal is its multiplicative inverse. The multiplicative inverse of a number 'n' is written as \(\frac{1}{n} \). Here, 1 becomes the<a></a><a>numerator</a>, and the number becomes the<a>denominator</a>.</p>
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<p>A<a>number</a>’s reciprocal is its multiplicative inverse. The multiplicative inverse of a number 'n' is written as \(\frac{1}{n} \). Here, 1 becomes the<a></a><a>numerator</a>, and the number becomes the<a>denominator</a>.</p>
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<p>When a number is multiplied by its reciprocal, the result will always be 1. </p>
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<p>When a number is multiplied by its reciprocal, the result will always be 1. </p>
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<p><a>Multiplying</a>the number ‘n’ with its reciprocal: \(n \times \frac{1}{n} = 1 \) For example, let’s take the number 4</p>
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<p><a>Multiplying</a>the number ‘n’ with its reciprocal: \(n \times \frac{1}{n} = 1 \) For example, let’s take the number 4</p>
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<p>According to the multiplicative inverse property:</p>
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<p>According to the multiplicative inverse property:</p>
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<p>n = 4</p>
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<p>n = 4</p>
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<p>\(\frac{1}{n} = \frac{1}{4} \)</p>
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<p>\(\frac{1}{n} = \frac{1}{4} \)</p>
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<p>Therefore, \(n \times \frac{1}{n} = 1 \;\Rightarrow\; 4 \times \frac{1}{4} = 1 \) </p>
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<p>Therefore, \(n \times \frac{1}{n} = 1 \;\Rightarrow\; 4 \times \frac{1}{4} = 1 \) </p>
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<p>Hence, multiplying 4 by its reciprocal gives 1 as the final result.</p>
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<p>Hence, multiplying 4 by its reciprocal gives 1 as the final result.</p>
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<h2>Multiplicative Inverse Property</h2>
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<h2>Multiplicative Inverse Property</h2>
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<p>The multiplicative inverse property says that when you multiply a number by its reciprocal, the result will always be 1. In the image, you can see that 1/n is the reciprocal of n, and their<a>product</a>gives 1.</p>
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<p>The multiplicative inverse property says that when you multiply a number by its reciprocal, the result will always be 1. In the image, you can see that 1/n is the reciprocal of n, and their<a>product</a>gives 1.</p>
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<p>For example, imagine you have five apples, and you want to split them into five groups of 1 apple each. To do that, you divide the apples by 5. Dividing a number by itself is the same as multiplying it by its reciprocal. So, 5 ÷ 5 = 5 × ⅕ = 1.</p>
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<p>For example, imagine you have five apples, and you want to split them into five groups of 1 apple each. To do that, you divide the apples by 5. Dividing a number by itself is the same as multiplying it by its reciprocal. So, 5 ÷ 5 = 5 × ⅕ = 1.</p>
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<p>Here, ⅕ is the multiplicative inverse of 5.</p>
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<p>Here, ⅕ is the multiplicative inverse of 5.</p>
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<h2>How to Find Multiplicative Inverse ?</h2>
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<h2>How to Find Multiplicative Inverse ?</h2>
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<p>The multiplicative inverse is found by dividing 1 by the given number. Now let’s learn how to find the multiplicative inverse. Follow the steps given below:</p>
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<p>The multiplicative inverse is found by dividing 1 by the given number. Now let’s learn how to find the multiplicative inverse. Follow the steps given below:</p>
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<p><strong>Step 1:</strong>Write the given number as a<a>fraction</a>. For example, if the number is 7, write it as \(\frac{7}{1} \).</p>
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<p><strong>Step 1:</strong>Write the given number as a<a>fraction</a>. For example, if the number is 7, write it as \(\frac{7}{1} \).</p>
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<p><strong>Step 2:</strong>Now switch the numerator and<a>denominator</a>. So 71 will become 17. Now the numerator is 1 and the denominator is 7</p>
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<p><strong>Step 2:</strong>Now switch the numerator and<a>denominator</a>. So 71 will become 17. Now the numerator is 1 and the denominator is 7</p>
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<p><strong>Step 3:</strong>Now multiply both the fractions obtained in Step 1 and Step 2 to make sure that the product is 1</p>
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<p><strong>Step 3:</strong>Now multiply both the fractions obtained in Step 1 and Step 2 to make sure that the product is 1</p>
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<p>\(\frac{7}{1} \times \frac{1}{7} = \frac{7}{7} = 1 \)</p>
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<p>\(\frac{7}{1} \times \frac{1}{7} = \frac{7}{7} = 1 \)</p>
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<p>Hence, the multiplicative inverse of 7 is \(\frac {1}{7}\) and their product is always 1.</p>
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<p>Hence, the multiplicative inverse of 7 is \(\frac {1}{7}\) and their product is always 1.</p>
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<h2>How to find Multiplicative Inverse of Integers ?</h2>
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<h2>How to find Multiplicative Inverse of Integers ?</h2>
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<p>An<a>integer</a>is a number that can be positive or negative. It can never be a<a>decimal</a>or fraction.</p>
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<p>An<a>integer</a>is a number that can be positive or negative. It can never be a<a>decimal</a>or fraction.</p>
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<p>For<a>positive integers</a>, the product of the number and its reciprocal is always 1. Similarly, the product of a negative integer with its reciprocal is also 1. </p>
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<p>For<a>positive integers</a>, the product of the number and its reciprocal is always 1. Similarly, the product of a negative integer with its reciprocal is also 1. </p>
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<p>Let the negative integer be -n.</p>
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<p>Let the negative integer be -n.</p>
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<p>The multiplicative inverse for -n will be \(\frac{1}{-n} \)</p>
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<p>The multiplicative inverse for -n will be \(\frac{1}{-n} \)</p>
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<p>Multiplying \((-n) \times \frac{1}{-n} \) gives the product as 1</p>
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<p>Multiplying \((-n) \times \frac{1}{-n} \) gives the product as 1</p>
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<p>For example, take -9. The multiplicative inverse for \(-9 \text{ is } \frac{1}{-9} \)</p>
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<p>For example, take -9. The multiplicative inverse for \(-9 \text{ is } \frac{1}{-9} \)</p>
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<p>Multiplying \(-9 \text{ is } \frac{1}{-9} \) gives the product of 1. </p>
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<p>Multiplying \(-9 \text{ is } \frac{1}{-9} \) gives the product of 1. </p>
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<h2>How to Find Multiplicative Inverse of a Fraction ?</h2>
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<h2>How to Find Multiplicative Inverse of a Fraction ?</h2>
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<p>Let \(\frac{m}{n}\) be the fraction. The multiplicative inverse of m/n will be \(\frac{n}{m}\). </p>
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<p>Let \(\frac{m}{n}\) be the fraction. The multiplicative inverse of m/n will be \(\frac{n}{m}\). </p>
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<p>Here, both m and n cannot be zero.</p>
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<p>Here, both m and n cannot be zero.</p>
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<p>Multiplying \(\frac{m}{n} \times \frac{n}{m} \) will give the product as 1.</p>
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<p>Multiplying \(\frac{m}{n} \times \frac{n}{m} \) will give the product as 1.</p>
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<p>For example, take the fraction \(\frac{5}{10} \). The multiplicative inverse will be \(\frac{10}{5} \)</p>
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<p>For example, take the fraction \(\frac{5}{10} \). The multiplicative inverse will be \(\frac{10}{5} \)</p>
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<p>Multiplying \(\frac{5}{10} \times \frac{10}{5} \) gives \(\frac{50}{50} = 1 \). Both<a>numerator and denominator</a>simplify to 1.</p>
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<p>Multiplying \(\frac{5}{10} \times \frac{10}{5} \) gives \(\frac{50}{50} = 1 \). Both<a>numerator and denominator</a>simplify to 1.</p>
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<h2>How to Find Multiplicative Inverse of a Mixed Fraction ?</h2>
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<h2>How to Find Multiplicative Inverse of a Mixed Fraction ?</h2>
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<p>To find the multiplicative inverse of a<a>mixed fraction</a>, first convert the given mixed fraction into an<a>improper fraction</a>. After converting, change the position of the fraction upside down to get the multiplicative inverse.</p>
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<p>To find the multiplicative inverse of a<a>mixed fraction</a>, first convert the given mixed fraction into an<a>improper fraction</a>. After converting, change the position of the fraction upside down to get the multiplicative inverse.</p>
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<p>Let’s take 4\(\frac{1}{2} \) as the mixed fraction.</p>
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<p>Let’s take 4\(\frac{1}{2} \) as the mixed fraction.</p>
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<p>Converting 4 \(\frac{1}{2} \) into an improper fraction results in \(\frac{9}{2} \)</p>
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<p>Converting 4 \(\frac{1}{2} \) into an improper fraction results in \(\frac{9}{2} \)</p>
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<p>Since the improper fraction is \(\frac{9}{2} \), its multiplicative inverse is \(\frac{2}{9} \)</p>
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<p>Since the improper fraction is \(\frac{9}{2} \), its multiplicative inverse is \(\frac{2}{9} \)</p>
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<p>Multiplying the fractions \(\frac{9}{2} \) and \(\frac{2}{9} \) will give 1 as the product:</p>
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<p>Multiplying the fractions \(\frac{9}{2} \) and \(\frac{2}{9} \) will give 1 as the product:</p>
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<p>\(\frac{9}{2} \times \frac{2}{9} = 1 \)</p>
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<p>\(\frac{9}{2} \times \frac{2}{9} = 1 \)</p>
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<h2>How to find Multiplicative Inverse of 0 ?</h2>
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<h2>How to find Multiplicative Inverse of 0 ?</h2>
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<p>The multiplicative inverse of a number is its reciprocal, which when multiplied by the number gives 1.</p>
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<p>The multiplicative inverse of a number is its reciprocal, which when multiplied by the number gives 1.</p>
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<p>The multiplicative inverse of 0 is not possible because multiplying any number by 0 will always be 0. The multiplicative inverse of 0 is written as \(\frac{1}{0} \), but it is not defined.</p>
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<p>The multiplicative inverse of 0 is not possible because multiplying any number by 0 will always be 0. The multiplicative inverse of 0 is written as \(\frac{1}{0} \), but it is not defined.</p>
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<h2>How to Find Multiplicative Inverse of Complex Numbers ?</h2>
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<h2>How to Find Multiplicative Inverse of Complex Numbers ?</h2>
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<p>Complex numbers are made of two parts, a real part (any number) and an imaginary part (i). Let Z be a<a>complex number</a>, where \(Z = a + ib \).</p>
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<p>Complex numbers are made of two parts, a real part (any number) and an imaginary part (i). Let Z be a<a>complex number</a>, where \(Z = a + ib \).</p>
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<p>Here, ‘a’ is the real part, and ‘ib’ is the imaginary part. The multiplicative inverse of Z is \(\frac{1}{Z} \), which is </p>
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<p>Here, ‘a’ is the real part, and ‘ib’ is the imaginary part. The multiplicative inverse of Z is \(\frac{1}{Z} \), which is </p>
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<p>For example, take 3 + i√2</p>
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<p>For example, take 3 + i√2</p>
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<p>In \(3 + i\sqrt{2} \):</p>
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<p>In \(3 + i\sqrt{2} \):</p>
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<p>3 is the real part, and \(i\sqrt{2} \) is the imaginary part.</p>
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<p>3 is the real part, and \(i\sqrt{2} \) is the imaginary part.</p>
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<p>The multiplicative inverse of \(3 + i\sqrt{2} \) is \(\frac{1}{3 + i\sqrt{2}} \)</p>
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<p>The multiplicative inverse of \(3 + i\sqrt{2} \) is \(\frac{1}{3 + i\sqrt{2}} \)</p>
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<p>Now, to find the multiplicative inverse of complex numbers, follow the steps given below:</p>
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<p>Now, to find the multiplicative inverse of complex numbers, follow the steps given below:</p>
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<p><strong>Step 1:</strong> Let the complex number \(Z = a + ib \). The reciprocal form of the given complex will be \(\frac{1}{a + ib} \)</p>
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<p><strong>Step 1:</strong> Let the complex number \(Z = a + ib \). The reciprocal form of the given complex will be \(\frac{1}{a + ib} \)</p>
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<p><strong>Step 2:</strong>Take the<a>conjugate</a>of \((a+ib)\), which is \((a-ib)\). We take the conjugate to remove the imaginary part by multiplying and dividing the inverse with \((a-ib) \)</p>
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<p><strong>Step 2:</strong>Take the<a>conjugate</a>of \((a+ib)\), which is \((a-ib)\). We take the conjugate to remove the imaginary part by multiplying and dividing the inverse with \((a-ib) \)</p>
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<p>→ \(\frac{1}{a + ib} \times \frac{a - ib}{a - ib} = \frac{a - ib}{a^2 + b^2} \)</p>
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<p>→ \(\frac{1}{a + ib} \times \frac{a - ib}{a - ib} = \frac{a - ib}{a^2 + b^2} \)</p>
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<p>Using the identity \((a + ib)(a - ib) = a^2 - (ib)^2 \quad \text{and} \quad i^2 = -1 \), we solve the denominator as \(a^2 + b^2\)</p>
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<p>Using the identity \((a + ib)(a - ib) = a^2 - (ib)^2 \quad \text{and} \quad i^2 = -1 \), we solve the denominator as \(a^2 + b^2\)</p>
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<p><strong>Step 3:</strong>Simplify to the simplest form</p>
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<p><strong>Step 3:</strong>Simplify to the simplest form</p>
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<p>\(\frac {1}{z} = \frac {a}{a^2 + b^2} - \frac {b}{a^2 + b^2}\)</p>
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<p>\(\frac {1}{z} = \frac {a}{a^2 + b^2} - \frac {b}{a^2 + b^2}\)</p>
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<h2>What is Modular Multiplicative Inverse ?</h2>
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<h2>What is Modular Multiplicative Inverse ?</h2>
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<p>The modular multiplicative inverse of a number p is another number x such that their product px leaves a<a>remainder</a>of 1 when<a>dividend</a>by m. This is written as,</p>
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<p>The modular multiplicative inverse of a number p is another number x such that their product px leaves a<a>remainder</a>of 1 when<a>dividend</a>by m. This is written as,</p>
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<p>\(px ≡ 1 (mod m)\)</p>
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<p>\(px ≡ 1 (mod m)\)</p>
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<p>This means that m perfectly divides px - 1.</p>
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<p>This means that m perfectly divides px - 1.</p>
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<p>A modular multiplicative inverse of p exists only when p and m are coprime, that is,<a>gcd</a>(p, m) = 1. </p>
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<p>A modular multiplicative inverse of p exists only when p and m are coprime, that is,<a>gcd</a>(p, m) = 1. </p>
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<strong>Type</strong><strong>Multiplicative Inverse</strong><strong>Example</strong><strong>Natural number</strong>For a<a>natural number</a>x, its inverse is 1/x The multiplicative inverse of 4 is 1/4<strong>Integer</strong>For any non-zero integer x, the inverse is 1/x The multiplicative inverse of -4 is -1/4<strong>Fraction</strong>For a fraction x/y where, x and y are non-zero, the inverse is y/x The multiplicative inverse of 2/7 is 7/2<strong>Unit Fraction</strong>For a<a>unit fraction</a>1/x, the inverse is x The multiplicative inverse of 1/20 is 20<h2>Important Notes</h2>
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<strong>Type</strong><strong>Multiplicative Inverse</strong><strong>Example</strong><strong>Natural number</strong>For a<a>natural number</a>x, its inverse is 1/x The multiplicative inverse of 4 is 1/4<strong>Integer</strong>For any non-zero integer x, the inverse is 1/x The multiplicative inverse of -4 is -1/4<strong>Fraction</strong>For a fraction x/y where, x and y are non-zero, the inverse is y/x The multiplicative inverse of 2/7 is 7/2<strong>Unit Fraction</strong>For a<a>unit fraction</a>1/x, the inverse is x The multiplicative inverse of 1/20 is 20<h2>Important Notes</h2>
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<ul><li>A number’s multiplicative inverse is also known as its reciprocal. </li>
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<ul><li>A number’s multiplicative inverse is also known as its reciprocal. </li>
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<li>When you multiply a number by its reciprocal, the result is always 1. </li>
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<li>When you multiply a number by its reciprocal, the result is always 1. </li>
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<li>Only non-zero numbers have a multiplicative inverse. </li>
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<li>Only non-zero numbers have a multiplicative inverse. </li>
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<li>The multiplicative inverse of a fraction is found by swapping its numerator and denominator. </li>
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<li>The multiplicative inverse of a fraction is found by swapping its numerator and denominator. </li>
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<li>For a unit fraction like 1/x, the multiplicative inverse is simply x.</li>
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<li>For a unit fraction like 1/x, the multiplicative inverse is simply x.</li>
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</ul><h2>Tips and Tricks for Multiplicative Inverse</h2>
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</ul><h2>Tips and Tricks for Multiplicative Inverse</h2>
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<p>To master finding the multiplicative inverse, follow the given tips and tricks. </p>
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<p>To master finding the multiplicative inverse, follow the given tips and tricks. </p>
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<ul><li>To find the inverse, switch the numerator and denominator. For the number 3, the multiplicative inverse will be 1/3. </li>
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<ul><li>To find the inverse, switch the numerator and denominator. For the number 3, the multiplicative inverse will be 1/3. </li>
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<li>If you are asked to find the inverse of 0, remember that it can never be written in its reciprocal form. </li>
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<li>If you are asked to find the inverse of 0, remember that it can never be written in its reciprocal form. </li>
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<li>Always convert the mixed fraction into an improper fraction before finding the multiplicative inverse. </li>
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<li>Always convert the mixed fraction into an improper fraction before finding the multiplicative inverse. </li>
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<li>Check your final answer by<a>multiplication</a>: After finding the multiplicative inverse, multiply it by the original number. The result should always be 1. </li>
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<li>Check your final answer by<a>multiplication</a>: After finding the multiplicative inverse, multiply it by the original number. The result should always be 1. </li>
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<li>Use in<a>algebraic expressions</a>carefully: When finding the inverse of<a>variables</a>or expressions, treat them the same way as numbers, flip the numerator and denominator. </li>
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<li>Use in<a>algebraic expressions</a>carefully: When finding the inverse of<a>variables</a>or expressions, treat them the same way as numbers, flip the numerator and denominator. </li>
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<li>Parents can use everyday examples, such as dividing snacks, to help children understand reciprocals more easily. </li>
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<li>Parents can use everyday examples, such as dividing snacks, to help children understand reciprocals more easily. </li>
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<li>Teachers can use visual objects and classroom activities to help students practice finding multiplicative inverses. </li>
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<li>Teachers can use visual objects and classroom activities to help students practice finding multiplicative inverses. </li>
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<li>Children should think of the multiplicative inverse as the partner that, when multiplied, makes 1.</li>
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<li>Children should think of the multiplicative inverse as the partner that, when multiplied, makes 1.</li>
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</ul><h2>Common Mistakes and How to Avoid Them in Multiplicative Inverse</h2>
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</ul><h2>Common Mistakes and How to Avoid Them in Multiplicative Inverse</h2>
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<p>Children might find it confusing while solving problems using the multiplicative inverse, leading to incorrect results. We will now discuss some mistakes a child can make, also the solutions to overcome them.</p>
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<p>Children might find it confusing while solving problems using the multiplicative inverse, leading to incorrect results. We will now discuss some mistakes a child can make, also the solutions to overcome them.</p>
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<h2>Real-Life Applications of Multiplicative Inverse</h2>
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<h2>Real-Life Applications of Multiplicative Inverse</h2>
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<p>Multiplicative inverse is not just used in daily life but also in professional fields. Given below are some real-life applications of the multiplicative inverse:</p>
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<p>Multiplicative inverse is not just used in daily life but also in professional fields. Given below are some real-life applications of the multiplicative inverse:</p>
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<ul><li>We use multiplicative inverse in cryptography to enable secure encryption and decryption. </li>
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<ul><li>We use multiplicative inverse in cryptography to enable secure encryption and decryption. </li>
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<li>In finance, multiplicative inverse helps calculate the reciprocal exchange rates for currency conversions. </li>
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<li>In finance, multiplicative inverse helps calculate the reciprocal exchange rates for currency conversions. </li>
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<li>It is also used in scaling to adjust the given quantities proportionally. </li>
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<li>It is also used in scaling to adjust the given quantities proportionally. </li>
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<li>Measurements for the conversion of units are done with the help of multiplicative inverse. </li>
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<li>Measurements for the conversion of units are done with the help of multiplicative inverse. </li>
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<li>In computer graphics and physics simulations to calculate inverse transformations, such as undoing rotations, scaling, or other linear operations we apply multiplicative inverse.</li>
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<li>In computer graphics and physics simulations to calculate inverse transformations, such as undoing rotations, scaling, or other linear operations we apply multiplicative inverse.</li>
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</ul><h3>Problem 1</h3>
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</ul><h2>Download Worksheets</h2>
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<h3>Problem 1</h3>
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<p>Find the multiplicative inverse of -25?</p>
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<p>Find the multiplicative inverse of -25?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>\(\frac{1}{-25} \)</p>
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<p>\(\frac{1}{-25} \)</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>For a negative number, its multiplicative inverse will always be in the form \(\frac{1}{-n} \), where -n is the negative number. Therefore, the multiplicative inverse of -25 is \(\frac{1}{-25} \).</p>
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<p>For a negative number, its multiplicative inverse will always be in the form \(\frac{1}{-n} \), where -n is the negative number. Therefore, the multiplicative inverse of -25 is \(\frac{1}{-25} \).</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>What is the multiplicative inverse of 1 2/3 ?</p>
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<p>What is the multiplicative inverse of 1 2/3 ?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>\(\frac{3}{5} \)</p>
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<p>\(\frac{3}{5} \)</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, convert the mixed fraction 1 \(\frac{2}{3} \) into an improper fraction. Convert 1 2/3 to improper fraction: \(\frac{1 \times 3 + 2}{3} = \frac{5}{3} \). Then reciprocal: \(\frac{3}{5} \).</p>
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<p>First, convert the mixed fraction 1 \(\frac{2}{3} \) into an improper fraction. Convert 1 2/3 to improper fraction: \(\frac{1 \times 3 + 2}{3} = \frac{5}{3} \). Then reciprocal: \(\frac{3}{5} \).</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>What is the modular multiplicative inverse of 3 mod 11?</p>
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<p>What is the modular multiplicative inverse of 3 mod 11?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>4 is the modular multiplicative inverse of 3 mod 11.</p>
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<p>4 is the modular multiplicative inverse of 3 mod 11.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The expression that satisfies the modular inverse is: </p>
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<p>The expression that satisfies the modular inverse is: </p>
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<p>\(a \times b \equiv 1 \pmod{x} \). </p>
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<p>\(a \times b \equiv 1 \pmod{x} \). </p>
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<p>Here, we need to find ‘b’. Applying the values of ‘a’ and ‘x’ in the expression, we get</p>
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<p>Here, we need to find ‘b’. Applying the values of ‘a’ and ‘x’ in the expression, we get</p>
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<p>\(a \times b \equiv 1 \pmod{x} \quad \text{as} \quad 3 \times b \equiv 1 \pmod{11} \)</p>
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<p>\(a \times b \equiv 1 \pmod{x} \quad \text{as} \quad 3 \times b \equiv 1 \pmod{11} \)</p>
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<p>Here, the value of ‘b’ is 4.</p>
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<p>Here, the value of ‘b’ is 4.</p>
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<p>\(3 \times 4 = 12 \equiv 1 \pmod{11} \)</p>
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<p>\(3 \times 4 = 12 \equiv 1 \pmod{11} \)</p>
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<p>Therefore, the modular multiplicative inverse of 3 mod 11 is 4.</p>
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<p>Therefore, the modular multiplicative inverse of 3 mod 11 is 4.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>What is the multiplicative inverse of 25%?</p>
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<p>What is the multiplicative inverse of 25%?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The multiplicative inverse of 25% is 4.</p>
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<p>The multiplicative inverse of 25% is 4.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, convert 25% to an improper fraction.</p>
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<p>First, convert 25% to an improper fraction.</p>
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<p>25% = 25100 = 14</p>
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<p>25% = 25100 = 14</p>
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<p>Since the improper fraction is 14, the multiplicative inverse is 4.</p>
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<p>Since the improper fraction is 14, the multiplicative inverse is 4.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Find the multiplicative inverse of 500 and convert it into a decimal.</p>
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<p>Find the multiplicative inverse of 500 and convert it into a decimal.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Multiplicative inverse is \(\frac{1}{500} \). The decimal form of \(\frac{1}{500} = 0.002 \).</p>
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<p>Multiplicative inverse is \(\frac{1}{500} \). The decimal form of \(\frac{1}{500} = 0.002 \).</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Multiplicative inverse is the reciprocal of the given number. Therefore, the multiplicative inverse of 500 is \(\frac{1}{500} \) and its decimal form is 0.0002.</p>
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<p>Multiplicative inverse is the reciprocal of the given number. Therefore, the multiplicative inverse of 500 is \(\frac{1}{500} \) and its decimal form is 0.0002.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Multiplicative Inverse</h2>
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<h2>FAQs on Multiplicative Inverse</h2>
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<h3>1.What is the multiplicative inverse of 1?</h3>
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<h3>1.What is the multiplicative inverse of 1?</h3>
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<p>The multiplicative inverse of 1 will always be 1</p>
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<p>The multiplicative inverse of 1 will always be 1</p>
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<h3>2.What is the inverse of a decimal number?</h3>
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<h3>2.What is the inverse of a decimal number?</h3>
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<p>First, convert the given decimal into an improper fraction and then take its reciprocal to get the multiplicative inverse.</p>
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<p>First, convert the given decimal into an improper fraction and then take its reciprocal to get the multiplicative inverse.</p>
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<h3>3.How can we verify the multiplicative inverse?</h3>
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<h3>3.How can we verify the multiplicative inverse?</h3>
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<p>If the given number and its reciprocal give the product as 1, we can verify that the inverse is correct.</p>
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<p>If the given number and its reciprocal give the product as 1, we can verify that the inverse is correct.</p>
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<h3>4.Write the multiplicative inverse of the unit fraction.</h3>
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<h3>4.Write the multiplicative inverse of the unit fraction.</h3>
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<p>Unit fractions are those with 1 as the numerator. Therefore, the inverse of 8 is \(\frac{1}{8} \)</p>
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<p>Unit fractions are those with 1 as the numerator. Therefore, the inverse of 8 is \(\frac{1}{8} \)</p>
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<h3>5.Why does zero not have a multiplicative inverse?</h3>
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<h3>5.Why does zero not have a multiplicative inverse?</h3>
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<p>It is because no number multiplied by 0 gives 1 as the product.</p>
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<p>It is because no number multiplied by 0 gives 1 as the product.</p>
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<h3>6.How can I help my child understand the concept of multiplicative inverse at home?</h3>
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<h3>6.How can I help my child understand the concept of multiplicative inverse at home?</h3>
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<p>Start with simple numbers, show that the multiplicative inverse of a number x is \(\frac {1}{x}\) because multiplying them gives 1. For example, \(2 \times \frac{1}{2} = 1 \). Use visual aids, like number lines or coins, and play interactive games using flash cards and quizzes.</p>
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<p>Start with simple numbers, show that the multiplicative inverse of a number x is \(\frac {1}{x}\) because multiplying them gives 1. For example, \(2 \times \frac{1}{2} = 1 \). Use visual aids, like number lines or coins, and play interactive games using flash cards and quizzes.</p>
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<h3>7.How does understanding multiplicative inverse improve my child’s overall math skills?</h3>
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<h3>7.How does understanding multiplicative inverse improve my child’s overall math skills?</h3>
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<p>Understanding multiplicative inverse strengthens a child’s skills in fractions, decimals, and<a>division</a>, making calculations easier. It also builds a foundation for<a>algebra</a>and problem-solving in real-life<a>math</a>situations.</p>
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<p>Understanding multiplicative inverse strengthens a child’s skills in fractions, decimals, and<a>division</a>, making calculations easier. It also builds a foundation for<a>algebra</a>and problem-solving in real-life<a>math</a>situations.</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>
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<p>: She loves to read number jokes and games.</p>