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2026-01-01
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2026-02-28
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<p>202 Learners</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1001.</p>
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<p>The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1001.</p>
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<h2>What is the Square of 1001</h2>
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<h2>What is the Square of 1001</h2>
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<p>The<a>square</a>of a<a>number</a>is the<a>product</a>of the number itself. The square of 1001 is 1001 × 1001. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in<a>math</a>as \(1001^2\), where 1001 is the<a>base</a>and 2 is the<a>exponent</a>. The square of a positive and a<a>negative number</a>is always positive.</p>
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<p>The<a>square</a>of a<a>number</a>is the<a>product</a>of the number itself. The square of 1001 is 1001 × 1001. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in<a>math</a>as \(1001^2\), where 1001 is the<a>base</a>and 2 is the<a>exponent</a>. The square of a positive and a<a>negative number</a>is always positive.</p>
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<p>For example, (52 = 25); ((-5)2 = 25).</p>
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<p>For example, (52 = 25); ((-5)2 = 25).</p>
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<p>The square of 1001 is 1001 × 1001 = 1,002,001.</p>
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<p>The square of 1001 is 1001 × 1001 = 1,002,001.</p>
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<p>Square of 1001 in exponential form: (10012)</p>
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<p>Square of 1001 in exponential form: (10012)</p>
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<p>Square of 1001 in arithmetic form: 1001 × 1001</p>
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<p>Square of 1001 in arithmetic form: 1001 × 1001</p>
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<h2>How to Calculate the Value of Square of 1001</h2>
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<h2>How to Calculate the Value of Square of 1001</h2>
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<p>The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.</p>
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<p>The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.</p>
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<ul><li>By Multiplication Method</li>
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<ul><li>By Multiplication Method</li>
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<li>Using a Formula</li>
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<li>Using a Formula</li>
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<li>Using a Calculator</li>
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<li>Using a Calculator</li>
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</ul><h3>By the Multiplication method</h3>
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</ul><h3>By the Multiplication method</h3>
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<p>In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1001.</p>
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<p>In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1001.</p>
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<p><strong>Step 1:</strong>Identify the number. Here, the number is 1001.</p>
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<p><strong>Step 1:</strong>Identify the number. Here, the number is 1001.</p>
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<p><strong>Step 2:</strong>Multiplying the number by itself, we get, 1001 × 1001 = 1,002,001.</p>
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<p><strong>Step 2:</strong>Multiplying the number by itself, we get, 1001 × 1001 = 1,002,001.</p>
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<p>The square of 1001 is 1,002,001.</p>
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<p>The square of 1001 is 1,002,001.</p>
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<h3>Explore Our Programs</h3>
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<h3>Using a Formula (\(a^2\))</h3>
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<h3>Using a Formula (\(a^2\))</h3>
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<p>In this method, the<a>formula</a>, (a2) is used to find the square of the number. Where (a) is the number.</p>
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<p>In this method, the<a>formula</a>, (a2) is used to find the square of the number. Where (a) is the number.</p>
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<p><strong>Step 1:</strong>Understanding the<a>equation</a>Square of a number = (a2)</p>
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<p><strong>Step 1:</strong>Understanding the<a>equation</a>Square of a number = (a2)</p>
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<p>(a2 = a × a)</p>
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<p>(a2 = a × a)</p>
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<p><strong>Step 2:</strong>Identifying the number and substituting the value in the equation.</p>
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<p><strong>Step 2:</strong>Identifying the number and substituting the value in the equation.</p>
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<p>Here, ‘a’ is 1001.</p>
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<p>Here, ‘a’ is 1001.</p>
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<p>So: (10012 = 1001 × 1001 = 1,002,001)</p>
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<p>So: (10012 = 1001 × 1001 = 1,002,001)</p>
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<h3>By Using a Calculator</h3>
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<h3>By Using a Calculator</h3>
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<p>Using a<a>calculator</a>to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 1001.</p>
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<p>Using a<a>calculator</a>to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 1001.</p>
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<p>Step 1: Enter the number in the calculator. Enter 1001 in the calculator.</p>
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<p>Step 1: Enter the number in the calculator. Enter 1001 in the calculator.</p>
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<p>Step 2: Multiply the number by itself using the<a>multiplication</a>button(×). That is 1001 × 1001.</p>
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<p>Step 2: Multiply the number by itself using the<a>multiplication</a>button(×). That is 1001 × 1001.</p>
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<p>Step 3: Press the equal button to find the answer. Here, the square of 1001 is 1,002,001.</p>
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<p>Step 3: Press the equal button to find the answer. Here, the square of 1001 is 1,002,001.</p>
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<p>Tips and Tricks for the Square of 1001</p>
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<p>Tips and Tricks for the Square of 1001</p>
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<p>Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.</p>
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<p>Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.</p>
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<ul><li>The square of an<a>even number</a>is always an even number. For example, (62 = 36). </li>
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<ul><li>The square of an<a>even number</a>is always an even number. For example, (62 = 36). </li>
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<li>The square of an<a>odd number</a>is always an odd number. For example, (52 = 25). </li>
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<li>The square of an<a>odd number</a>is always an odd number. For example, (52 = 25). </li>
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<li>The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9. </li>
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<li>The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9. </li>
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<li>If the<a>square root</a>of a number is a<a>fraction</a>or a<a>decimal</a>, then the number is not a perfect square. For example, (sqrt{1.44} = 1.2). </li>
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<li>If the<a>square root</a>of a number is a<a>fraction</a>or a<a>decimal</a>, then the number is not a perfect square. For example, (sqrt{1.44} = 1.2). </li>
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<li>The square root of a perfect square is always a whole number. For example, (sqrt{144} = 12).</li>
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<li>The square root of a perfect square is always a whole number. For example, (sqrt{144} = 12).</li>
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</ul><h2>Common Mistakes to Avoid When Calculating the Square of 1001</h2>
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</ul><h2>Common Mistakes to Avoid When Calculating the Square of 1001</h2>
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<p>Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.</p>
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<p>Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.</p>
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<h2>Download Worksheets</h2>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>A square garden has an area of 1,002,001 square meters. What is the length of one side of the garden?</p>
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<p>A square garden has an area of 1,002,001 square meters. What is the length of one side of the garden?</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 area of a square = (a2)</p>
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<p>The area of a square = (a2)</p>
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<p>So, the area of the square = 1,002,001 m2</p>
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<p>So, the area of the square = 1,002,001 m2</p>
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<p>So, the length = (sqrt{1,002,001} = 1001).</p>
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<p>So, the length = (sqrt{1,002,001} = 1001).</p>
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<p>The length of each side = 1001 m</p>
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<p>The length of each side = 1001 m</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The length of a square garden is 1001 meters. Because the area is 1,002,001 m2, the length is (sqrt{1,002,001} = 1001).</p>
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<p>The length of a square garden is 1001 meters. Because the area is 1,002,001 m2, the length is (sqrt{1,002,001} = 1001).</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>Sarah is fencing her square field with a side length of 1001 feet. The cost to fence one foot is 5 dollars. How much will it cost to fence the entire field?</p>
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<p>Sarah is fencing her square field with a side length of 1001 feet. The cost to fence one foot is 5 dollars. How much will it cost to fence the entire field?</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 length of the field = 1001 feet</p>
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<p>The length of the field = 1001 feet</p>
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<p>The cost to fence 1 foot of the field = 5 dollars.</p>
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<p>The cost to fence 1 foot of the field = 5 dollars.</p>
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<p>To find the total cost to fence, we find the perimeter of the field,</p>
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<p>To find the total cost to fence, we find the perimeter of the field,</p>
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<p>Perimeter of the field = 4 × side length</p>
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<p>Perimeter of the field = 4 × side length</p>
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<p>Here side length = 1001</p>
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<p>Here side length = 1001</p>
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<p>Therefore, the perimeter = 4 × 1001 = 4004.</p>
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<p>Therefore, the perimeter = 4 × 1001 = 4004.</p>
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<p>The cost to fence the field = 4004 × 5 = 20,020.</p>
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<p>The cost to fence the field = 4004 × 5 = 20,020.</p>
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<p>The total cost = 20,020 dollars</p>
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<p>The total cost = 20,020 dollars</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the cost to fence the field, we multiply the perimeter of the field by the cost to fence per foot. So, the total cost is 20,020 dollars.</p>
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<p>To find the cost to fence the field, we multiply the perimeter of the field by the cost to fence per foot. So, the total cost is 20,020 dollars.</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>Find the area of a circle whose radius is 1001 meters.</p>
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<p>Find the area of a circle whose radius is 1001 meters.</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 area of the circle = 3,146,127.64 m2</p>
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<p>The area of the circle = 3,146,127.64 m2</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The area of a circle = (pi r2)</p>
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<p>The area of a circle = (pi r2)</p>
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<p>Here, r = 1001</p>
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<p>Here, r = 1001</p>
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<p>Therefore, the area of the circle = (pi × 10012 ) ≈ (3.14 × 1001 × 1001 = 3,146,127.64) m2.</p>
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<p>Therefore, the area of the circle = (pi × 10012 ) ≈ (3.14 × 1001 × 1001 = 3,146,127.64) m2.</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>A square plot has an area of 1,002,001 square feet. Find the perimeter of the plot.</p>
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<p>A square plot has an area of 1,002,001 square feet. Find the perimeter of the plot.</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 perimeter of the plot is 4,004 feet.</p>
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<p>The perimeter of the plot is 4,004 feet.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The area of the square = (a2)</p>
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<p>The area of the square = (a2)</p>
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<p>Here, the area is 1,002,001 ft2</p>
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<p>Here, the area is 1,002,001 ft2</p>
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<p>The length of the side is (sqrt{1,002,001} = 1001)</p>
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<p>The length of the side is (sqrt{1,002,001} = 1001)</p>
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<p>Perimeter of the square = 4a</p>
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<p>Perimeter of the square = 4a</p>
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<p>Here, a = 1001</p>
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<p>Here, a = 1001</p>
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<p>Therefore, the perimeter = 4 × 1001 = 4004.</p>
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<p>Therefore, the perimeter = 4 × 1001 = 4004.</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 square of 1002.</p>
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<p>Find the square of 1002.</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 square of 1002 is 1,004,004</p>
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<p>The square of 1002 is 1,004,004</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The square of 1002 is multiplying 1002 by 1002. So, the square = 1002 × 1002 = 1,004,004</p>
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<p>The square of 1002 is multiplying 1002 by 1002. So, the square = 1002 × 1002 = 1,004,004</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Square of 1001</h2>
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<h2>FAQs on Square of 1001</h2>
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<h3>1.What is the square of 1001?</h3>
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<h3>1.What is the square of 1001?</h3>
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<p>The square of 1001 is 1,002,001, as 1001 × 1001 = 1,002,001.</p>
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<p>The square of 1001 is 1,002,001, as 1001 × 1001 = 1,002,001.</p>
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<h3>2.What is the square root of 1001?</h3>
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<h3>2.What is the square root of 1001?</h3>
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<p>The square root of 1001 is approximately ±31.64.</p>
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<p>The square root of 1001 is approximately ±31.64.</p>
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<h3>3.Is 1001 a prime number?</h3>
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<h3>3.Is 1001 a prime number?</h3>
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<p>No, 1001 is not a<a>prime number</a>; it is divisible by 7, 11, and 13.</p>
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<p>No, 1001 is not a<a>prime number</a>; it is divisible by 7, 11, and 13.</p>
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<h3>4.What are the first few multiples of 1001?</h3>
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<h3>4.What are the first few multiples of 1001?</h3>
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<p>The first few<a>multiples</a>of 1001 are 1001, 2002, 3003, 4004, 5005, and so on.</p>
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<p>The first few<a>multiples</a>of 1001 are 1001, 2002, 3003, 4004, 5005, and so on.</p>
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<h3>5.What is the square of 1000?</h3>
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<h3>5.What is the square of 1000?</h3>
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<p>The square of 1000 is 1,000,000.</p>
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<p>The square of 1000 is 1,000,000.</p>
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<h2>Important Glossaries for Square 1001.</h2>
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<h2>Important Glossaries for Square 1001.</h2>
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<ul><li><strong>Prime number:</strong>A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.</li>
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<ul><li><strong>Prime number:</strong>A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.</li>
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<li><strong>Exponential form:</strong>A way of expressing numbers as a base raised to a power. For example, (92) where 9 is the base and 2 is the power.</li>
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<li><strong>Exponential form:</strong>A way of expressing numbers as a base raised to a power. For example, (92) where 9 is the base and 2 is the power.</li>
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<li><strong>Square root:</strong>The number that, when multiplied by itself, gives the original number. For example, (sqrt{144} = 12).</li>
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<li><strong>Square root:</strong>The number that, when multiplied by itself, gives the original number. For example, (sqrt{144} = 12).</li>
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<li><strong>Multiplication method:</strong>A method to find the square of a number by multiplying it by itself.</li>
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<li><strong>Multiplication method:</strong>A method to find the square of a number by multiplying it by itself.</li>
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<li><strong>Perfect square:</strong>A number that has an integer as its square root. For example, 144 is a perfect square because its square root is 12.</li>
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<li><strong>Perfect square:</strong>A number that has an integer as its square root. For example, 144 is a perfect square because its square root is 12.</li>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<h2>Jaskaran Singh Saluja</h2>
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<h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>