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2 <p>Last updated on<strong>December 12, 2025</strong></p>

3 <p>When two quantities are different, we represent them using the "not equal" or "not equal to" sign. The "not equal sign (≠)" can be used to indicate inequality when two values are not equal. In this article, we will be discussing the “not equal” symbol and its applications.</p>

4 <h2>What is the “Not Equal Sign” in Math?</h2>

5 <p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

6 <p>▶</p>

7 <p>The not equal to sign (≠) is the mathematical<a>symbol</a>that indicates that two values are not equal. It is the opposite of the equal sign (=).</p>

8 <p>When you see ≠, it means:</p>

9 <ul><li>The<a>number</a>on the left is different from the one on the right.</li>

10 <li>The two quantities do not equal. </li>

11 </ul><p>The symbol looks like an equal sign with a slanted line through it, clearly indicating that the values are unequal.</p>

12 <p>Let’s see an example:</p>

13 <p>5 ≠ 3</p>

14 <p>Because five is not the same as 3</p>

15 <h2>How to Show “Not Equal”?</h2>

16 <p>The not equal sign (≠) is used to show the<a>relation</a>between two unequal quantities. These quantities can be<a>whole numbers</a>,<a>real numbers</a>,<a>fractions</a>and even<a>decimals</a>. Not equal can be also be used in<a>equations</a>when performing arithmetics operations, or solving complex problems.</p>

17 <p>For example: </p>

18 <ul><li>5 + 4 ≠ 6 → because 5 + 4 equals 9 and not 6. </li>

19 <li>2.3 ≠ 4.1 </li>

20 <li>1/3 ≠ 4/2 </li>

21 <li>2 3/5 ≠ 1 3/2</li>

22 </ul><p>x ≠ y → This means the value of x is not equal to the value of y.</p>

23 <h2>Where do we use the Not Equal in Math?</h2>

24 <p>The not equal sign (≠) is used in<a>math</a>to indicate that two numbers,<a>expressions</a>, or values are not equal. We use it in many situations, like:</p>

25 <p><strong>1. Comparisons:</strong>To show that one number is different from another.</p>

26 <p>Example:</p>

27 <p>7 ≠ 9</p>

28 <p>Because seven is not equal to 9</p>

29 <p><strong>2. Equations and Inequalities:</strong>To say that the<a>variable</a>cannot be a specific value.</p>

30 <p>Example:</p>

31 <p>x ≠ 4</p>

32 <p>(x cannot be 4)</p>

33 <p><strong>3. Domain Restrictions:</strong>To show that the values that make an expression undefined.</p>

34 <p>Example:</p>

35 <p>1x is undefined when x = 0</p>

36 <p>So, we write: x ≠ 0</p>

37 <p><strong>4. Checking Correctness:</strong>To point out that the two results do not<a>match</a>.</p>

38 <p>Example:</p>

39 <p>5 + 3 ≠ 10</p>

40 <p>Because 5 + 3 = 8, not 10</p>

41 <p>The not-equal sign clearly shows that the two sides of a statement do not match or cannot be equal.</p>

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44 <h2>Comparison Signs in Math</h2>

43 <h2>Comparison Signs in Math</h2>

45 <p>In mathematics, comparison signs help us quickly compare two numbers, quantities, or expressions. These symbols make it easier to show the relationships without writing the long sentences like “<a>greater than</a>” or “<a>less than</a>.”</p>

44 <p>In mathematics, comparison signs help us quickly compare two numbers, quantities, or expressions. These symbols make it easier to show the relationships without writing the long sentences like “<a>greater than</a>” or “<a>less than</a>.”</p>

46 <p>The equal to sign (=) shows that the value on the left-hand side (L.H.S.) is the same as the value on the right-hand side (R.H.S.). The does not equal to sign (≠) indicates that the values on both sides are not equal.</p>

45 <p>The equal to sign (=) shows that the value on the left-hand side (L.H.S.) is the same as the value on the right-hand side (R.H.S.). The does not equal to sign (≠) indicates that the values on both sides are not equal.</p>

47 <p>Here is the common comparison symbol and its meaning</p>

46 <p>Here is the common comparison symbol and its meaning</p>

48 <strong>Comparison Symbol</strong><strong>Meaning</strong>= Equal to < Less than > Greater than $\neq$ Not equal $\leq$ Less than or equal to $\geq$ Greater than or equal to<h2>Tips and Tricks to Master Not Equal</h2>

47 <strong>Comparison Symbol</strong><strong>Meaning</strong>= Equal to < Less than > Greater than $\neq$ Not equal $\leq$ Less than or equal to $\geq$ Greater than or equal to<h2>Tips and Tricks to Master Not Equal</h2>

49 <p>Understanding not equal sign can be one of the simplest topics in mathematics. Here are a few tips to help to master not equal:</p>

48 <p>Understanding not equal sign can be one of the simplest topics in mathematics. Here are a few tips to help to master not equal:</p>

50 <ol><li>Assume the parallel lines as a regular path, and when the line is drawn crossing the path. It means that now the path is broken into two different parts which are not the same. </li>

49 <ol><li>Assume the parallel lines as a regular path, and when the line is drawn crossing the path. It means that now the path is broken into two different parts which are not the same. </li>

51 <li>When checking<a>inequality</a>for<a>decimal numbers</a>, check the whole parts and fractional parts both. Example 2.32 and 2.12 Here, the whole parts are equal: 2 = 2, but the fractional parts are not equal: 0.32 ≠ 0.12. ⇒ 2.31 ≠ 2.12 </li>

50 <li>When checking<a>inequality</a>for<a>decimal numbers</a>, check the whole parts and fractional parts both. Example 2.32 and 2.12 Here, the whole parts are equal: 2 = 2, but the fractional parts are not equal: 0.32 ≠ 0.12. ⇒ 2.31 ≠ 2.12 </li>

52 <li>To verify if two fractions are equal or not, always simplify the<a>ratios</a>first. For example, 1/2 and 2/4 can be seen as not equal, but when 1/4 is simplified it gives 1/2. Hence, both are equal. </li>

51 <li>To verify if two fractions are equal or not, always simplify the<a>ratios</a>first. For example, 1/2 and 2/4 can be seen as not equal, but when 1/4 is simplified it gives 1/2. Hence, both are equal. </li>

53 <li>Always check for negative signs. For example, </li>

52 <li>Always check for negative signs. For example, </li>

54 <li>Use real life items to express numbers and visualize not equal signs. For example, 10 orange candies are not equal to 5 strawberry candies. </li>

53 <li>Use real life items to express numbers and visualize not equal signs. For example, 10 orange candies are not equal to 5 strawberry candies. </li>

55 <li>Use real objects to show the differences, so children can easily understand when two quantities are not equal. </li>

54 <li>Use real objects to show the differences, so children can easily understand when two quantities are not equal. </li>

56 <li>Show the number cards and use daily examples to compare the values, including cases that use the less-than-or-equal-to sign. </li>

55 <li>Show the number cards and use daily examples to compare the values, including cases that use the less-than-or-equal-to sign. </li>

57 <li>Draw a balance scale to help children to see the equal and unequal quantities clearly. Ask students to explain their reasoning to strengthen understanding and confidence.</li>

56 <li>Draw a balance scale to help children to see the equal and unequal quantities clearly. Ask students to explain their reasoning to strengthen understanding and confidence.</li>

58 </ol><h2>Common Mistakes and How to Avoid Them in Not Equal</h2>

57 </ol><h2>Common Mistakes and How to Avoid Them in Not Equal</h2>

59 <p>Not equal is an important sign that shows two quantities are different. However, students often make mistakes when using this sign. Here are a few common mistakes and tips to avoid them:</p>

58 <p>Not equal is an important sign that shows two quantities are different. However, students often make mistakes when using this sign. Here are a few common mistakes and tips to avoid them:</p>

60 <h2>Real-Life Applications of Not Equal</h2>

59 <h2>Real-Life Applications of Not Equal</h2>

61 <p>“Not equal to” has several practical applications from our daily to daily life activities to advanced mathematical concepts. Let’s see how “not equal to” applies to real-life scenarios:</p>

60 <p>“Not equal to” has several practical applications from our daily to daily life activities to advanced mathematical concepts. Let’s see how “not equal to” applies to real-life scenarios:</p>

62 <ul><li><strong>Comparing quantities: </strong>Using the concept of “not equal,” we can compare items of different prices.<p>For example: </p>

61 <ul><li><strong>Comparing quantities: </strong>Using the concept of “not equal,” we can compare items of different prices.<p>For example: </p>

63 <p>The price of a scrapbook = $15</p>

62 <p>The price of a scrapbook = $15</p>

64 <p>The price of a pencil = $5</p>

63 <p>The price of a pencil = $5</p>

65 <p>Since 15 ≠ 5, the prices are not equal.</p>

64 <p>Since 15 ≠ 5, the prices are not equal.</p>

66 </li>

65 </li>

67 </ul><ul><li><strong>Comparing weather: </strong>We can also represent varying weather conditions using the not equal sign.<p>For example: 16°C ≠ 22 °C.</p>

66 </ul><ul><li><strong>Comparing weather: </strong>We can also represent varying weather conditions using the not equal sign.<p>For example: 16°C ≠ 22 °C.</p>

68 </li>

67 </li>

69 </ul><ul><li><strong>Academics: </strong>The not equal sign can be used to express different marks obtained by students, and can be compared to obtain ranks.<p>For example, if the top marks achieved by a student is 97 out of 100, then by using not equal sign we can find if there are other students as well who have also achieved the same marks,</p>

68 </ul><ul><li><strong>Academics: </strong>The not equal sign can be used to express different marks obtained by students, and can be compared to obtain ranks.<p>For example, if the top marks achieved by a student is 97 out of 100, then by using not equal sign we can find if there are other students as well who have also achieved the same marks,</p>

70 </li>

69 </li>

71 </ul><ul><li><strong>Sports: </strong>To compare goals and scores acquired by a player or team to decide the winner can be done by not equal sign.<p>For example, a team has scored 4 goals and another has 7. Since 4 ≠ 7, the match isn't a tie, and the team with greater scores wins.</p>

70 </ul><ul><li><strong>Sports: </strong>To compare goals and scores acquired by a player or team to decide the winner can be done by not equal sign.<p>For example, a team has scored 4 goals and another has 7. Since 4 ≠ 7, the match isn't a tie, and the team with greater scores wins.</p>

72 </li>

71 </li>

73 </ul><ul><li><strong>Construction: </strong>To find the right size of a material for construction or carpentry purpose, not equal signs are used. <p>For example, if a table has a top surface area of 12cm2, then the marble to build the table-top is 7 cm2. Since, 12 ≠ 7, the marble is not of the right size.</p>

72 </ul><ul><li><strong>Construction: </strong>To find the right size of a material for construction or carpentry purpose, not equal signs are used. <p>For example, if a table has a top surface area of 12cm2, then the marble to build the table-top is 7 cm2. Since, 12 ≠ 7, the marble is not of the right size.</p>

74 </li>

73 </li>

75 </ul><h3>Problem 1</h3>

74 </ul><h3>Problem 1</h3>

76 <p>Jerry scored 65 marks in Math, and Annie scored 76 marks. Can we say their scores are not equal?</p>

75 <p>Jerry scored 65 marks in Math, and Annie scored 76 marks. Can we say their scores are not equal?</p>

77 <p>Okay, lets begin</p>

76 <p>Okay, lets begin</p>

78 <p>Yes, we can say that their scores are not equal.</p>

77 <p>Yes, we can say that their scores are not equal.</p>

79 <h3>Explanation</h3>

78 <h3>Explanation</h3>

80 <p>Jerry scored 65 marks and Annie scored 76 marks. 65 and 76 are different.</p>

79 <p>Jerry scored 65 marks and Annie scored 76 marks. 65 and 76 are different.</p>

81 <p>So we conclude that 65 ≠ 76.</p>

80 <p>So we conclude that 65 ≠ 76.</p>

82 <p>Well explained 👍</p>

81 <p>Well explained 👍</p>

83 <h3>Problem 2</h3>

82 <h3>Problem 2</h3>

84 <p>Is a ≠ b? Given: a = 11 and b = 2.5</p>

83 <p>Is a ≠ b? Given: a = 11 and b = 2.5</p>

85 <p>Okay, lets begin</p>

84 <p>Okay, lets begin</p>

86 <p>a ≠ b</p>

85 <p>a ≠ b</p>

87 <h3>Explanation</h3>

86 <h3>Explanation</h3>

88 <p>The value of a is 11, which is a whole number and b has a value of 2.5 (decimal number)</p>

87 <p>The value of a is 11, which is a whole number and b has a value of 2.5 (decimal number)</p>

89 <p>Since 11 is not equal to 2.5, a ≠ b.</p>

88 <p>Since 11 is not equal to 2.5, a ≠ b.</p>

90 <p>Well explained 👍</p>

89 <p>Well explained 👍</p>

91 <h3>Problem 3</h3>

90 <h3>Problem 3</h3>

92 <p>Is 32 not equal to -56?</p>

91 <p>Is 32 not equal to -56?</p>

93 <p>Okay, lets begin</p>

92 <p>Okay, lets begin</p>

94 <p>No</p>

93 <p>No</p>

95 <h3>Explanation</h3>

94 <h3>Explanation</h3>

96 <p>Yes, 32 and -56 are different numbers.</p>

95 <p>Yes, 32 and -56 are different numbers.</p>

97 <p>So, 32 ≠ -56</p>

96 <p>So, 32 ≠ -56</p>

98 <p>Well explained 👍</p>

97 <p>Well explained 👍</p>

99 <h3>Problem 4</h3>

98 <h3>Problem 4</h3>

100 <p>A child writes: 6 + 2/3 ≠ 8 Is this correct?</p>

99 <p>A child writes: 6 + 2/3 ≠ 8 Is this correct?</p>

101 <p>Okay, lets begin</p>

100 <p>Okay, lets begin</p>

102 <p>Yes</p>

101 <p>Yes</p>

103 <h3>Explanation</h3>

102 <h3>Explanation</h3>

104 <p>6 can be written as: 6/1. </p>

103 <p>6 can be written as: 6/1. </p>

105 <ul><li>Taking LCM of 1 and 3 is 3 6/1 = 6 × 3 / 1 × 3 = 18/3 </li>

104 <ul><li>Taking LCM of 1 and 3 is 3 6/1 = 6 × 3 / 1 × 3 = 18/3 </li>

106 <li>Adding 18/3 and 2/3 18/3 + 2/3 = 20/3 </li>

105 <li>Adding 18/3 and 2/3 18/3 + 2/3 = 20/3 </li>

107 <li>Since, 20/3 ≠ 8</li>

106 <li>Since, 20/3 ≠ 8</li>

108 </ul><p>6 + 2/3 ≠ 8 is correct.</p>

107 </ul><p>6 + 2/3 ≠ 8 is correct.</p>

109 <p>Well explained 👍</p>

108 <p>Well explained 👍</p>

110 <h3>Problem 5</h3>

109 <h3>Problem 5</h3>

111 <p>There are 40 and 35 chocolates in each of the two boxes. Can we say the number of chocolates in both boxes is not the same?</p>

110 <p>There are 40 and 35 chocolates in each of the two boxes. Can we say the number of chocolates in both boxes is not the same?</p>

112 <p>Okay, lets begin</p>

111 <p>Okay, lets begin</p>

113 <p>Yes, the number of chocolates in both boxes is not equal.</p>

112 <p>Yes, the number of chocolates in both boxes is not equal.</p>

114 <h3>Explanation</h3>

113 <h3>Explanation</h3>

115 <p>Yes, 40 ≠ 35</p>

114 <p>Yes, 40 ≠ 35</p>

116 <p>So, the number of chocolates is not equal.</p>

115 <p>So, the number of chocolates is not equal.</p>

117 <p>Well explained 👍</p>

116 <p>Well explained 👍</p>

118 <h2>FAQs on Not Equal</h2>

117 <h2>FAQs on Not Equal</h2>

119 <h3>1.How to explain “not equal” symbol (≠) to my child?</h3>

118 <h3>1.How to explain “not equal” symbol (≠) to my child?</h3>

120 <p>The "not equal" symbol indicates a difference between two values or quantities. It shows that the values on either side of the symbol are not the same. Give your child 2 chocolate cookies and 3 Oreo cookies. </p>

119 <p>The "not equal" symbol indicates a difference between two values or quantities. It shows that the values on either side of the symbol are not the same. Give your child 2 chocolate cookies and 3 Oreo cookies. </p>

121 <p>Here, 2 ≠ 3.</p>

120 <p>Here, 2 ≠ 3.</p>

122 <h3>2.How to explain that 5 is not equal to 8 to my child?</h3>

121 <h3>2.How to explain that 5 is not equal to 8 to my child?</h3>

123 <p>Use real life objects like toys, food or<a>money</a>to help visualize<a>numbers</a>. Give your child $5 and ask to buy an $8 item. Now, explain why they were not able to buy the item, because $5 ≠ $8.</p>

122 <p>Use real life objects like toys, food or<a>money</a>to help visualize<a>numbers</a>. Give your child $5 and ask to buy an $8 item. Now, explain why they were not able to buy the item, because $5 ≠ $8.</p>

124 <h3>3.Can my child use "≠" in equations?</h3>

123 <h3>3.Can my child use "≠" in equations?</h3>

125 <p>Yes, ≠ symbol can be used to show that the two sides of an equation differ. For example, 10 + 5 ≠ 2 + 5</p>

124 <p>Yes, ≠ symbol can be used to show that the two sides of an equation differ. For example, 10 + 5 ≠ 2 + 5</p>

126 <h3>4.Is it necessary for my child to understand not equal?</h3>

125 <h3>4.Is it necessary for my child to understand not equal?</h3>

127 <p>Yes, learning not equal helps children to develop relational understandings in<a>mathematics</a>.</p>

126 <p>Yes, learning not equal helps children to develop relational understandings in<a>mathematics</a>.</p>

128 <h3>5.How can my child write that 10 is not equal to 18 using the symbol.</h3>

127 <h3>5.How can my child write that 10 is not equal to 18 using the symbol.</h3>

129 <p>Children can write 10 is not equal to 18 using the not equal to sign as 10 ≠ 18.</p>

128 <p>Children can write 10 is not equal to 18 using the not equal to sign as 10 ≠ 18.</p>

130 <h3>6.What does the does not equal sign (≠) mean for parents helping their children at home?</h3>

129 <h3>6.What does the does not equal sign (≠) mean for parents helping their children at home?</h3>

131 <p>The does not equal sign is shows that the two values being compared are different. When children use the not equal sign, they<a>mean</a>the number on the left is not equal to the one on the right. </p>

130 <p>The does not equal sign is shows that the two values being compared are different. When children use the not equal sign, they<a>mean</a>the number on the left is not equal to the one on the right. </p>

132 <h3>7.How can parents easily explain the not equal sign to children?</h3>

131 <h3>7.How can parents easily explain the not equal sign to children?</h3>

133 <p>Parents can use real objects to make the idea clear. For example, “3 apples ≠ 1 apple” or “2 toys ≠ 5 toys.” When children see the difference between real things, they understand the concept faster. </p>

132 <p>Parents can use real objects to make the idea clear. For example, “3 apples ≠ 1 apple” or “2 toys ≠ 5 toys.” When children see the difference between real things, they understand the concept faster. </p>

134 <h3>8.Can parents show the difference between the not equal sign (≠) and the less than or equal to sign (≤)?</h3>

133 <h3>8.Can parents show the difference between the not equal sign (≠) and the less than or equal to sign (≤)?</h3>

135 <p>Yes, parents can explain that the less-than-or-equal-to sign means the value is smaller or the same, while the does-not-equal sign shows that two values are different and cannot be equal. </p>

134 <p>Yes, parents can explain that the less-than-or-equal-to sign means the value is smaller or the same, while the does-not-equal sign shows that two values are different and cannot be equal. </p>

136 <h3>9.How can parents help children practice the not equal sign at home?</h3>

135 <h3>9.How can parents help children practice the not equal sign at home?</h3>

137 <p>Parents can give simple true-or-false statements in a style like “6 + 1 = 10” and ask children to correct them using the does not equal sign. This may help children to learn in a fun and easy way.</p>

136 <p>Parents can give simple true-or-false statements in a style like “6 + 1 = 10” and ask children to correct them using the does not equal sign. This may help children to learn in a fun and easy way.</p>

138 <h2>Hiralee Lalitkumar Makwana</h2>

137 <h2>Hiralee Lalitkumar Makwana</h2>

139 <h3>About the Author</h3>

138 <h3>About the Author</h3>

140 <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>

139 <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>

141 <h3>Fun Fact</h3>

140 <h3>Fun Fact</h3>

142 <p>: She loves to read number jokes and games.</p>

141 <p>: She loves to read number jokes and games.</p>