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Equal Sign: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Equal SignEqual Sign: Definition and ExampleTable of ContentsDefinition of Equal Sign

The equal sign is a mathematical symbol represented by two parallel horizontal lines (===) that shows equality between two expressions or values. It indicates that the expression on the left side of the sign has exactly the same value as the expression on the right side. For example, in the equation 2+2=42 + 2 = 42+2=4, the equal sign tells us that the sum of 222 and 222 is equivalent to 444. This fundamental symbol was introduced by Welsh mathematician Robert Recorde in 1557, along with bringing the plus sign (+++) into English mathematical notation.

The equal sign appears in various mathematical contexts with different adaptations. In equations, it establishes equality between the left-hand side (LHS) and right-hand side (RHS) expressions. In measurements, it indicates the precise quantity of an object, such as when expressing that a spoon's length equals 16 cm. With fractions, the equal sign shows equivalent values, like 15=210\frac{1}{5} = \frac{2}{10}51​=102​. There are also variations of the equal sign: the triple line symbol (≡≡≡) indicates identity rather than just equality, while the equal sign with a slash (≠\neq=) represents inequality between expressions.

Examples of Equal Sign Usage Example 1: Representing a Product Using the Equal Sign Problem:

The product of two numbers aaa and bbb is exactly 121212. How can you represent it mathematically?

Step-by-step solution: Step 1, understand what "product" means in mathematics. The product refers to the result of multiplying two numbers together. Step 2, identify the two numbers in the problem. They are represented by the variables aaa and bbb. Step 3, express the relationship mathematically. When we say "the product of a and b is exactly 121212", we mean that multiplying aaa and bbb gives us 121212. Step 4, write this using the equal sign: ab=12ab = 12ab=12. This equation states that the product of aaa and bbb equals 121212. Example 2: Solving an Equation with Equal Sign Problem:

What is the value of yyy if 3y+7=283y+7=283y+7=28?

Step-by-step solution: Step 1, recognize that we need to isolate the variable yyy to find its value. Step 2, subtract 777 from both sides of the equation to keep it balanced: 3y+7=283y+7=283y+7=28 3y+7−7=28−73y+7-7=28-73y+7−7=28−7 (subtracting 777 from both sides) 3y=213y=213y=21 Step 3, to isolate yyy, divide both sides by 333: 3y=213y=213y=21 3y3=213\frac{3y}{3}=\frac{21}{3}33y​=321​ (dividing both sides by 333) y=7y=7y=7 Step 4, verify your answer by substituting y=7y = 7y=7 back into the original equation: 3(7)+7=21+7=283(7)+7 = 21+7 = 283(7)+7=21+7=28 ✓ Example 3: Translating an Equal Sign Equation into Words Problem:

How would you write that xy−3=10xy-3=10xy−3=10 in words?

Step-by-step solution: Step 1, identify each part of the equation: xyxyxy represents the product of xxx and yyy, and we're subtracting 333 from this product. Step 2, understand what the equal sign is telling us: the result of this calculation equals 101010. Step 3, translate each mathematical operation into words: xyxyxy is "the product of xxx and yyy" xy−3xy - 3xy−3 is "the product of xxx and yyy minus 333" =10= 10=10 is "is equal to 101010" Step 4, combine these phrases to form a complete sentence: "The difference of the product of xxx and yyy and 333 is equal to 101010." Comments(6)MCMs. CarterSeptember 17, 2025Loved how simple and clear the definition is! I used the examples to help my kids understand equations, and it really clicked for them. Great resource for parents and teachers!

MCMs. CarterSeptember 10, 2025I’ve been using this glossary page to help my kids understand the equal sign better—it’s clear and the examples really make it easy for them to grasp the concept. Great resource!

MCMs. CarterAugust 27, 2025Loved the clear definition and examples of the equal sign! I used this with my 4th grader, and it really helped them understand equations better. It’s so great for visual learners too!

MMomOf3AdventuresAugust 19, 2025I’ve been helping my kids with math, and this page made explaining the equal sign so much easier! The examples were super clear and helped them grasp the concept quickly.

MMathTeacherMomAugust 5, 2025I’ve used this definition to explain the equal sign during algebra lessons—it’s so clear! The examples helped my students grasp equations faster. Great resource for teachers!

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