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

In mathematics, equal means that two values, expressions, or quantities have exactly the same value. When we write the equal sign (=) between two things, we are saying they are the same amount or value, just written in different ways. For example, 5 = 5 or 2 + 3 = 5 shows that both sides have the same value. The equal sign is like a balance scale that shows both sides have the same weight.

Understanding equality is a very important math idea. Two things that are equal might look different, but they have the same value. For example, 12\frac{1}{2}21​ equals 0.5, and 3 + 4 equals 7. They are different ways to write the same amount. When we solve math problems, we often look for values that make both sides of an equation equal. In real life, we use the idea of equal to make fair shares, compare prices, measure ingredients in cooking, and many other everyday activities.

Examples of Equal Example 1: Understanding Basic Equality Problem:

Determine if these statements are true or false:

a) 8 = 8 b) 3 + 5 = 7 + 1 c) 12 - 4 = 9 Step-by-step solution:

Step 1, For each statement, we need to check if the values on both sides are the same.

Step 2, Let's look at the first statement: 8 = 8

The left side is 8. The right side is 8. Since 8 and 8 are exactly the same value, this statement is true.

Step 3, Now let's check the second statement: 3 + 5 = 7 + 1

The left side is 3 + 5, which equals 8. The right side is 7 + 1, which equals 8. Since both sides equal 8, this statement is true.

Step 4, Finally, let's check the third statement: 12 - 4 = 9

The left side is 12 - 4, which equals 8. The right side is 9. Since 8 is not equal to 9, this statement is false.

Step 5, So our results are:

a) True b) True c) False Example 2: Finding the Missing Number to Make Equations Equal Problem:

Find the missing number in each equation:

a) 5 + _ = 12 b) 15 - _ = 8 c) 3 × _ = 24 Step-by-step solution:

Step 1, For each equation, we need to find what value makes both sides equal.

Step 2, Let's solve the first equation: 5 + _ = 12

We need to find what number, when added to 5, gives us 12. We can think: 5 plus what equals 12? Or we can subtract: 12 - 5 = 7 So the missing number is 7.

Step 3, Now let's solve the second equation: 15 - _ = 8

We need to find what number, when subtracted from 15, gives us 8. We can think: 15 minus what equals 8? Or we can subtract: 15 - 8 = 7 So the missing number is 7.

Step 4, Finally, let's solve the third equation: 3 × _ = 24

We need to find what number, when multiplied by 3, gives us 24. We can think: 3 times what equals 24? Or we can divide: 24 ÷ 3 = 8 So the missing number is 8.

Step 5, Our answers are:

a) 7 b) 7 c) 8 Example 3: Using Equal Parts in Fractions Problem:

James needs to share 12 cookies equally among 4 friends. How many cookies will each friend get? How can we write this as a fraction of the whole?

Step-by-step solution:

Step 1, To find how many cookies each friend gets, we need to divide the total number of cookies by the number of friends. 12 cookies ÷ 4 friends = 3 cookies per friend

Step 2, Now, let's think about the fraction of the whole. The whole amount is 12 cookies.

Step 3, Each friend gets 3 cookies out of 12 total. This can be written as the fraction 312\frac{3}{12}123​.

Step 4, We can simplify this fraction. Both 3 and 12 can be divided by 3.

3 ÷ 3 = 1 12 ÷ 3 = 4 So 312\frac{3}{12}123​ = 14\frac{1}{4}41​

Step 5, Each friend gets 3 cookies, which is 14\frac{1}{4}41​ (one-fourth) of all the cookies.

Comments(4)CCoachNickNovember 5, 2025I've used this 'equal' definition to teach my students. It's super clear and really helped them grasp the concept. Thanks!

PPoetMonaNovember 4, 2025I've used this 'equal' definition with my students. It's clear and helped them grasp the concept, especially with real - world examples like areas.

LLandscaperPennyNovember 4, 2025I've used this 'equal' def to teach my kid. It's clear and examples helped them grasp the concept. Great resource!

NNatureExplorer88September 17, 2025I’ve used the definition and examples from this page to explain ‘equal’ to my kids during homework time. The clear explanation and practical examples made it so much easier for them to grasp the concept!

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