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Number Bonds – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Number BondsNumber Bonds – Definition, ExamplesTable of ContentsNumber Bonds: Breaking Down Numbers into Parts Definition of Number Bonds

A number bond is a pair of numbers that add up to give a specific sum. Number bonds show the relationship between two numbers and their sum, visually demonstrating the connection between the parts (the numbers) and the whole (the sum). Using number bonds, you can quickly find answers without needing to calculate each time.

Number bonds come in different forms and can be created for any number. For example, number bonds of 5 include pairs like 0 and 5, 1 and 4, 2 and 3. Similarly, number bonds of 10 include pairs like 0 and 10, 1 and 9, 2 and 8, and so on. These bonds are useful in various mathematical operations including addition, subtraction, and division, making them foundational tools for developing number sense.

Examples of Number Bonds Example 1: Finding the Missing Number in Addition Problem:

Find 13+?=2113 + ? = 2113+?=21.

Step-by-step solution:

Step 1, Think about what number bonds make up the whole number 21. List the possible pairs: 1 and 20, 2 and 19, 3 and 18, 4 and 17, 5 and 16, 6 and 15, 7 and 14, 8 and 13, 9 and 12, 10 and 11.

Step 2, Look for the pair that includes 13. From our list, we can see that 8 and 13 make 21.

Step 3, Fill in the blank with 8. So, 13+8=2113 + 8 = 2113+8=21.

Number bond pairs to make 21

Example 2: Solving a Subtraction Problem Problem:

Determine 16−?=916 − ? = 916−?=9.

Step-by-step solution:

Step 1, Remember that 16 is our whole number in this problem. We need to find what number, when subtracted from 16, gives us 9.

Step 2, List the number bond pairs that make up 16: 1 and 15, 2 and 14, 3 and 13, 4 and 12, 5 and 11, 6 and 10, 7 and 9, 8 and 8.

Step 3, Look for the pair where one part is 9. We can see that 7 and 9 are parts that make 16.

Step 4, Since 9 is one part, the other part must be 7. Therefore, 16−7=916 − 7 = 916−7=9.

Number bond pairs to make 16

Example 3: Using Number Bonds for Division Problem:

Calculate 18÷318\div318÷3.

Step-by-step solution:

Step 1, Understand that 18 is our whole number, and 3 is one part of a pair. In division, we're looking for how many groups of 3 make 18.

Step 2, Think about multiplication to find the other part of the pair. We need to find what number, when multiplied by 3, gives 18.

Step 3, Look at the multiplication table of 3: 3×1=33 \times 1 = 33×1=3, 3×2=63 \times 2 = 63×2=6, 3×3=93 \times 3 = 93×3=9, 3×4=123 \times 4 = 123×4=12, 3×5=153 \times 5 = 153×5=15, 3×6=183 \times 6 = 183×6=18

Step 4, We can see that when 3 and 6 are multiplied, the product is 18. Since division and multiplication are inversely related, 18÷3=618\div3 = 618÷3=6.

Number bond pairs to make 18

Comments(7)DDiverWyattNovember 5, 2025I've used number bonds from this page to help my students. It's a great way to make math concepts easier to grasp!

AActorOscarNovember 4, 2025I've used number bonds from this page to teach my students. It's a great way to make math addition and subtraction easier for them!

NNatureLover89September 17, 2025I’ve been using the number bonds definition and examples from this page to help my kids with their math homework, and it’s made such a difference! Breaking numbers into parts really helped them understand addition and subtraction better.

NNatureExplorerSeptember 10, 2025I’ve been using the number bonds examples from this site to help my kids with addition and subtraction. It’s such a simple concept, but it really clicked for them! Highly recommend for early math learners.

NNatureLover89August 27, 2025I’ve been using the number bonds concept with my 2nd graders, and it’s been a game-changer for teaching addition and subtraction! The examples here made it super easy to explain. Highly recommend!

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