# Number Bonds – Definition with Examples

Created on Dec 28, 2023

Updated on January 11, 2024

At Brighterly, we believe that every child has the potential to excel in math. One of the most important concepts we introduce early on is number bonds. Number bonds are pairs of numbers that, when added together, form a specific number. By understanding number bonds, children can develop mental arithmetic skills, fostering confidence and efficiency in their mathematical abilities.

Number bonds are the building blocks of basic arithmetic operations, laying the foundation for more advanced math topics. By incorporating fun and interactive activities, Brighterly ensures that children learn number bonds in an enjoyable and engaging manner. We believe that understanding number bonds is essential for a strong foundation in math, and our comprehensive learning resources help children grasp this concept with ease.

## Number Bond: Introduction

Number bonds are one of the most fundamental concepts in primary math education. They are pairs of numbers that combine to form a certain number. The term “number bond” is a simple way to describe the relationship between addition and subtraction. Essentially, they form the building blocks of basic arithmetic operations, laying the groundwork for developing advanced math skills later in life.

Learning number bonds helps children to better understand the concept of numbers and their relationships. By understanding number bonds, kids develop mental arithmetic skills, which boost their confidence and efficiency in math. For instance, if a child knows that 2 and 3 make 5 (2+3=5), they automatically know that 5-2=3 and 5-3=2. Number bonds essentially facilitate quick mental calculations and make arithmetic easier and fun for children.

## What Are Number Bonds?

Number bonds are simply the whole-part relationship between numbers. It’s a way of expressing a number as the sum of two or more other numbers. For example, the number bonds for the number 5 can be 0 and 5, 1 and 4, 2 and 3, and so on. Each of these pairs add up to 5, hence they are known as the number bonds of 5.

Number bonds can be visualized through diagrams or bar models which help children to visualize the part-whole relationship of numbers. For instance, a bar model showing the number bond of 5 could be divided into two sections. One section could represent the number 2 and the other section could represent the number 3, showing clearly that 2 and 3 come together to form 5.

## Number Bonds of 5

The number bonds of 5 are pairs of numbers that, when added together, total 5. These include the pairs (0, 5), (1, 4), (2, 3), (3, 2), (4, 1), and (5, 0). It’s important for children to understand these number bonds as they form the basis for more advanced calculations.

For example, knowing the number bonds of 5 can help children solve problems such as 5+?=10, as they can quickly recognize that 5 and 5 make 10. This understanding of number bonds can also assist in multiplication and division, and can significantly speed up mental calculations.

## Number Bonds of 10

The number bonds of 10 are pairs of numbers that, when added together, total 10. These include the pairs (0, 10), (1, 9), (2, 8), (3, 7), (4, 6), (5, 5), (6, 4), (7, 3), (8, 2), (9, 1), and (10, 0). These bonds are particularly significant because the number 10 plays a central role in our base-10 number system.

Knowing the number bonds of 10 is a critical skill that enables children to perform addition and subtraction more quickly and accurately. This skill also lays the groundwork for understanding place value, multiplication, and division.

## Number Bonds of 20

Number bonds of 20 are pairs of numbers that add up to 20. These include the pairs (0, 20), (1, 19), (2, 18), (3, 17), (4, 16), (5, 15), (6, 14), (7, 13), (8, 12), (9, 11), (10, 10), (11, 9), (12, 8), (13, 7), (14, 6), (15, 5), (16, 4), (17, 3), (18, 2), (19, 1), and (20, 0). Understanding the number bonds of 20 helps to further enhance children’s mental math skills.

For instance, if a child needs to subtract 8 from 20, they can easily recall that 8 and 12 are number bonds of 20, making the subtraction process much quicker and easier. This skill extends to real-life applications like handling money or calculating time.

## Number Bonds: Addition

Number bonds are a crucial part of understanding addition. They help children visualize and perform addition operations more quickly and intuitively. For example, if children are familiar with the number bond of 10, they will quickly know that 6 + 4 equals 10 without having to count on their fingers.

Moreover, understanding number bonds can help children when they start learning about carrying in addition. For example, if a child knows the number bonds of 9 (1 and 8, 2 and 7, 3 and 6, 4 and 5), they can easily solve a problem like 9 + 5 by realizing that 1 from the 5 can be added to 9 to make 10, and then adding the remaining 4 to get 14.

## Number Bonds: Subtraction

Just as number bonds are vital for understanding addition, they are equally significant for subtraction. Knowing number bonds helps children to visualize subtraction operations and perform them more quickly. If a child knows that 7 and 3 are number bonds of 10, then they can quickly determine that 10 – 7 equals 3 without having to count.

Furthermore, number bonds assist with the concept of borrowing in subtraction. If a child understands that 13 is made of 10 and 3, then they can simplify a problem like 13 – 4 by subtracting 3 first and then subtracting 1 from the remaining 10.

## Number Bonds: Division

While number bonds are typically introduced in the context of addition and subtraction, they can also be applied to multiplication and division. In the case of division, number bonds can be used to understand the inverse relationship between multiplication and division.

For instance, if children know the number bond of 12 as 3 and 4 (because 3 times 4 equals 12), they can quickly figure out that 12 divided by 3 is 4, or that 12 divided by 4 is 3. This comprehension helps children to perform division operations faster and with more confidence.

## Benefits of Number Bonds

Number bonds offer multiple benefits. They help children understand the relationship between numbers, which is crucial for their overall math comprehension. Number bonds make arithmetic more intuitive, as they promote understanding over rote memorization.

They also form the foundation for more advanced math topics, such as fractions, decimals, and algebra. Additionally, number bonds can help to enhance problem-solving skills, as they encourage mental math and strategic thinking.

## Solved Examples on Number Bonds

Let’s look at a few examples to better understand how number bonds work:

**Addition:**If we know the number bond of 8 is (5, 3), then we can easily solve 5 + ? = 8, where ? is 3.**Subtraction:**If we know the number bond of 10 is (7, 3), then we can quickly solve 10 – 7 = ?, where ? is 3.**Division:**If we know the number bond of 20 is (5, 4) because 5 times 4 equals 20, then we can quickly solve 20 ÷ 5 = ?, where ? is 4.

## Practice Problems on Number Bonds

Here are a few practice problems to test your understanding of number bonds:

- Find the missing number: 6 + ? = 10
- Solve the subtraction problem using number bonds: 10 – 4 = ?
- Solve the division problem using number bonds: 24 ÷ 6 = ?

Are you ready to delve into the world of number bonds and strengthen your mathematical abilities? Look no further than Brighterly’s Number Bonds Worksheet. With our comprehensive resources and interactive approach, you’ll gain a solid foundation in number bonds and develop essential mental arithmetic skills.

## Conclusion

Number bonds are an integral part of a child’s mathematical journey. At Brighterly, we are committed to helping children develop strong mental arithmetic skills and an intuitive understanding of the relationships between numbers. Our unique teaching methods and engaging activities ensure that children enjoy learning about number bonds, making it an enjoyable and memorable experience.

As children progress through their math education, the understanding of number bonds will serve as a stepping stone to more advanced math topics, such as fractions, decimals, and algebra. We believe that a strong foundation in number bonds is crucial for success in math, and we are dedicated to providing the necessary tools and resources to help children excel.

At Brighterly, we strive to make math a fun and rewarding experience for every child. By focusing on fundamental concepts like number bonds, we help children develop confidence in their mathematical abilities and foster a lifelong love for learning. Together, we can unlock the full potential of every child and pave the way for a brighter future in mathematics.

## Frequently Asked Questions on Number Bonds

**What is a number bond?**

A number bond is a powerful mathematical concept that demonstrates the relationship between two numbers that add up to form a specific number. It’s a visual and conceptual representation of how numbers can be split into different parts, while still retaining their original value. In a broader sense, a number bond goes beyond being a mere addition fact. It represents the idea that a whole number can be broken down into parts and those parts can be reassembled to create the whole. This concept forms the foundation for understanding addition and subtraction, and later on, multiplication and division.

**How do number bonds help in learning math?**

Number bonds play a crucial role in learning math, particularly in building a child’s number sense. Understanding number bonds allows children to see the relationship and interplay between numbers. This understanding is fundamental to developing mental arithmetic skills and promoting numerical fluency.

When children understand how numbers break down and come together through number bonds, they can perform calculations more easily and quickly. They can also apply this understanding to more complex mathematical problems. For instance, knowing the number bonds of 10 (such as 1 and 9, 2 and 8, 3 and 7, etc.) can help solve problems like 14 + 9 by breaking 9 into 1 and 8, then adding 14 + 1 to make 15, and finally adding the remaining 8 to get 23.

**What are the number bonds of 10?**

The number bonds of 10 are pairs of numbers that, when added together, total 10. These include (0, 10), (1, 9), (2, 8), (3, 7), (4, 6), (5, 5), (6, 4), (7, 3), (8, 2), (9, 1), and (10, 0). It’s important to note that these number bonds are not just random pairs of numbers. They hold significance in our base-10 number system, which underpins almost all mathematical operations.

Understanding the number bonds of 10 lays a vital foundation for the development of addition and subtraction skills, as well as an understanding of place value. In more advanced topics, these number bonds continue to play a role, such as in understanding decimals, percentages, and even algebra.