Solve Problems on Number Bonds

Solve Problems on Number Bonds

Number bond is a mathematical concept used to help young children understand the relationships between numbers and their parts. It describes the relationship between a number and the combinations of smaller numbers that make it up.

For example, the number bond for 7 could be represented as 7 = 3 + 4, showing that 7 can be made up of the combination of 3 and 4. Number bonds are a visual representation that can help children understand basic addition and subtraction concepts and build a foundation for more advanced mathematical thinking.

Examples on Number Bonds

Example 1: 8 + 4 = 12
Solution: 8 and 4 are the two numbers, and 12 is the third number that represents the sum of 8 and 4.

Example 2: 10 - 6 = 4
Solution: 10 and 6 are the two numbers, and 4 is the third number that represents the difference between 10 and 6.

Problem 3: 6 x 3 = 18
Solution: 6 and 3 are the two numbers, and 18 is the third number that represents the product of 6 and 3.

Solve Problems on Number Bonds up to 100

Number bonds up to 100 are pairs of numbers that add up to give the sum as 100.

For example, 25 and 75 are a number bond for 100, because 25 + 75 = 100.

Some other number bonds for 100 are:

i) 50 and 50
ii) 40 and 60
iii) 30 and 70
iv) 20 and 80
v) 10 and 90

Solve Problems on Number Bonds up to 1000

Number bonds up to 1000 are pairs of numbers that add up to give the sum as 1000.

For example, 250 and 750 are a number bond for 1000, because 250 + 750 = 1000.

Some other number bonds for 1000 are:

i) 500 and 500
ii) 400 and 600
iii) 300 and 700
iv) 200 and 800
v) 100 and 900

Number bonds can help us with addition, subtraction and division.

Addition Number Bonds

Number bonds are relationships between numbers that show how they can be combined to make a whole. In addition, number bonds show how two or more numbers add up to a certain sum.

For example, a number bond for the number 7 would look like this:

i) 7 = 1 + 6
ii) 7 = 2 + 5
iii) 7 = 3 + 4
iv) 7 = 7 + 0

These number bonds show that 7 can be made up of different combinations of numbers, such as 1 and 6, 2 and 5, 3 and 4 or just 7 by itself.
This concept is useful for helping young children understand addition and how numbers can be combined to make different sums.

Subtraction Number Bonds

Subtraction number bonds are pairs of numbers that when subtracted from each other, equals a certain number.

For example, the number bond of 10 is (10, 0), (11, 1), (12, 2), and so on.

i) 10 – 0 = 10
ii) 11 – 1 = 10
iii) 12 – 2 = 10
iv) 13 – 3 = 10

These number bonds help in understanding subtraction by breaking down the problem into smaller parts and finding the relationship between the numbers.
Number bonds also help visualise subtraction and make it easier to perform mentally.

Multiplication Number Bonds

Number bonds in multiplication refer to the pairs of numbers that can be multiplied together to get a third number.

For example, if you multiply 2 and 3, you get 6. So, 2 and 3 are number bonds for 6. Generally, for any number n, the number bonds for n are all the pairs of numbers that can be multiplied to get n.

Here are some examples of number bonds for some common numbers:

i) 6: (1 x 6), (2 x 3)
ii) 9: (1 x 9), (3 x 3)
iii) 12: (1 x 12), (2 x 6), (3 x 4)
iv) 16: (1 x 16), (2 x 8), (4 x 4)

Division Number Bonds

Division number bonds are pairs of numbers that, when divided, equals a given number.

For example, if you have the number 8, the division number bonds would be:

i) 16 ÷ 2 = 8
ii) 24 ÷ 3 = 8
iii) 32 ÷ 4 = 8
iv) 64 ÷ 8 = 8

These division number bonds can be useful in helping students understand division as an inverse operation of multiplication, as well as helping with problem-solving and memorizing division facts.

Solve Problems on Number Bonds

Number bonds are a mathematical concept used to help young children understand the relationships between numbers and their parts. They describe the relationships between a number and the combinations of smaller numbers that make it up.

For example, the number bond for 7 could be represented as 7 = 3 + 4, showing that 7 can be made up of the combination of 3 and 4. Number bonds are a visual representation that can help children understand basic addition and subtraction concepts and build a foundation for more advanced mathematical thinking.

Examples on Number Bonds

Example 1: 8 + 4 = 12
Solution: 8 and 4 are the two numbers, and 12 is the third number that represents the sum of 8 and 4.

Example 2: 10 - 6 = 4
Solution: 10 and 6 are the two numbers, and 4 is the third number that represents the difference between 10 and 6.

Problem 3: 6 x 3 = 18
Solution: 6 and 3 are the two numbers, and 18 is the third number that represents the product of 6 and 3.

Solve Problems on Number Bonds up to 100

Number bonds up to 100 are pairs of numbers that add up to give the sum as 100.

For example, 25 and 75 are a number bond for 100, because 25 + 75 = 100.

Some other number bonds for 100 are:

i) 50 and 50
ii) 40 and 60
iii) 30 and 70
iv) 20 and 80
v) 10 and 90

Solve Problems on Number Bonds up to 1000

Number bonds up to 1000 are pairs of numbers that add up to give the sum as 1000.

For example, 250 and 750 are a number bond for 1000, because 250 + 750 = 1000.

Some other number bonds for 1000 are:

i) 500 and 500
ii) 400 and 600
iii) 300 and 700
iv) 200 and 800
v) 100 and 900

Number bonds can help us with addition, subtraction and division.

Addition Number Bonds

Number bonds are relationships between numbers that show how they can be combined to make a whole. In addition, number bonds show how two or more numbers add up to a certain sum.

For example, a number bond for the number 7 would look like this:

i) 7 = 1 + 6
ii) 7 = 2 + 5
iii) 7 = 3 + 4
iv) 7 = 7 + 0

These number bonds show that 7 can be made up of different combinations of numbers, such as 1 and 6, 2 and 5, 3 and 4 or just 7 by itself.
This concept is useful for helping young children understand addition and how numbers can be combined to make different sums.

Subtraction Number Bonds

Subtraction number bonds are pairs of numbers that when subtracted from each other, equal a certain number.

For example, the number bond of 10 is (10, 0), (11, 1), (12, 2), and so on.

i) 10 – 0 = 10
ii) 11 – 1 = 10
iii) 12 – 2 = 10
iv) 13 – 3 = 10

These number bonds help in understanding subtraction by breaking down the problem into smaller parts and finding the relationship between the numbers.
Number bonds also help visualise subtraction and make it easier to perform mentally.

Multiplication Number Bonds

Number bonds in multiplication refer to the pairs of numbers that can be multiplied together to get a third number.

For example, if you multiply 2 and 3, you get 6. So, 2 and 3 are number bonds for 6. Generally, for any number n, the number bonds for n are all the pairs of numbers that can be multiplied to get n.

Here are some examples of number bonds for some common numbers:

i) 6: (1 x 6), (2 x 3)
ii) 9: (1 x 9), (3 x 3)
iii) 12: (1 x 12), (2 x 6), (3 x 4)
iv) 16: (1 x 16), (2 x 8), (4 x 4)

Division Number Bonds

Division number bonds are pairs of numbers that, when divided, equal a given number.

For example, if you have the number 8, the division number bonds would be:

i) 16 ÷ 2 = 8
ii) 24 ÷ 3 = 8
iii) 32 ÷ 4 = 8
iv) 64 ÷ 8 = 8

These division number bonds can be useful in helping students understand division as an inverse operation of multiplication, as well as helping with problem-solving and division facts memorization.