Subtractionmeans taking things away from a group. We can subtract the integers using the number line. Add a positive integer by moving to the right on number line Or when we take away a given number of objects from a given collection of objects is Subtraction.

It is represented by the ‘-’ sign.

We cannot subtract greater number from smaller number.

**Difference** : - When number is subtracted from another number, the answer is called
difference.

This can be written in different ways:

- 5 take away 2 is 3
- 5 - 2 equals 3
- 5 - 2 = 3

Here the number or digit 5 and 2 are called Operands

The minus or "-" is called operator.

whereas the number 3 is the diference.

Another Example same way, 7 - 3 = 4 operand are 7, 3 and difference is 4.

If there are 5 - 2 chocolates,

Take away two chocolates from five chocolates.

We will get **5 - 2 = 3** chocolates

8 - 2

8 apples minus 2 apples leave 6 apples.

8 - 2 = 6

Arrange the subtraction vertically.

First subtract 5 units from 9 units.

9U - 5U= 4U

Write 4 in the units place of difference.

Write 8 in the tens place and 5 in the hundreds place.

589 - 5= 584

Arrange the subtraction vertically.

First subtract 5 units from 9 units.

9U - 5U = 4U

5 T + 1 T = 6 T

Write 4 in the units place of difference.

Subtract 3 tens from 7 tens.

7T - 3T = 4T

Write 4 in the tens place and 8 in the hundreds place.

**879 - 35 = 844**

Arrange the subtraction vertically.

We cannot subtract 9 units from 8 units.

Hence, we take one of the tens from 5 tens and unite it into units.

We carry over 1T to the next column.

1T = 10U

10U + 8U = 18U

Strike out the 5 in the tens place. Write 4 above it.

Strike out the 8 in the unit place. Write 18 above it.

18U - 9U = 9U

Write 9 in the units place in the difference.

Write 4 in the tens place and 2 in the hundreds place.

**258 - 9 = 249**

Arrange the subtraction vertically.

We cannot subtract 7 units from 6 units.

Hence, we take one of the tens from 8 tens and unite it into units.

1T = 10U

10U + 6U = 16U

Strike out the 8 in the tens place. Write 7 above it.

Strike out the 6 in the unit place. Write 16 above it.

16U - 7U = 9U

Write 9 in the units place in the difference.

We cannot subtract 9 tens from 7 tens.

Hence, we take one of the hundreds from 7 hundreds and unite it into tens.

1H = 10T

10T + 7T = 17T

Strike out the 7 in the hundreds place. Write 6 above it.

Strike out the 7 in the tens place. Write 17 above it.

17T - 9T = 8T

Write 8 in the tens place in the difference.

Subtract 4H from 6H.

6H - 4H = 2H

Write 2 in the hundreds place.

**786- 497= 289**

Sophia got 900 marks in the final exam. Lisa got 736 marks in the final exam.
How many more marks did Sophia get than Lisa?

Sophia got 164 more marks than Lisa.

To find How many more marks did Sophia get than Lisa subtract

smaller number from greater number.

**Find 900 - 736**

Arrange the subtraction vertically.

We cannot subtract 6 units from 0 units. And cannot subtract 3 tens from 0 tens.

Hence, we take one of the hundreds from 9 hundreds and unite it into tens. And we
take one of the tens from 10 tens and unite it into units.

1H = 10T

10T + 0T = 10T

1T = 10U

10U + 0U = 10U

Strike out the 9 in the hundreds place. Write 8 above it.

Strike out the 0 in the tens place. Write 10 above it.

Strike out the 10 in the tens place. Write 9 above it.

Strike out the 0 in the unit place. Write 10 above it.

10U - 6U = 4U

**Write 4 in the units place in the difference.**

9T - 3T = 6T

**Write 6 in the tens place in the difference.**

Subtract 7H from 8H.

8H - 7H = 1H

**Write 1 in the hundreds place. **

**900 - 736= 164**

**Sophia got 164 more marks than Lisa.**

A number fact that is made of three numbers called fact family.

- 7 - 4 = 3
- We can also write as 7-3=4 and 3+4=7
- So that 3,4 and 7 are called the members of fact family.

If we arrange these numbers in ascending order: 6<9<15

Now we will say 6+9 it is 15. **6+9=15**

Now if we subtract any smaller number 6 or 9 from the greater number 15.

**15 - 9 = 6 and 15 - 6 = 9**

Hence we will get the alternate number from 6 or 9.

**Hence, it is proved that 6, 9 and 15 make fact family.**

If we subtract 0 from the number the result will be as it is i.e

same number.

Let us say a girl has five flowers. She gives no flowers to anyone.

A girl has 5 flowers.

We take away 0 from 5 flowers.

So that the number of flowers with her now is same as before.

**So that 5 - 0 = 5**

**We cannot take away any number from 0.**

- We should always start to subtract the numbers from unit place of the given number.
- To subtract the bigger number from smaller number we have to borrow 10 from next unit.

- If you spent Rs.50 from Rs.600 how many will remain with you?
- What is the subtraction fact family for 35 - 10 = 25
- What is the difference between 888 and 199?
- When you subtract, do you get more or fewer objects than the number of object you started with?
- What happens to the result when we change the order of the operands?
- Do you have to count to subtract 0 to any number?

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