Addition and Subtraction

**Category : **3rd Class

**Addition and Subtraction**

**Concept of Zero:**

- Zero added to any number is equal to the number itself.

Example: 243 + 0 = 243

**Addition:**

- While adding, if we change the order of the numbers, the result will be the same.
- Addition of 3-digit numbers is done by arranging the digits of ones, tens and hundreds in their proper place.
- First we add ones, then tens and then hundreds.

Addition of 3-digit numbers without carrying:

Example: Add 376 and 213

**Solution:**

__Step- 1:__ Arrange the numbers according to their proper place values.

__Step-2__: Add the ONES first, then the TENs and finally the HUNDREDS.

**Addition of3-digit numbers with carrying :**

**Example: **Add 498 and 376

**Solution:**

__Step-1:__ Arrange the digits of the numerals in proper places.

- Step -2: Add ones

8+6=14

14 ones = 1 ten + 4 ones

1 ten is carried to tens column. 4 is written in ones place.

Step - 3: Add tens

1 + 9 + 7 = 17

17 tens = I hundred + 7 tens

1 hundred is carried to hundreds column.

7 is written in tens place.

__Step - 4:__ Add Hundreds

1+4+3=8

8 is written in Hundreds place.

**Subtraction:**

- Zero subtracted from any number is equal to the number itself.
- First we subtract ones, then tens and then hundreds.

Subtraction of3-digitnumbers without borrowing:

Ex: Subtract 652 from 956

__Step - 1:__ Arrange the numbers according to their proper place values.

__Step-2:__ Subtract ONES first, then the TENS and finally the HUNDREDS.

**Subtraction of 3 - digit numbers with borrowing**:

Ex : Subtract 652 from 831.

__Step-1__**:** Arrange the numbers according to their proper place values.

__Step - 2:__ Subtract ONES

1 – 2 = ?

We can't subtract 2 from 1.

3 tens become 2 tens.

Subtract, 11 - 2 = 9

Borrow 1 ten from 3 tens.

1 one become 10 + 1 = 11 ones

Write 9 in ones place

__Step - 3__: Subtract TENS

We can't subtract "5 from 2.

8 hundreds become 7 hundreds.

Borrow 1 hundred

2 tens become 10 + 2 = 12 tens.

from 8 hundreds.

Subtract, 12 - 5 = 7 Write 7 in tens place

__Step - 4:__Subtract HUNDREDS

7-6=1

So we write 1 in place of hundreds.

Thus we get 831 - 652 =

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