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**Adding Tens**

How to add two-digit numbers (for example 30 + 40).

- First line up the numbers as per the place value (all the tens and the units lined up vertically). Put a line under the last number.
3040- Add the ones' place numbers. (0 + 0 = 0). Write the zero in the ones' place column.
30400- Add the tens' place digits (3 + 4 = 7) and write the answer below the line in the tens' place column.
304070

**Adding Two-Digit Numbers**

How to add two two-digit numbers (for example 54 + 42).

- First line up the numbers as per the place value (all the tens and the units lined up vertically). Put a line under the last number.
5442- Add the numbers in the ones' place digits (4 + 2 = 6).
54426- Add the the tens' place digits(5 + 4 = 9) and write the answer below the line in tens' place column.
544296

**Adding Three One-Digit Numbers**

Adding three numbers (for example 5 + 3 + 9) involves two steps.

- First line up the numbers as per the place value (all the tens and the units lined up vertically). Put a line under the last number.
- Add the first two digits. (5 + 3 = 8). Hold '8' in your mind.
- Add the other digit to this sum. (8 + 9 = 17).

**Adding Hundreds**

How to add three-digit numbers (for example 400 + 300).

- First line up the numbers as per the place value (all the hundreds,tens and the ones lined up vertically). Put a line under the last number.
400300- Add the numbers in the ones' place digits. (0 + 0 = 0) and write the answer below the line in the ones' place column.
4003000- Add the tens' place numbers (0 + 0 = 0) and place the answer below the line and to the tens' place column
40030000- Add the digits in the hundreds' place column (4+ 3 = 7) and write the answer below the line in the hundreds' place column.
400300700

The addition facts for 0, 1 and 2 are in the following table.

ZERO | ||||

0+0=0 | 0+1=1 | 0+2=2 | 0+3=3 | 0+4=4 |

ONE | ||||

1+1=2 | 1+2=3 | 1+3=4 | 1+4=5 | 1+5=6 |

TWO | ||||

2+2=4 | 2+3=5 | 2+4=6 | 2+5=7 | 2+6=8 |

When 0 is added to a second digit the answer is the second digit. (e.g. 0 + 6 = 6)

Adding 1 to any number is like counting up by 1.

Adding 2 to any number is like counting up by 2.

**Mentally Adding Two-Digit Numbers**

How to mentally add two two-digit numbers.

To add 73 and 34

- First add the digits in the ones' place(3 + 4)=7.
- Add digits in the tens' place(7 + 3) = 10.
- If the sum of ones's place numbers is single digit number then write the answer 107.
To add 65 and 87

- First add the digits in the ones' place(5 + 7)=12
- Add digits in the tens' place(6 + 8)=14
- If the sum of ones's place numbers is two-digit number then do the following

- Decrease the sum of ones's place by 10(12-10= 2)
- Increase the sum of tens' place by 1(14 + 1=15)
- Write the sums of tens and ones' place together to get the answer of 152

How to add two two-digit numbers (for example 35 + 78) with paper and pencil.

3578- Add the numbers in the ones' place. (5 + 8 = 13). This sum is a two-digit number so write 1 above the tens' place column and write the 3 below the line in the ones' place column.
1 35783- Add the digits in the tens' place column (1 + 3 + 7 = 11) and write the answer below the line in the tens' place column.
1 3578113

Here are the steps to add two-digit numbers (for example 67 + 89) using calculator

- Type the first number 67 by presing the 6 button and the 7 button
- Press + button
- Type the second number 89 by pressing the 8 button and the 9 button
- Press the = button to get the answer.

**Estimating a sum by rounding**

How to Estimate a sum by rounding.

- Round each two-digit number
- Add the rounded numbers to get the best estimate.
For example, estimate the following sums:

46 + 31, 64 + 25, and 45 + 34

46 + 31 = 50 + 30 = 80

64 + 25 = 60 + 30 = 90

45 + 34 = 50 + 30 = 80