2-Digit Numbers Subtraction using Expanded Form

Here we will learn 2-digit numbers subtraction using expanded form.

Express each number in expanded form, then subtract the ones and tens place.


Let's try to solve the following example:

Subtraction of 2-Digit Numbers with Regrouping:

1. Subtract 45 from 72.

Solution:

First we need to express the number 45 and 72 in expanded form.

Expanded form of 45

45 = 4 tens + 5 ones

and

Expanded form of 72

72 = 7 tens + 2 ones 


Now we subtract the expanded form of 72 and 45:

          72       =     7 tens  +   2 ones   =     6 tens   +  12 ones

        - 45       = -  4 tens   +  5 ones    = -  4 tens   +   5 ones

    Difference  =                                         2 tens   +  7 ones     = 27


Therefore, 72 - 45 = 27


Note: Since in ones place 5 is greater than 2 so, we regroup 7 tens + 2 ones to 6 tens 12 ones.

2. Subtract 29 from 57.

Solution:

First we need to express the number 29 and 57 in expanded form.

Expanded form of 29

29 = 2 tens + 9 ones

and

Expanded form of 57

57 = 5 tens + 7 ones 


Now we subtract the expanded form of 57 and 29:

          57       =     5 tens  +   7 ones   =     4 tens   +  17 ones

        - 29       = -  2 tens   +  9 ones    = -  2 tens   +   9 ones

    Difference  =                                         2 tens   +  8 ones      = 28


Therefore, 57 - 29 = 28


Note: Since in ones place 9 is greater than 7 so, we regroup 5 tens + 7 ones to 4 tens 17 ones.


3. Subtract 35 from 81.

Solution:

First we need to express the number 35 and 81 in expanded form.

Expanded form of 35

35 = 3 tens + 5 ones

and

Expanded form of 81

81 = 8 tens + 1 one


Now we subtract the expanded form of 81 and 35:

          81       =     8 tens  +   1 one     =     7 tens   +  11 ones

        - 35       = -  3 tens   +  5 ones    = -  3 tens   +   5 ones

    Difference  =                                         4 tens   +   6 ones      = 46


Therefore, 81 - 35 = 46


Note: Since in ones place 5 is greater than 1 so, we regroup 8 tens + 1 ones to 7 tens 11 ones.

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