Subtracting Numbers in Expanded Form

Learn to how to solve subtracting numbers in expanded form (in short and in long form). The digits are arranged in expanded form in the vertical order and then find the difference between the given numbers.

1. Subtract 26 from 69 (long form) by arranging the numbers in expanded form.

Solution:

Subtract 69 - 26 by arranging the numbers in expanded form

First the digits are arranged in columns;

   6    9  =   6 tens + 9 ones

- 2    6  = - 2 tens + 6 ones

           =    4 tens + 3 ones

           =    43

Difference of digit of one’s place = 9 – 6 = 3 ones

Difference of digit of tens place = 6 – 2 = 4 tens


2. Subtract 43 from 75 (short form) by arranging the numbers in expanded form.

Solution:

Subtract 75 - 43 by arranging the numbers in expanded form

First the digits are arranged in columns;

         7       5       =       70  +  5

     -   4       3      =   -   40  +  3

                          =       30  +  2

                          =       32

5 – 3 = 2

70 – 40 = 30


3. Subtract 54 from 98 (long form) by arranging the numbers in expanded form.

Solution:

Subtract 98 - 54 by arranging the numbers in expanded form

First the digits are arranged in columns;

     9       8     =      9 tens  +  8 ones

-   5       4     =  -   5 tens  +  4 ones

                   =       4 tens  +  4 ones

                   =       44

8 ones – 4 ones = 4 ones

9 tens – 5 tens = 4 tens


4. Subtract 21 from 51 (short form) by arranging the numbers in expanded form.

Solution:

Subtract 51 - 21 by arranging the numbers in expanded form

First the digits are arranged in columns;

         5       1        =       50  +  1

     -   2       1       =   -   20  +  1

                           =       30  +  0

                           =       30

1 – 1 = 0

50 – 20 = 30

The above examples will help us to solve different types of problems on subtracting numbers in expanded form.

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2nd Grade Math Practice

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