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.

You might like these



2nd Grade Math Practice

From 2-Digit Numbers Subtraction using Expanded Form to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More