Check for Subtraction and Addition

We will learn to check for subtraction and addition answers after solving.

We can use addition to check subtraction.

We have learnt that we subtract smaller number from the larger number to find the difference of two numbers. Therefore, to check the answer we can add the difference to the smaller number and if the sum equals to the larger number, our answer is correct.

Let us subtract 9 from 27 and check our answer.

     2     7

  -        9

     1     8

We add the smaller number to the difference, we get the larger number.

     1     8

  +        9

     2     7

Start with the difference then add the number you subtracted.

Difference of two numbers is correct when the sum of the subtrahend number and the difference is equal to the minuend.

Check for Subtraction and Addition Answer


We can say that,

Checking Subtraction

Let us subtract 38 from 96 and check our answer.

Checking Subtraction with Addition

How can you use addition to check the answer of subtraction? How can you use subtraction to check the answer of addition?

Addition (+) and subtraction (-) are opposite operations in math, so you can use one to check the answer of the other one. 

For example

1. 2 + 3 = 5

    5 - 3 = 2

The first way says, if we start with 2 and add 3, we get 5. The second way says, if we start with 5 and take away 3, we get 2. We are just playing with the same numbers forward and backward.



2.

Check for Addition Answer

Thus, 6476 - 2365 = 4111 is true as 2365 + 4111 = 6476. Similarly, the sum of two numbers is true if the difference between the sum and the first number is equal to the second number, i.e., 2365 + 4111 = 6476 is true as 6476 - 4111 = 2365 or 6476 - 2365 is equal to 4111.


3. Checking Subtraction with Addition:

Checking Subtraction with Addition


Checking Subtraction using Addition:

4. Subtract 28 from 63 and check the answer.

Solution:

Subtract Check Answer

We need to regroup 63 as we cannot subtract 8 from 3.

On taking 1 ten from the tens column,

we get 5 in the tens column and 13 in the ones column.

13 ones - 8 ones = 5 ones and

5 tens - 2 tens = 3 tens.

Checking Subtraction Answer

How do we check if this answer is correct?

The method is simple.

We will add the difference of the two numbers to the number we subtracted.

So, we add 35 to 28.

The answer we get is 63.

This shows that our subtraction was done correctly.


Similarly.

If 96 - 34 = 62 then 34 + 62 = 96

If 67 - 48 = 19 then 48 + 19 = 67

If 20 - 8 = 12 then 8 + 12  = 20


CHECKING SUBTRACTION WITH ADDITION

5. Let us subtract 23 from 49 and check our answer.

Solution:

      T     O

      4     9

  -   2     3

      2     6

If we add the 'difference' to the 'subtrahend' (the smaller number), we get the 'minuend' (the greater number).

You can use addition to check your answer for subtraction.

Checking Subtraction with Addition

Check: Difference + Subtrahend = Minuend


Worksheet on Check for Subtraction and Addition:

1. Subtract and check your answer. One has been done for you.

(i)

               T          O

               5          7

           -   1          4

               4          3

Check

               T          O

               1          4

           +  4          3

               5          7

(ii)

               T          O

               5          1

           -   4          6

                             

Check

               T          O

               

             +              

                              

(iii)

               T          O

               4          3

           -   3          2

                             

Check

               T          O

               

             +              

                              

(iv)

               T          O

               7          1

           -   2          6

                             

Check

               T          O

               

             +              

                              

(v)

               T          O

               8          1

           -   4          5

                             

Check

               T          O

               

             +              

                              

(vi)

               T          O

               6          4

           -   2          1

                             

Check

               T          O

               

             +              

                              

(vii)

               T          O

               2          7

           -   1          9

                             

Check

               T          O

               

             +              

                              

(viii)

               T          O

               4          2

           -   3          7

                             

Check

               T          O

               

             +              

                              


Answer:

1.

(ii)

               T          O

               5          1

           -   4          6

                           5 

Check

               T          O

               4          6

           +             5

               5          1

(iii)

               T          O

               4          3

           -   3          2

               1           1

Check

               T          O

               3          2

           +  1          1

               4          3

(iv)

               T          O

               7          1

           -   2          6

               4          5

Check

               T          O

               2          6

           +  4          5

               7          1

(v)

               T          O

               8          1

           -   4          5

               3          6

Check

               T          O

               4          5

           +  3          6

               8          1

(vi)

               T          O

               6          4

           -   2          1

               4          3

Check

               T          O

               2          1

           +  4          3

               6          4

(vii)

               T          O

               2          7

           -   1          9

                           8

Check

               T          O

               1          9

           +             8

               2          7

(viii)

               T          O

               4          2

           -   3          7

                           5

Check

               T          O

               3          7

           +             5

               4          2


2. Subtract and verify:

(i)

           Th     H     T     O

            5      2     8      3

        -   2      8     8      6

      _________________

(ii)

           Th     H     T     O

            9      6      1     2

        -   4      8      2     5

      _________________

(iii)

           Th     H     T     O

            9      6      1     2

        -   4      8      2     5

      _________________

(iv)

           Th     H     T     O

            6      5      4     4

        -   3      3      3     2

      _________________

(iii)

           Th     H     T     O

            6      7      2     3

        -   3      2      6     9

      _________________

(iv)

           Th     H     T     O

            5      6      3     2

        -   2      5      9     8

      _________________

(v)

           Th     H     T     O

            7      0      0     0

        -   4      0      5     9

      _________________

(vi)

           Th     H     T     O

            5      3      3     2

        -   2      4      5     6

      _________________

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Related Concept

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Subtraction

Check for Subtraction and Addition

Word Problems Involving Addition and Subtraction

Estimating Sums and Differences

Find the Missing Digits

Multiplication

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Multiplication of a Number by a 3-Digit Number

Multiply a Number

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Word Problems on Multiplication

Multiplication and Division

Terms Used in Division

Division of Two-Digit by a One-Digit Numbers

Division of Four-Digit by a One-Digit Numbers

Division by 10 and 100 and 1000

Dividing Numbers

Estimating the Quotient

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4th Grade Math Activities

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