Subtraction Addition Relation
Subtraction Addition Relation
When we subtract an addend from the sum of two addends, we get the other addend.
Let us consider the following example;
Add 193 and 28
Let us perform the following addition
193 + 28 = ?
We will place the numbers such that the tens digit is below tens column and ones digit below ones column as shown below
We will first add the digits at ones place that is 3, 8 and the result will be 11.
Now 11 is greater than 9 so the tens part of 11 that is 1 will be carried over to the tens place and 1 will be placed in the ones column of the answer
Then we will add the digits at tens place that is 9, 2 and that carry that is 1 and the result will be 12.
Now 12 is greater than 9 so the tens part of 12 that is 1 will be carried over to the hundreds place and 2 will be placed in the tens column of the answer
Then we will add the digits at hundreds place that is 1, 0 and that carry that is 1 and the result will be 2.
As shown in the figure below
The final result will be 76
To verify addition subtraction relation we will subtract each of the addends one by one that is 28 and 48 from the sum 76.
Subtract 193 from 221
As we have to subtract 193 from 221 we will perform the following steps
Step 1: Subtract the ones first.
1 ones - 3 ones
As 1 is less than 3 so we will subtract the ones by regrouping.
1 tens 1 ones = 11 ones
11 ones - 3 ones = 8 ones.
Step 2: Subtract the tens
1 tens - 9 tens
As 1 is less than 9 so we will subtract the tens by regrouping.
1 hundred 1 tens = 11 tens
11 tens - 9 tens = 2 tens
Hence the answer will be 28
This 28 is the other addend.
Subtract 28 from 221
As we have to subtract 428 from 221 we will perform the following steps
Step 1: Subtract the ones first.
1 ones - 8 ones
As 1 is less than 8 so we will subtract the ones by regrouping.
1 tens 1 ones = 11 0nes
11 ones - 8 ones = 3 ones.
Step 2: Subtract the tens
1 tens - 2 tens
As 1 is less than 2 so we will subtract the tens by regrouping.
1 hundred 1 tens = 11 tens
11 tens - 2 tens = 9 tens
Step 3: Subtract the hundreds
1 hundreds - 0 hundreds = 1 hundreds
Hence the answer will be 193
This 193 is the other addend.
This proves Subtraction Addition Relation
Illustration 1: Fill in the blank.
A. 112
B. 68
C. 180
D None of these
Answer: C
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