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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-02
\\December 7, 2023 3:54 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74
Checking subtraction using addition
We can check the subtraction by adding the difference to the subtrahend. If the sum of
the difference and the subtrahend is equal to the minuend, the subtraction is correct.
example 4: Find: 9,58,028 – 6,41,280 and check the answer.
Solution: L tth th H t O
9
7 10 12
9 5 8 0 2 8 Minuend
– 6 4 1 2 8 0 Subtrahend
3 1 6 7 4 8 Difference
8 ones – 0 ones = 8 ones
12 tens – 8 tens = 4 tens
9 hundreds – 2 hundreds = 7 hundreds
7 thousands – 1 thousand = 6 thousands
5 ten thousands – 4 ten thousands = 1 ten thousand
9 lakhs – 6 lakhs = 3 lakhs
Thus, 9,58,028 – 6,41,280 = 3,16,748 L tth th H t O
Check: The result or the difference 1 1
when added to the subtrahend must Subtrahend 6 4 1 2 8 0
give the minuend. Difference + 3 1 6 7 4 8
Hence, the answer is correct. Minuend 9 5 8 0 2 8
subtraction with Zeros tth th H t O
example 5: What must be added to 67,284 to get 90,000? 9 9 9
Solution: To get the required number, we subtract 67,284 8 10 10 10 10
from 90,000. 9 0 0 0 0
Arrange the numbers in columns and subtract – 6 7 2 8 4
as shown here. 2 2 7 1 6
Thus, 22,716 must be added to 67,284 to get 90,000.
example 6: What must be subtracted from 73,648 to get 43,000?
Solution: To get the required number, we subtract 43,000 from 73,648 and then
check the answer.
tth th H t O tth th H t O
7 3 6 4 8 7 3 6 4 8
– 4 3 0 0 0 Checking – 3 0 6 4 8
3 0 6 4 8 4 3 0 0 0
Thus, 30,648 must be subtracted from 73,648 to get 43,000.
42 Mathematics-4

