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\\October 8, 2025 12:09 PM Bharat Arora P-9 Reader _________________________ Date: ___________________74

example 2: Subtract 5,78,97,325 from 7,89,46,852. Step 2: Subtract the number having C TL L tth th H T O
Solution: C TL L tth th H T O the ‘–’ sign in front of it from 6 11 11

Think Tank Critical Thinking the sum obtained in step 1.
8 13 16 4 12 8 8 3 7 2 1 9 9
7 8 9 4 6 8 5 2 What is the difference – 6 7 2 1 5 3 2 1
between the greatest
– 5 7 8 9 7 3 2 5 8-digit number and the 2 1 1 5 6 8 7 8
2 1 0 4 9 5 2 7 smallest 8-digit number? Thus, 3,11,19,281 – 6,72,15,321 + 5,72,52,918 = 2,11,56,878.

example 3: Subtract 3,52,014 from 8,14,369 and check your answer. example 2: In the first year, a farm produced 39,93,123 oranges and in the second year, it
Solution: Check: produced 78,91,323 oranges. From the total harvest of both years, 3,76,072 oranges were
L tth th H T O L tth th H T O
found to be rotten. If the farm sold all the remaining oranges, how many were sold in total?
7 11 1
8 1 4 3 6 9 4 6 2 3 5 5 Difference Solution: Number of oranges produced in the 1st year
– 3 5 2 0 1 4 + 3 5 2 0 1 4 Subtrahend = 39,93,123 C TL L tth th H T O

4 6 2 3 5 5 8 1 4 3 6 9 Minuend Number of oranges produced in the 2nd year 1 1 1
example 4: The greater number of two numbers is 96,58,358 and their sum is 1,00,00,568. = 78,91,323 3 9 9 3 1 2 3
Find the smaller number. Therefore, the total number of oranges in + 7 8 9 1 3 2 3
Solution: To find the smaller number, subtract the C TL L tth th H T O both years 1 1 8 8 4 4 4 6
greater number from the sum. 9 9 9 = 39,93,123 + 78,91,323 = 1,18,84,446

0 10 10 10 10 Number of rotten oranges = 3,76,072 C TL L tth th H T O
Sum of two numbers = 1 0 0 0 0 5 6 8 7 14 3 14
Greater number = – 9 6 5 8 3 5 8 Therefore, the total oranges sold in both years 1 1 8 8 4 4 4 6
Therefore, smaller number = 3 4 2 2 1 0 = 1,18,84,446 – 3,76,072 = 1,15,08,374 – 3 7 6 0 7 2
So, the smaller number is 3,42,210. Thus, 1,15,08,374 oranges were sold in both years. 1 1 5 0 8 3 7 4

Properties of Subtraction
1. When 0 is subtracted from a number, the difference is the number itself. example 3: In an examination, 19,543 students passed. Out of these, 3580 got grade A,
examples: 5048 – 0 = 5048 and 2671 – 0 = 2671 9500 got grade B and the remaining got grade C. How many students got grade C?

2. When 1 is subtracted from a number, we get its predecessor. Solution: tth th H T O
examples: 3489 – 1 = 3488. Here, 3488 is the predecessor of 3489. 1 1

3. When a number is subtracted from itself, the difference is always 0. Number of students who got grade A = + 3 5 8 0
0
0
5
Number of students who got grade B
=
9
examples: 3483 – 3483 = 0 and 27381 – 27381 = 0 Number of students who got grade A and grade B = 1 3 0 8 0
Think Tank Critical Thinking tth th H T O
Find the number which is 3676 less than the sum of 88888 and 33333. 4 14
1
addition and SubtraCtion togEthEr Total number of students who passed the exam = – 1 9 5 4 3
Number of students who got grade A and grade B
3
=
0
0
8
example 1: Simplify: 3,11,19,281 – 6,72,15,321 + 5,72,52,918. Number of students who got grade C = 0 6 4 6 3
Solution: Step 1: First add all the numbers having C TL L tth th H T O Thus, 6463 students got grade C in the examination.
either a ‘+’ sign or no sign in 1 1
front of them. 3 1 1 1 9 2 8 1 Think Tank Critical Thinking
+ 5 7 2 5 2 9 1 8 Subtract the sum of the place values of the 5s from the sum of the place values of
8 8 3 7 2 1 9 9 the 8s in the number 8,52,35,586.

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Mathematics-5
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