Page 47 - Math Genius C5

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

Properties of division

1. When a number is divided by itself, the quotient is 1.
examples: (a) 36 ÷ 36 = 1 (b) 239 ÷ 239 = 1
2. When a number is divided by 1, the quotient is the number itself.
examples: (a) 37 ÷ 1 = 37 (b) 325 ÷ 1 = 325

3. When 0 is divided by a non-zero number, the quotient is zero.
examples: (a) 0 ÷ 44 = 0 (b) 0 ÷ 365 = 0

4. Division by 0 is meaningless.

Think Tank Critical Thinking

Vanraj bought an inverter battery. He read on it: Life—8760 hours. He uses it
throughout the day and the night. How many days will the battery run?

Practice time 2d

1. Find the quotient and remainder and check your answer.
( a) 2,75,736 ÷ 9 (b) 8,76,048 ÷ 7 (c) 6,83,396 ÷ 15 (d) 4,36,263 ÷ 23

( e) 8,04,009 ÷ 78 (f) 1,83,648 ÷ 143 (g) 7,28,804 ÷ 192 (h) 3,55,444 ÷ 222

2. Find the dividend, if
( a) divisor = 136, quotient = 75 and remainder = 31.

( b) divisor = 403, quotient = 801 and remainder = 325.

3. Fill in the blanks.
( a) 789 ÷ 789 = ______ (b) 5342 ÷ ______ = 5342 (c) ______ ÷ 6574 = 1

( d) ______ ÷ 218 = 0 (e) If 4032 ÷ 24 = 168, then 24 × 168 = ______

4. Match the following columns:
Column-I Column-II

(a) 54,363 ÷ 10 (i) Q = 430, R = 33
(b) 43,033 ÷ 100 (ii) Q = 487, R = 6
(c) 9,21,735 ÷ 1000 (iii) Q = 5436, R = 3
(d) 55,569 ÷ 100 (iv) Q = 697, R = 770
(e) 4876 ÷ 10 (v) Q = 921, R = 735

(f) 6,97,770 ÷ 1000 (vi) Q = 555, R = 69

5. Solve the following word problems.
( a) The cost of 130 radio sets is `2,99,520. What is the cost of one radio set?

( b) The product of two numbers is 3,32,878. If one of the numbers is 826, find the
other number.

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