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\\November 3, 2023 10:57 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

3. When a number is multiplied by 0, the product is always 0.
Example: 493 × 0 = 0 and 9643 × 0 = 0

4. The product of three numbers does not change when the grouping of numbers is
changed. It is called grouping property of multiplication.
Example: (16 × 12) × 15 = (16 × 15) × 12 = (12 × 15) × 16 = 2880.
5. If a sum or a difference of two numbers is multiplied by another number, they can be
multiplied separately and then added or subtracted.

Examples: (a) (12 + 5) × 10 = 17 × 10 = 170
or (12 + 5) × 10 = (12 × 10) + (5 × 10)
= 120 + 50 = 170

(b) (12 – 5) × 10 = 7 × 10 = 70
or (12 – 5) × 10 = (12 × 10) – (5 × 10)
= 120 – 50 = 70

Practice Time 2C

1. Find the product.

(a) 2563 × 123 (b) 8905 × 236 (c) 7894 × 306 (d) 48792 × 216

(e) 16247 × 532 (f) 4578 × 1245 (g) 3486 × 2475 (h) 14018 × 1045
2. Find the product without actual multiplication.

(a) 7557 × 10 = ______ (b) 78051 × 100 = ______ (c) 4655 × 100 = ______

(d) 97435 × 100 = ______ (e) 7263 × 100 = ______ (f) 5090 × 1000 = ______

3. Fill in the blanks using properties of multiplication.

(a) 5326 × 60 = ______ × 5326 (b) 2897 × ______ = 0

(c) (100 × 20) × 5 = (____ × ____) × 20 (d) 1 × ______ = 5566

(e) (500 + 75) × 16 = ______ × 16 + 75 × ______

(f) (______ – ______) × ______ = 708 × 25 – 55 × 25

4. Match the following columns:

Column-I Column-II
(a) 8753 × 20 (i) 114600

(b) 2 × 5 × 483 (ii) 384500
(c) 4 × 573 × 50 (iii) 175060
(d) 10 × 3845 × 10 (iv) 4830

(e) 900 × 714 (v) 144000
(f) 4000 × 36 (vi) 642600

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