Page 47 - Touchpad Mathematics_Ver1.0_C4

E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_03\Chap_03
\ 10-Nov-2025 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

4. Grouping property: The product of three numbers does not change when we
change how the numbers are grouped.
Example: 20 × (6 × 5) = 20 × 30 = 600 same

(20 × 6) × 5 = 120 × 5 = 600
So, 20 × (6 × 5) = (20 × 6) × 5.

21 st
Activity Century #Computational Thinking
Skills

To explore multiplication and look for patterns in numbers:

Multiply 76923 by 1, 10, 9, 12, 3 and 4.
76923 × 1 = 076923 76923 × 10 = 769230 76923 × 9 = 692307

76923 × 12 = ___________ 76923 × 3 = ___________ 76923 × 4 = ___________
Do you see any pattern in the result obtained? ___________

Discuss the digits that appear in the product in each case.

Exercise 3A

1. Fill in the blanks.

a. 123 × 1 = _____ b. 167 × _____ = 167

c. _____ × 1 = 572 d. 3241 × _____ = 0
e. 457 × 0 = _____ f. 953 × _____ = 0

g. 48 × 165 = 165 × _____ h. 432 × 522 = _____ × 432

i. 169 × _____ = 215 × 169 j. 12 × (16 × 19) = (12 × _____) × 19

k. 62 × ( _____ × 49) = (62 × 93) × 49

2. Match the following multiplication sums with their properties.

Column A Column B

a. 3 × (4 × 6) = (3 × 4) × 6 i. Multiplicative property of 1
b. 16 × 0 = 0 × 16 = 0 ii. Grouping property of multiplication

c. 24 × 1 = 1 × 24 = 24 iii. Order property of multiplication

d. 3 × 6 = 6 × 3 = 18 iv. Multiplicative property of 0

45
Multiplication