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Question 15 Marks
Match the following:
1.
625 × 436 = 625 × 400 + 625 × 30 + 625 ×6
a
Commutativity under addition.
2.
25 × 69 × 8 = 25 × 8 × 69
b
Commutativity under multiplication.
3.
60 + 19758 + 840 = 60 + 940 + 19758
c
Distributivity of multiplication over addition.
Answer
1.
625 × 436 = 625 × 400 + 625 × 30 + 625 ×6
a
Distributive of multiplication over addition.
2.
25 × 69 × 8 = 25 × 8 × 69
b
Commutative under multiplication.
3.
60 + 19758 + 840 = 60 + 940 + 19758
c
Commutative under addition.
  1. 625 × 436 = 625 × (400 + 30 + 6)
= 625 × 400 + 625 × 30 + 625 × 6

This is the distributive law of multiplication over addition.
  1. 25 × 69 × 8
= 25 × 8 × 69

This is the commutative law of multiplication.
  1. 60 + 19758 + 840
= 60 + 940 + 19758

This is the commutative law of addition.
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