Question

Name the property used in the following:
a) 45 x 19 = 19 x 45
b) (53 x 21) x 81 = 53 x (21 x 81)
c) (27 x 89) + (27 x 5) = 27 x (89 + 5)

Answer 1

Answer :-

• a) Communicative property.
• b) Associative property.
• c) Distributive property.

To find :-

• Properties used in the following questions, a) 45 x 19 = 19 x 45, b) (53 x 21) x 81 = 53 x (21 x 81), c) (27 x 89) + (27 x 5) = 27 x (89 + 5).

Solution :-

• Here, The questions are given, We need to find the properties used in them.

Step by step explanation :-

• a) 45 × 19 = 19 × 45

Here,

• However the factors are multiplied, The product obtained will be the same.

Hence,

• It is communicative property of multiplication.

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• b) (53 × 21) × 81 = 53 × (21 × 81)

Here,

• However the factors are grouped, The product obtained by them will be the same.

Hence,

• It is associative property of multiplication$.$

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• c) (27 × 89) + (27 × 5) = 27 × (89 + 5)

Here,

• The product of two factors is attached with a addition sign.

Thus,

• It is distributive property.

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