a (b + c) = ab + ac is
(a) commutative property
(b) distributive property
(c) associative property
(d) closure property

Solution:

The correct answer is (b).

a(b + c) = ab + ac is distribution of addition over multiplication.

Whereas commutative property is (a)(b) = (b)(a) under multiplication and a + b = b + a under addition.

Associative property is (ab)c = a(bc) under multiplication and (a + b) + c = a + (b + c) under addition

Closure property: it is the property under which the result of the indicated operation must be present in the same set.

✦ Try This: Given an example to show that addition of numbers is commutative under a natural number set.

Consider two natural numbers say 5 and 8

Now 5 + 8 = 13 and 8 + 5 = 13

Thus, 5 + 8 = 8 + 5

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

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NCERT Exemplar Class 8 Maths Chapter 7 Sample Problem 4

a (b + c) = ab + ac is (a) commutative property, (b) distributive property, (c) associative property, (d) closure property

Summary:

a (b + c) = ab + ac is distributive property

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☛ Related Questions:

• The representation of an expression as the product of its factors is called _________
• (x + a) (x + b) = x² + (a + b)x + _______
• An identity is true for all values of its variables. Is the given statement true or false