Question

write distributive property of rational number ​

Answer 1

Step-by-step explanation:

a(b + c)

=ab + ac

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Answer 2

Suppose we have three whole numbers a, b, and c.

Distributive property:

a × (b + c) = a × b + a × c   (Distributive property for multiplication over addition)

a × (b – c) = a × b – a × c   (Distributive property for multiplication over subtraction)

a × (b + c)means that first of all we need to add b and c, then this result is multiplied with a.

a × (b – c)means that first of all we need to subtract c from b, then this result is multiplied with a.

Example:

Let us take a = 5, b = 19 and c = 27.

According to distributive property of integers the value of the expression 5 × (19 + 27) must be equal to the expression 5 × 19 + 5 × 27 and the value of the expression 5 × (27 – 19) must be equal to the value of the expression 5 × 27 – 5 × 19.

 

These can be verified as,

5 × (19 + 27) = 5 × 46 = 230

5 × 19 = 95 and 5 × 27 = 135

∴ 5 × 19 + 5 × 27 = 95 + 135 = 230

Thus, 5 × (19 + 27) = 5 × 19 + 5 × 27

 

In the similar manner, it can be verified that 5 × (27 – 19) = 5 × 27 – 5 × 19.

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