I am not understanding what is distributive property - Maths - Whole Numbers

Question

I am not understanding what is distributive property

Lalit Mehra · Accepted Answer

Hi!
Here is the answer to your query
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
Cheers!