what is communicative property???
what is distributive property???
Hi!
Here is the answer to your query.
Let a and b be two whole numbers.
Commutative property:
a + b = b + a (Commutative property of addition)
a × b = b × a (Commutative property of multiplication)
Example: Let us take a = 2 and b= 3.
2 + 3 = 3 + 2 and 2 × 3 = 3 × 2
Let a, b and c be three whole numbers.
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)
Example:
Let us take a = 2, b = 3 and c = 5.
According to distributive property of integers the value of the expression 2 × (3 + 5) must be equal to the expression 2 × 3 + 2 × 5 and the value of the expression 2 × (3 – 5) must be equal to the value of the expression 2 × 3 – 2 × 5.
These can be verified as,
2 × (3 + 5) = 2 × 8 = 16
2 × 3 = 6 and 2 × 5 = 10
∴ 2 × 3 + 2 × 5 = 6 + 10 = 16
Thus, 2 × (3 + 5) = 2 × 3 + 2 × 5
Cheers!