Question

Match the properties of Integers :

(a) Distributive law over addition (i) a + 0 = a = 0 + a

(b) Associative law for multiplication. (ii) a + b = b + a

(c) Additive Identity (iii) (a × b) × c = a × (b × c)

(d) Commutative law over addition (iv) a × 1 = 1 × a = a

(e) Multiplicative Identity. (v) a × (b + c) = a × b + a × c. ​

Answer 1

a) Distributive Law over Addition - (v) a × (b + c) = (a × b) + (a × c)

The Distributive Property is when we multiply a number by a group of numbers that are been added together is the same by multiplying them separately.

For example ⇒ 5 × (8 + 2) = (5 × 8) + (5 × 2)

b) Associative Law for Multiplication - (iii) (a × b) × c = a × (b × c)

The Associative Property is when we know that we can add or multiply in order.

For example ⇒ 2 × (3 × 4) can also be written as (2 × 3) × 4

c) Additive Indentity - (i) a + 0 = a = 0 + a

The Additive Identity Property is when we add a number to zero or add zero to a number, then we get the same number.

For example ⇒ 4 + 0 = 0 + 4 = 4

d) Commutative Law over Addition - (ii) a + b = b + a

The word "commutative" comes from "commute", so the Commutative Property refers to moving stuff around.

For example ⇒ 2 + 3 = 3 + 2

e) Multiplicative Identity - (iv) a × 1 = 1 × a = a

The Multiplicative identity is like the additive identity. When we multiply 1 by a number we get the same number.

For example ⇒ 10 × 1 = 10

Answer 2

Answer:

Step-by-step explanation: