Question

Verify the commutative property for multiplication of integers $8$and $(-4)$.

Answer 1

Verification of commutative property for multiplication of integers

According to the commutative property of multiplication of integers, for any integers $a$ and $b$

$a\times b=b\times a$

Step 1: Solve L.H.S

$a\times b=8\times (-4)=-32$

Step 2: Solve R.H.S

$b\times a=(-4)\times 8=-32$

STEP 3: Verification of the property

Since, L.H.S $=$R.H.S

Commutative property for multiplication of integers $8$ and $(-4)$ is verified.

Hence, $8\times (-4)=(-4)\times 8$.