Verified answer

Step-by-step explanation:

The commutative property of multiplication states that changing the order of the factors does not change the product. That is, for any two rational numbers a and b, a * b = b * a.

i) Let's verify the commutative property of multiplication for 9/14 and -5/7.

9/14 * (-5/7) = -45/98

(-5/7) * (9/14) = -45/98

Therefore, we can see that 9/14 * (-5/7) = (-5/7) * 9/14.

ii) The commutative property of addition states that changing the order of the numbers does not change the sum. That is, for any two rational numbers a and b, a + b = b + a.

Let's verify the commutative property of addition for -7 and 8/21.

-7 + 8/21 = -145/21

8/21 + (-7) = -145/21

Therefore, we can see that -7 + 8/21 = 8/21 + (-7).