Question

Verify the following and name the property:

15 x{(- 32) + (-18)} = 15 x (-32) + 15 x (-18)​

Answer 1

Step-by-step explanation:

this the DISTRIBUTIVE PROPERTY

Answer 2

1/6 (ii) 2/5 * (3/-7) – 1/6 * 3/2 + 1/14 * 2/5

Answer:

(i) -2/3 * 3/5 + 5/2 – 3/5 * 1/6

= -2/3 * 3/5 – 3/5 * 1/6 + 5/2 [Using associative property]

= 3/5 * (-2/3 – 1/6) + 5/2 [Using distributive property]

= 3/5 * {(-4 - 1)/6} + 5/2 [LCM (3, 2) = 6]

= 3/5 * (-5/6) + 5/2

= -3/6 + 5/2

= -1/2 + 5/2

= (-1 + 5)/2

= 4/2

= 2

(ii) 2/5 * (3/-7) – 1/6 * 3/2 + 1/14 * 2/5

= 2/5 * (-3/7) + 1/14 * 2/5 – 1/6 * 3/2 [Using associative property]

= 2/5 * (-3/7 + 1/14) – 1/2 * 1/2 [Using distributive property]