Question

EXERCISE 1.3
1. Using the distributive property, evaluate the following:

(vii) (-45) 20 + (-45) × 12 + (-45) * (-2)
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Answer 1

Answer:

(-45)× 20 + (-45) × 12 + (-45) × (-2)

= (-45)( 20 + 12 + (-2))

= -45 × 30

= -1350

Answer 2

Answer:

As Distributive Property says while multiplying same number to the sum of group of number will be same. If you will add group of number multiply it by same number it will equal if you multiply its separately & adding it.

Like

a.b +a.c+a.d can be written as a(b+c+d)

Now let we take your question

$\implies$(-45).(20)+(-45).(12)+(-45)(-2)

$\implies$(-45)[20 + 12 - 2]

$\implies$(-45)(32-2)

$\implies$(-45)(30)

$\implies$(-1350)

Answer

$\boxed{(-1350)}$