Question

Find the product , using suitable properties.​

Answer 1

Answer:

1.

424-125

=299

Is the answer for first question

Step-by-step explanation:

Answer 2

Answer:

B].8 × 53 × (-125)

= 8 × (-125) × 53

= [8 × (-125)] × 53

= [-(8 × 125)] × 53

∵ a × (-b) = -(a × b)

= (-1000) × 53 = -(1000 x 53)

∵ (-a) × (b) = -(a × b) = -53000

D]. (-41) × 102 = -(41 × 102)

∵ (-a) × b = -(a × b) =-[41 × (100 + 2)]

= -[41 × 100 + 41 × 2]

Distributivity of multiplication over addition.

= -[4100 + 82] = -4182

F]. 7 × (50 – 2)

= 7 × 50 – 7 × 2

∵ Distributivity of multiplication over subtraction

= 350 – 14 = 336

H].(-57) × (-19) + 57

= 57 × 19 + 57

∵ (-a) × (-b) = a × b = 57 × 19 + 57 × 1

∵ (a × 1 = a) = 57 × (19 + 1)

∴ Distributivity of multiplication over subtraction.

= 57 × 20 = 1140