Question

FIND THE PRODUCT USING SUITABLE PROPERTIES:

a) 26 x -48 + -48 x -36

b) 8 x 53x -125

c) -57 x -19 + 57

Answer 1

$\huge\mathscr{Step-by-step}$

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(a) 26 × (– 48) + (– 48) × (–36)

The given equation is in the form of Distributive law of Multiplication over Addition.

[= a × (b + c) = (a × b) + (a × c)]

Let, a = -48, b = 26, c = -36

Now,

= 26 × (– 48) + (– 48) × (–36)

= -48 × (26 + (-36)

= -48 × (26 – 36)

= -48 × (-10)

= 480

(b) 8 × 53 × (–125)

The given equation is in the form of Commutative law of Multiplication.

[= a × b = b × a]

Then,

= 8 × [53 × (-125)]

= 8 × [(-125) × 53]

= [8 × (-125)] × 53

= [-1000] × 53

= – 53000

(c) (–57) × (–19) + 57

The given equation is in the form of Distributive law of Multiplication over Addition.

[= a × (b + c) = (a × b) + (a × c)]

= (57 × 19) + (57 × 1)

= 57 [19 + 1]

= 57 × 20

= 1140

Hence, Solved!

Answer 2

heey buddy

hope it's useful