Question

53×(-9) - (-109)×53 evaluate using distributive property

Answer 1

53*(-9--109)
53*(-9+109)
53*(100)
53*100
=>5300

Answer 2

Answer:

53×(-9) - (-109)×53 =  5300

Step-by-step explanation:

To find,

The value of 53×(-9) - (-109)×53, using distributive property

Recall the concept

The distributive property multiplication over subtraction of three numbers a,b, and c are given by

a×(b-c) = a×b - a×c ---------------(1)

Here given expression is 53×(-9) - (-109)×53

Comparing the given expression with equation (1) we get

a = 53

b = -9

c = -109

Then applying the formula (1) for the given expression we get

53×(-9) - (-109)×53 = 53 ×[ (-9) - (-109)]

= 53×(-9+109)

= 53×100

= 5300

∴ 53×(-9) - (-109)×53 =  5300

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