Question

Using distributive property , solve:- 35×98.​

Answer 1

Answer:-35×(-98)

-35×{-(100-2)}

-35×{-100+2}

-35×(-100)+(-35)×2

3500+(-70)

3500-70

3430

Step-by-step explanation:

Answer 2

Answer:

35×98 = 3430

Step-by-step explanation:

To find,

The product of 35×98 using the distributive property

Recall the formula,

If a, b and c are three integers then the distributive property of integers is given by

a(b+c) = a×b+a×c

Solution

We have 35×98

Since  98 = 100 -2, we have

35×98 = 35 (100 - 2) = 35(100 + (-2))

Apply the distributive property with a =  35 , b =  100 and c = -2

35 (100 + (-2)) = 35×100 + 35×(-2)

= 3500 +(-70)

= 3500 - 70

= 3430

35 (100 + (-2)) = 3430

∴ 35×98 = 3430

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