Question

Find the value of each of the following using various properties: (a) 989 × 10 × 982 – 882 × 9890​

Answer 1

Follow the above method.

the ans is 989000

Answer 2

SOLUTION

TO DETERMINE

The value of

989 × 10 × 982 – 882 × 9890

FORMULA TO BE IMPLEMENTED

Distributive PROPERTY

For there real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

989 × 10 × 982 – 882 × 9890

= 989 × 10 × 982 – 882 × 989 × 10

= 989 × 10 × 982 – 989 × 10 × 882 [ By Commutative property ]

= 989 × 10 × [ 982 - 882 ] [ By Distributive Property ]

= 989 × 10 × 10

= 98900

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