Using distributive property, solve the following: (а) 287 x 101 (b) 427 x 98
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Explanation:-
a) let 101 be written as ( 100 + 1 )
⇒ 287 × 101
⇒ 287 × ( 100 + 1 )
- using distributive property of addition [ a ( b + c ) = a × b + a × c ]
⇒ ( 287 × 100 ) + ( 287 × 1 )
⇒ 28700 + 287
⇒ 28987
Answer is 28987
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b) Let 98 be written as ( 100 - 2 )
⇒ 427 × 98
⇒ 427 × ( 100 - 2 )
- Using distributive property of subtraction [ a ( b - c ) = a × b - a × c ]
⇒ ( 427 × 100 ) - ( 427 × 2 )
⇒ 42700 - 854
⇒ 41846
Answer is 41846
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