8. A student multiplied 7236 by 65 instead of multiplied by 56. by how much was his answer greater than the correct answer do you need to do both the multiplication
Answers
Answer:
Answer: His answer was greater than the correct answer by 65124.
Answer :
Given :-
A student multiplied 7236 by 65 instead of multiplied by 56.
To find :-
by how much was his answer greater than the correct answer ?
Solution :-
Given that
A student multiplied 7236 by 65
On multiplying them
7236×65
_________
36180
43416
_________
470340
_________
7236×65 = 470340
But The actual number = 56
On multiplying 7236 by 56
7236×56
_________
43416
36180
_________
405216
_________
7236×56=405216
So The result with wrong multiplication
= 470340-405216
=65124
or
(7236×65)-(7236×56)
By distributive Property
=> 7236(65-56)
=> 7236×9
=> 65124
The excess value = 65124
Answer:-
His answer 65124 is greater than correct answer
Used formulae:-
Distributive Property:-
a ,b,c are three integers then a×(b+c)=(a×b)+(a×c) is called distributive Property under multiplication over addition in the integers