Question

A student multiplied 7236 by 65 instead of multiplying with 56. By how much his answer is greater than the correct answer?

Answer 1

Hint: To solve the question, we have to arrive at understanding that the required answer is equal to the subtraction of the correct answer from the student answer.

Complete step-by-step answer:

When a student multiplied 7236 by 65 instead of multiplying with 56, the answer exceeds the correct answer by the value = The value of the answer - the value of the correct answer
The value of the answer the student calculated \[=7236\times 65\]
The value of the correct answer \[=7236\times 56\]
Thus, the student answer exceeds the correct answer by the value \[=\left( 7236\times 65-7236\times 56 \right)\]
= 470340 – 405216
= 65,124
\[\therefore \] The student answer is greater than the correct answer by the value = 65,124

Note: The alternative method of solving the question is multiplying the given number 7236 with a number, which is obtained by subtracting 56 from 65. This will ease the procedure of solving.. The possibility of mistake can be the confusion caused by similar numbers 65, 56 as the student got confused in the question, to avoid the confusion we have to reread the question to find that we need to calculate the exceeded value and to know 65 is greater than 56. Thus, the required answer is a product of 7236 with a number, which is obtained by subtracting 56 from 65.