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

(Hint: Do you need to do both the multiplications?)



Answer :

To determine how much greater the student's answer was compared to the correct answer, let's follow these steps:

1. Understand the numbers involved:
- The original number is 7236.
- The student incorrectly multiplied by 65.
- The correct multiplier should have been 56.

2. Calculate the student’s incorrect multiplication:
- The incorrect multiplication is 7236 multiplied by 65.

3. Calculate the correct multiplication:
- The correct multiplication is 7236 multiplied by 56.

4. Find the difference between the incorrect result and the correct result.

Let’s go through these steps one by one:

1. Correct multiplication:

[tex]\( 7236 \times 56 = 405,216 \)[/tex]

2. Incorrect multiplication:

[tex]\( 7236 \times 65 = 470,340 \)[/tex]

3. Difference between the incorrect result and the correct result:

[tex]\( 470,340 - 405,216 = 65,124 \)[/tex]

So, the student's answer was greater than the correct answer by 65,124.