To solve this problem, we need to find the difference between the result of multiplying the number 7236 by the incorrect multiplier (65) and the correct multiplier (56).
Here is the step-by-step solution:
1. Determine the results of both multiplications:
- When the number 7236 is multiplied by the incorrect multiplier (65), we get:
[tex]\[
7236 \times 65 = 470340
\][/tex]
- When the number 7236 is multiplied by the correct multiplier (56), we get:
[tex]\[
7236 \times 56 = 405216
\][/tex]
2. Calculate the difference between the incorrect and correct results:
- Subtract the correct result from the incorrect result:
[tex]\[
470340 - 405216 = 65124
\][/tex]
3. Conclusion:
- The student's incorrect multiplication resulted in an answer that is 65124 greater than the correct answer.
Therefore, the difference by which the student's answer was greater than the correct answer is 65124.
