Question

A student said that 42% of 78 is 45. Is this answer reasonable

Answer 1

Answer: Sample response: 42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.

Explanation:

Answer 2

No, the student is wrong.

42% of 78 is 32.76

Convert the percentage (42) into a decimal by dividing it over 100:

`(42)/(100) = 0.42`

The last step is to multiply the decimal by 78:

`0.42 * 78 = 32.76`