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.

Step-by-step 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:
$\frac{42}{100} = 0.42$

The last step is to multiply the decimal by 78:
$0.42 \times 78 = 32.76$