Question 1

1.78

When 48 is divided by 27, the result is approximately 1.7777. Rounding this value to the nearest hundredth yields 1.78.

A) 1.7

This option is incorrect because rounding 1.7777 to the nearest hundredth results in 1.78, not 1.7. Rounding down to 1.7 disregards the higher value in the thousandth place.

B) 1.77

This option is also incorrect. While 1.77 is close to the calculated value, rounding 1.7777 to the nearest hundredth correctly gives 1.78, as the digit in the thousandths place (7) indicates that the hundredths place should be rounded up.

C) 1.78

This is the correct answer. Rounding 1.7777 to the nearest hundredth results in 1.78, as the third decimal is 7, which ensures that the second decimal is rounded up.

D) 1.8

This option is incorrect because rounding 1.7777 to the nearest hundredth does not reach 1.8. The value at the hundredths place remains 7, so it should round to 1.78 instead of rounding up to 1.8.

Conclusion

The correct answer is 1.78 because it accurately reflects the rounding process applied to the division of 48 by 27. All other options fail to properly apply rounding rules, either rounding down too much or miscalculating the impact of the third decimal place.