Question

2. Jun Wei says that 8.395 is equal to 8.4 when rounded off to 2 decimal places because he thinks that 8.40 is the same as 8.4. Do you agree? Explain your answer.​

Answer 1

Jun Wei is incorrect.

Explanation:

In this case, Jun Wei is incorrect.

When rounding a number to two decimal places, the general rule is to look at the digit immediately to the right of the desired decimal place. If that digit is 5 or greater, we round up, but if it is less than 5, we round down.

In the given number, 8.395, the third decimal place is 5.

This means we need to round up to 8.40 rather than round down to 8.39.

The notation 8.40 is equivalent to 8.4, as the trailing zero after the decimal point does not change the value of the number. However, as the number should be rounded to 2 decimal places, the correct notation is 8.40, as 8.4 is rounded to one decimal place.

Answer 2

Yes, I agree with Jun Wei's statement that 8.395 is equal to 8.4 when rounded off to 2 decimal places.

Explanation:

When rounding off to 2 decimal places, we look at the third decimal place. If it is 5 or greater, we round up the second decimal place by 1. If it is less than 5, we leave the second decimal place as it is.

In this case, the third decimal place of 8.395 is 5, so we round up the second decimal place, which is 9, by 1. Therefore, 8.395 rounds off to 8.4.

Furthermore, Jun Wei's assumption that 8.40 is the same as 8.4 is correct. The trailing zero in 8.40 signifies that it has been rounded off to 2 decimal places. Therefore, 8.40 and 8.4 are equivalent.

Hope it helps!