Question

Jace estimated the product of (34.57)(–0.74) by rounding each number to the nearest tenth. What was Jace’s estimate?–25.6–24.2224.2225.6

Answer 1

To estimate the product, first we round each number to the nearest tenth:

`34.57\approx34.6`

and

`-0.74\approx-0.7`

In the first number, since the second number in the decimal place of 34.57 is 7, we round up to 34.6.

In the second number -0.74, since the second number is 4 we round down to -0.7. The general rule is that if the second decimal number is greater than 5 you round up, and if is less than 5 you round down.

Now we calculate the product:

`(34.6)(-0.7)=-24.22`

Answer: -24.22