To estimate the product, first we round each number to the nearest tenth:
[tex]34.57\approx34.6[/tex]and
[tex]-0.74\approx-0.7[/tex]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:
[tex](34.6)(-0.7)=-24.22[/tex]Answer: -24.22
