Question

WILL AWARD MEDAL PLEASE HELP.
Perform the following calculations to the correct number of significant figures.

(9471+49−9.1)×(8.8×10^6).

Answer 1

@dan815

Answer 2

I believe it is 8.370x10^10

The reason for this is due to the fact that you follow the order of operations rule of Parentheses, Exponents, Multiply&Divide, Addition&Subtraction. When you come up to the problem when you have three grouped in the parenthesis with addition and subtraction or multiplication and division it does not matter what order they are conducted in since the order of operations only differentiates between Multiplication&Division and Addition&Subtraction.

For the significant figure you want to use between the lowest and highest numbers, which would be 2 numbers and 4 numbers respectively. I usually use the highest to have the best possible answer and then round when necessary.

Hope this helps!