Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Subtract. Write your answer in scientific notation.\newline(8.97×102)(5×102)(8.97 \times 10^2) - (5 \times 10^2)\newlineChoices:\newline(A) 8.4×1038.4 \times 10^3\newline(B) 8.4×108.4 \times 10\newline(C) 3.97×1023.97 \times 10^2\newline(D) 3.97×1003.97 \times 10^0

Full solution

Q. Subtract. Write your answer in scientific notation.\newline(8.97×102)(5×102)(8.97 \times 10^2) - (5 \times 10^2)\newlineChoices:\newline(A) 8.4×1038.4 \times 10^3\newline(B) 8.4×108.4 \times 10\newline(C) 3.97×1023.97 \times 10^2\newline(D) 3.97×1003.97 \times 10^0
  1. Calculate Coefficients: We have:\newline(8.97×102)(5×102)(8.97 \times 10^2) - (5 \times 10^2)\newlineSince the powers of 1010 are the same, we can subtract the coefficients directly.\newlineWhat is 8.9758.97 - 5?\newline8.975=3.978.97 - 5 = 3.97
  2. Convert to Scientific Notation: Write the answer in scientific notation.\newlineSubstitute 3.973.97 for the coefficient and 22 for the exponent in a×10ba \times 10^b.\newlineScientific notation: 3.97×1023.97 \times 10^2
  3. Find Equivalent Expression: Choose the equivalent expression for (8.97×102)(5×102)(8.97 \times 10^2) - (5 \times 10^2).(8.97×102)(5×102)=3.97×102(8.97 \times 10^2) - (5 \times 10^2) = 3.97 \times 10^2(8.97×102)(5×102)(8.97 \times 10^2) - (5 \times 10^2) is equivalent to 3.97×1023.97 \times 10^2.

More problems from Add and subtract numbers written in scientific notation