Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Subtract. Write your answer in scientific notation.\newline(6.9×109)(3.89×109)(6.9 \times 10^9) - (3.89 \times 10^9)\newlineChoices:\newline(A) 3.01×1093.01 \times 10^9\newline(B) 3.01×10103.01 \times 10^{10}\newline(C) 2.684×1092.684 \times 10^9\newline(D) 2.684×10102.684 \times 10^{10}

Full solution

Q. Subtract. Write your answer in scientific notation.\newline(6.9×109)(3.89×109)(6.9 \times 10^9) - (3.89 \times 10^9)\newlineChoices:\newline(A) 3.01×1093.01 \times 10^9\newline(B) 3.01×10103.01 \times 10^{10}\newline(C) 2.684×1092.684 \times 10^9\newline(D) 2.684×10102.684 \times 10^{10}
  1. Calculate Coefficients: We have: \newline(6.9×109)(3.89×109)(6.9 \times 10^9) - (3.89 \times 10^9)\newlineSince the powers of 1010 are the same, we can subtract the coefficients directly.\newlineWhat is 6.93.896.9 - 3.89?\newline6.93.89=3.016.9 - 3.89 = 3.01
  2. Convert to Scientific Notation: Write the answer in scientific notation.\newlineSubstitute 3.013.01 for the coefficient aa and 99 for the exponent bb in a×10ba \times 10^b.\newlineScientific notation: 3.01×1093.01 \times 10^9
  3. Find Equivalent Expression: Choose the equivalent expression for (6.9×109)(3.89×109)(6.9 \times 10^9) - (3.89 \times 10^9).(6.9×109)(3.89×109)=3.01×109(6.9 \times 10^9) - (3.89 \times 10^9) = 3.01 \times 10^9(6.9×109)(3.89×109)(6.9 \times 10^9) - (3.89 \times 10^9) is equivalent to 3.01×1093.01 \times 10^9.

More problems from Add and subtract numbers written in scientific notation