Math Problem Statement

Divide 6.65 × 10^(-3) by 9.5 × 10^(-8) and write the answer in scientific notation.

Solution

The result of the division 6.65×1039.5×108\frac{6.65 \times 10^{-3}}{9.5 \times 10^{-8}} in scientific notation is 7.00×1047.00 \times 10^{4}.

Would you like more details on how this was calculated? Here are some related questions to explore:

  1. How do you multiply or divide numbers in scientific notation?
  2. Why is it important to express numbers in scientific notation?
  3. What are the steps to convert a decimal to scientific notation?
  4. How do you handle exponents during multiplication or division of powers of ten?
  5. What are some real-world applications of scientific notation?

Tip: When dividing numbers in scientific notation, you divide the base numbers first, and then subtract the exponents of 10.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Scientific Notation
Division of Exponents

Formulas

(a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 10^(m-n)

Theorems

Properties of Exponents

Suitable Grade Level

Grades 8-10