Math Problem Statement

Write the number 83,000,000 in scientific notation.

Solution

This image is asking for the conversion of the number 83,000,000 into scientific notation. Here's how to do it:

  1. Scientific notation is written in the form:
    a×10na \times 10^n where 1a<101 \leq a < 10, and nn is the power of 10.

  2. To convert 83,000,000:

    • Place the decimal after the 8 to get 8.3 (this satisfies 1a<101 \leq a < 10).
    • Count how many places you moved the decimal point from the original number:
      • It moved 7 places to the left.
  3. The number in scientific notation is:
    8.3×1078.3 \times 10^7

Would you like further explanation, or do you have any additional questions?


Here are 5 related questions to expand on this topic:

  1. How would you write 0.00056 in scientific notation?
  2. What is the process for converting a number back from scientific notation to standard form?
  3. Why is scientific notation useful in scientific and engineering fields?
  4. How do you multiply numbers in scientific notation?
  5. How do negative exponents work in scientific notation?

Tip: Scientific notation helps simplify very large or very small numbers, making them easier to read and compute!

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Exponents

Formulas

a × 10^n where 1 ≤ a < 10

Theorems

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Suitable Grade Level

Grades 6-8