Scientific Notation Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Convert 6.02×10236.02 \times 10^{23} to standard form and identify what famous constant this represents.

Solution

  1. 1
    Move the decimal 23 places to the right: 602,000,000,000,000,000,000,000602{,}000{,}000{,}000{,}000{,}000{,}000{,}000.
  2. 2
    This is Avogadro's number, the number of particles in one mole of a substance.

Answer

602,000,000,000,000,000,000,000602{,}000{,}000{,}000{,}000{,}000{,}000{,}000
Scientific notation is essential for expressing extremely large or small quantities concisely. Avogadro's number is a classic example of why we need this notation.

About Scientific Notation

A way of writing very large or very small numbers as a×10na \times 10^n, where 1≤∣a∣<101 \leq |a| < 10 and nn is an integer.

Learn more about Scientific Notation →

More Scientific Notation Examples

Example 1 easy

Write [formula] in scientific notation.

Example 2 medium

Compute [formula] and express the answer in scientific notation.

Example 4 easy

Write [formula] in scientific notation.

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