Scientific Notation Math Example 4

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

Example 4

easy
Write 45,000,00045{,}000{,}000 in scientific notation.

Solution

  1. 1
    Move the decimal point 7 places left to make a number between 1 and 10: 4.54.5.
  2. 2
    Because the decimal moved left 7 places, the exponent is positive 7: 4.5×1074.5 \times 10^7.

Answer

4.5×1074.5 \times 10^7
Scientific notation rewrites large numbers as a coefficient between 1 and 10 times a power of 10. Moving the decimal left creates a positive exponent.

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 3 easy

Convert [formula] to standard form and identify what famous constant this represents.

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