Practice Scientific Notation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

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

Instead of writing out all the zeros in 93,000,000 or 0.000042, you slide the decimal point and count how many places it moved. The exponent on 10 keeps track of the shift.

Example 1

easy
Write 0.00047 in scientific notation.

Example 2

medium
Compute (3.0 \times 10^5) \times (2.0 \times 10^{-3}) and express the answer in scientific notation.

Example 3

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

Example 4

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