Practice Scientific Notation Operations in Math

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

Quick Recap

Performing addition, subtraction, multiplication, and division on numbers expressed in scientific notation.

Multiplying and dividing are straightforward: multiply or divide the coefficients and add or subtract the exponents. Adding and subtracting require matching the powers of 10 first, like finding a common denominator.

Example 1

medium
Compute (3.2 \times 10^5) \times (4.0 \times 10^{-3}) and express in scientific notation.

Example 2

hard
Compute \dfrac{6.0 \times 10^8}{2.4 \times 10^{-2}} and (5.0 \times 10^3) + (3.0 \times 10^2), expressing both in scientific notation.

Example 3

easy
Compute (2.5 \times 10^4) \times (3.0 \times 10^6). Express your answer in scientific notation.

Example 4

medium
The mass of the Earth is 5.97 \times 10^{24} kg. The mass of the Moon is 7.35 \times 10^{22} kg. How many times heavier is the Earth than the Moon?
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