Practice Scientific Notation Operations in Math

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

Worksheet PDF Free Answer-key PDF Family

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.

Showing a random 20 of 50 problems.

Example 1

easy
Divide: 8×1094×102\dfrac{8 \times 10^9}{4 \times 10^2}.

Example 2

medium
Subtract: 1.2×10−2−4×10−31.2 \times 10^{-2} - 4 \times 10^{-3}.

Example 3

easy
Multiply: (2×103)(3×104)(2 \times 10^3)(3 \times 10^4).

Example 4

medium
Multiply: (5×107)(6×104)(5 \times 10^7)(6 \times 10^4) and write in scientific notation.

Example 5

medium
Express 0.00002×300000.00002 \times 30000 in scientific notation.

Example 6

medium
The mass of the Earth is 5.97×10245.97 \times 10^{24} kg. The mass of the Moon is 7.35×10227.35 \times 10^{22} kg. How many times heavier is the Earth than the Moon?

Example 7

medium
Multiply: (4.5×10−2)(6×108)(4.5 \times 10^{-2})(6 \times 10^{8}) and normalize.

Example 8

medium
Subtract: 7.5×106−5×1057.5 \times 10^6 - 5 \times 10^5.

Example 9

easy
Write (4×102)(2×103)(4 \times 10^2)(2 \times 10^3) in scientific notation.

Example 10

easy
Add: 3×105+4×1053 \times 10^5 + 4 \times 10^5.

Example 11

easy
Write 4.2×1034.2 \times 10^3 as a decimal.

Example 12

medium
Compute (3×104)2(3 \times 10^4)^2 in scientific notation.

Example 13

easy
Write 0.000560.00056 in scientific notation.

Example 14

easy
Subtract: 8×104−5×1048 \times 10^4 - 5 \times 10^4.

Example 15

hard
A computer performs 2.5×1092.5 \times 10^9 operations per second. How many operations in 4.0×10−34.0 \times 10^{-3} seconds?

Example 16

easy
Multiply: (5×106)(1×10−2)(5 \times 10^6)(1 \times 10^{-2}).

Example 17

medium
Compute (2×10−3)3(2 \times 10^{-3})^3 in scientific notation.

Example 18

hard
Compute (6×104)(2×10−1)4×102\dfrac{(6 \times 10^4)(2 \times 10^{-1})}{4 \times 10^2}.

Example 19

easy
Divide: 6×1073×102\dfrac{6 \times 10^7}{3 \times 10^2}.

Example 20

challenge
Compute (4×10−6)28×10−9\dfrac{(4 \times 10^{-6})^2}{8 \times 10^{-9}} in scientific notation.
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