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Scientific Notation Operations Worksheet

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Scientific Notation Operations Worksheet

Show your working for each calculation. Write final answers in scientific notation, with a coefficient greater than or equal to 1 and less than 10.

Calculate with powers of ten

Multiply or divide the coefficients, then combine the exponents. For addition and subtraction, first express both terms using the same exponent.

1.Work out (4.5 × 10³) × (2 × 10⁵). Give your answer in scientific notation.

2.Calculate (8.4 × 10⁷) ÷ (2.1 × 10³). Express the result in scientific notation.

3.Add 3.6 × 10⁵ and 2.8 × 10⁵. Write the total in scientific notation.

4.Find the difference between 9.1 × 10⁻⁴ and 2.7 × 10⁻⁴. Give your answer in scientific notation.

5.Calculate 6.3 × 10⁶ + 4.2 × 10⁵. Show how you make the powers of ten match before adding.

Apply scientific notation

Use the information in each situation to set up and solve a calculation. Include units where relevant.

6.A radio signal travels about 1.8 × 10⁵ kilometres from a satellite to Earth. If the signal travels at 3.0 × 10⁵ kilometres per second, how many seconds does the journey take? Write the time in scientific notation.

7.A grain of pollen is about 4.8 × 10⁻⁵ metres wide. A bacterium is about 1.6 × 10⁻⁶ metres wide. How many times wider is the grain of pollen?

8.A proton has a mass of 1.67 × 10⁻²⁷ kg and a neutron has a mass of 1.68 × 10⁻²⁷ kg. Find their combined mass in scientific notation. Before calculating, state whether the total is closer to 10⁻²⁷ kg or 10⁻²⁶ kg, and briefly explain.

Check your understanding

Choose the best answer or show your reasoning. Take care to keep each final coefficient between 1 and 10.

9.What is (3.6 × 10⁻⁴) × (5 × 10⁷)?

1.8 × 10³
1.8 × 10⁴
1.8 × 10²
1.8 × 10¹¹

10.Which is the most reasonable estimate for (8.2 × 10⁷) ÷ (2.1 × 10³)?

About 4 × 10²
About 4 × 10³
About 4 × 10⁴
About 4 × 10¹⁰

11.Work out 2.6 × 10⁶ + 3.7 × 10⁵. Show how you rewrite one term so that the powers of ten match, then give the answer in scientific notation.

12.Complete this statement using these terms: coefficient, exponent. In 7.4 × 10⁶, 7.4 is the and 6 is the .

13.Complete this statement using the term for the factor made from 10 and an exponent. The factor 10⁶ is a .

14.Complete this statement: Rounding values to check whether a result is sensible is called .

15.The number line shows positions for powers of ten. Which marked value is one thousand times greater than 10⁻⁵?

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Scientific Notation Operations Worksheet

Scientific Notation Operations Worksheet

Calculate with powers of ten

Apply scientific notation

Check your understanding

3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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