Grade 8 · Math

8th grade Calculate and solve problems with scientific notation worksheet

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Calculate and solve problems with scientific notation

Grade 8 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Bo reads that light travels about 3 × 10^5 km each second. How far does it travel in 6 × 10^1 seconds, in scientific notation?
Esme reads that a heart beats about 1.2 × 10^5 times a day. How many beats is that in 3.65 × 10^2 days, in scientific notation?
Jun reads that about 8 × 10^9 people each take about 2.5 × 10^2 breaths in 15 minutes. How many breaths is that in all, in scientific notation?
Kira reads that the oceans hold about 1.4 × 10^21 liters of water and that 8 × 10^9 people live on Earth. How many liters is that per person, in scientific notation?
In Milo's notes, a dust speck is 6 × 10^-5 m across and a virus 8 × 10^-8 m. How many viruses fit across the speck, in scientific notation?
A city library has 6.4 × 10^6 pages of old newspapers. Noah scans 3 × 10^5 of them. How much is left, in scientific notation?
Pia reads that a forest has 5.2 × 10^7 trees, and 8 × 10^5 fall in a storm. How much is left, in scientific notation?
Ren's town lake holds 9.1 × 10^4 m³ of water, and 4.5 × 10^3 m³ flows out in a dry month. How much is left, in scientific notation?
9.
Tala reads that a seed is 4.5 × 10^-3 m long. Which length is the same, in a better-sized unit?
- 45 mm
- 4.5 mm
- 4.5 m
- 4.5 km
10.
Ari reads that a leaf is 2.3 × 10^-2 m wide. Which width is the same, in a better-sized unit?
- 2.3 km
- 2.3 cm
- 2.3 m
- 23 cm

Calculate and solve problems with scientific notation. Every version has 10 questions, and the answer key prints on the second page.

I can multiply and divide in scientific notation: work the first parts, add or subtract the exponents, then fix the first part.
I can add and subtract in scientific notation after matching the powers of ten.
I can read a calculator's 3.5E-5 and pick a unit that fits a size.

Standard: 8.EE.A.4

first part: The number before × 10: 3.2 in 3.2 × 10⁵.

match the powers: Rewrite one number so both have the same power of ten.

fix the first part: Move the point so the first part is between 1 and 10.

E on a calculator: "Times ten to the": 3.5E-5 = 3.5 × 10⁻⁵.

Your child multiplied the powers of ten's exponents. Multiplying powers of ten joins the strips, so the exponents add: 10^4 × 10^5 = 10^9.

Your child added the first parts when multiplying. In (3 × 10^4) × (2 × 10^5), multiply 3 × 2.

Your child divided the exponents. Dividing powers of ten cancels tens, so the exponents subtract: 10^8 ÷ 10^2 = 10^6.

What is the most common mistake with calculate and solve problems with scientific notation?

Your child multiplied the powers of ten's exponents. Multiplying powers of ten joins the strips, so the exponents add: 10^4 × 10^5 = 10^9.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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