Grade 8 · Math

8th grade Calculate and solve problems with scientific notation worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Calculate and solve problems with scientific notation

Grade 8 Math Worksheet - Building Confidence

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

(3 × 2) × (10^4 × 10^5). Multiply the first parts; join the strips of tens. Ari's worksheet asks for (3 × 10^4) × (2 × 10^5), with the parts grouped. What is the product in scientific notation?
(1.5 × 3) × (10^2 × 10^7). Multiply the first parts; join the strips of tens. Esme's worksheet asks for (1.5 × 10^2) × (3 × 10^7), with the parts grouped. What is the product in scientific notation?
In math club, Jun multiplies (2 × 10^3) × (4 × 10^2). What is the product in scientific notation?
In math club, Kira multiplies (1.2 × 10^5) × (4 × 10^3). What is the product in scientific notation?
In math club, Luz multiplies (3 × 10^2) × (3 × 10^6). What is the product in scientific notation?
In math club, Noah divides (8 × 10^10) ÷ (2 × 10^5). What is the quotient in scientific notation?
In math club, Pia divides (6 × 10^9) ÷ (2 × 10^3). What is the quotient in scientific notation?
Two libraries hold 2.1 × 10^5 and 3.4 × 10^5 books. Ren adds them. What is the total in scientific notation?
Two forests have 4.2 × 10^6 and 1.5 × 10^6 trees. Tala adds them. What is the total in scientific notation?
Two towns have 3.3 × 10^4 and 2.4 × 10^4 people. Zee adds them. What is the total in scientific notation?

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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