StudyWiz home
Sign inStart free

Scientific notation worksheet

Grade 8 math, Common Core 8.EE.A.4. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

By the StudyWiz teamUpdated October 23, 2026How we write our pages

NameDate

Scientific notation

Grade 8 math, Common Core 8.EE.A.4

Write in scientific notation or standard form, or calculate.

  1. 1.
    Write 7.9 × 10⁻⁷ in standard form.
  2. 2.
    Write 630,000 in scientific notation.
  3. 3.
    (8 × 10³)(3 × 10⁶)
  4. 4.
    Write 4.2 × 10⁻³ in standard form.
  5. 5.
    Write 9.9 × 10⁻⁴ in standard form.
  6. 6.
    How many times bigger is 2 × 10¹⁰ than 1 × 10⁸?
  7. 7.
    Write 4,900 in scientific notation.
  8. 8.
    Write 450,000 in scientific notation.
  9. 9.
    How many times bigger is 6 × 10⁶ than 3 × 10³?
  10. 10.
    (16 × 10⁸) ÷ (4 × 10⁴)
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Scientific notation

Grade 8 math. Each answer has a few worked steps, to help check the method as well as the answer.

  1. 1. 0.00000079

    Move the decimal point 7 places to the left

  2. 2. 6.3 × 10⁵

    Move the decimal point 5 places to the left

  3. 3. 2.4 × 10¹⁰

    8 × 3 = 2410³ × 10⁶ = 10⁹24 × 10⁹ = 2.4 × 10¹⁰

  4. 4. 0.0042

    Move the decimal point 3 places to the left

  5. 5. 0.00099

    Move the decimal point 4 places to the left

  6. 6. 200 times (2 × 10²)

    2 ÷ 1 = 210¹⁰ ÷ 10⁸ = 10²

  7. 7. 4.9 × 10³

    Move the decimal point 3 places to the left

  8. 8. 4.5 × 10⁵

    Move the decimal point 5 places to the left

  9. 9. 2,000 times (2 × 10³)

    6 ÷ 3 = 210⁶ ÷ 10³ = 10³

  10. 10. 4 × 10⁴

    16 ÷ 4 = 410⁸ ÷ 10⁴ = 10⁴

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About scientific notation

Scientific notation writes very large or very small numbers as a number from 1 to just under 10 times a power of 10: 45,000,000 = 4.5 × 10⁷ and 0.00032 = 3.2 × 10⁻⁴. The exponent counts how many places the decimal point moves. To multiply, multiply the front numbers and add the exponents.

Worked example 1

Write 5.6 × 10⁻⁴ in standard form.
  1. Step 1.Move the decimal point 4 places to the left

Answer: 0.00056

Worked example 2

(9 × 10⁹) ÷ (3 × 10³)
  1. Step 1.9 ÷ 3 = 3
  2. Step 2.10⁹ ÷ 10³ = 10⁶

Answer: 3 × 10⁶

Worked example 3

How many times bigger is 6 × 10¹⁰ than 1 × 10⁸?
  1. Step 1.6 ÷ 1 = 6
  2. Step 2.10¹⁰ ÷ 10⁸ = 10²

Answer: 600 times (6 × 10²)

Watch out for

  • The front number must be at least 1 and less than 10.
  • Big numbers get a positive exponent; numbers between 0 and 1 get a negative one.
  • After multiplying, fix the front number if it is 10 or more: 12 × 10⁵ is 1.2 × 10⁶.

Practice scientific notation online

On StudyWiz, your kid can practice scientific notation with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

More grade 8 math worksheets

More from Expressions and equations:

Other grade 8 topics:

See all 8th grade math worksheets, or switch to grade 6 or grade 7.

Keep reading

Try Wiz with tonight’s homework

Free to start, no card needed. Each kid gets 3 homework questions, 5 practice quizzes and 1 writing review a day on the free plan.

Start freeSee pricing