Grade 7 · Math

7th grade Powers of ten and scientific notation worksheet

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Powers of ten and scientific notation

Grade 7 Math Worksheet - Challenge Me

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

“A: 4 × 10^5 B: 9 × 10^2 C: 2.5 × 10^5 D: 7 × 10^3” Ren's science notes list four numbers. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?
“A: 4 × 10^-3 B: 6 × 10^-5 C: 2 × 10^-3 D: 9 × 10^-1” Zee's science notes list four numbers. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?
“A: 6 × 10^2 B: 2 × 10^-2 C: 4 × 10^-3 D: 1.6 × 10^1” Ari's science notes list four numbers. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?
“A: 0.0035 B: 2 × 10^-2 C: 9 × 10^-4 D: 5 × 10^-3” Esme's notes list four numbers, and one is not in scientific notation. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?
A leaf is 0.00034 m thick, and Kira pressed it flat in a book. How do you write 0.00034 in scientific notation?
A thin sheet of ice on a puddle is 0.0062 m thick, and Luz taps it gently. How do you write 0.0062 in scientific notation?
A shell is 0.038 m long, and Milo found it at the beach. How do you write 0.038 in scientific notation?
The TV screen in Pia's game room shows 0.35 × 10^5 points, but the first part is less than 1. How do you write the same number in scientific notation?
A butterfly's body is 0.4 × 10^-2 m wide, and Ren drew it carefully. The first part is less than 1. How do you write the same number in scientific notation?
10.
Zee needs the standard form of 3.4 × 10^-2. One choice is right and the others are sneaky. Which number is equal to 3.4 × 10^-2?
- 0.034
- -0.034
- 0.0034
- 340

7th grade Powers of ten and scientific notation worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Powers of ten and scientific notation. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can say 10^-3 is 1 divided by three tens, so it is 0.001, a small positive number.
I can change 4.5 × 10^3 to 4,500 and 0.0045 to 4.5 × 10^-3, with one digit before the point.
I can put numbers in scientific notation in order: the strip of tens first, the first parts only for ties.

Standard: state-only (CCSS 8.EE.A.3–4)

Words to know

power of ten: 10 multiplied by itself: 10^3 = 10 × 10 × 10.

negative power: 10^-3 is 1 divided by three tens. It is small, not below zero.

strip of tens: The tens written in a row. 10^4 is a strip of four tens.

first part: The number in front of the × 10, such as the 4.5 in 4.5 × 10^3.

scientific notation: A first part from 1 up to (not including) 10, times a power of ten.

standard form: The number written the usual way, such as 4,500 or 0.0045.

Common mistakes

Your child multiplied the exponent into the number (10^4 as 10 × 4 = 40, or 3 × 10^4 as 3 × 4 = 12). Write the power out as tens, 10 × 10 × 10 × 10, and multiply them all together.

Your child ended up with one zero too many (10^4 as 100,000, or 3 × 10^4 as 300,000, or 0.003 for 3 × 10^-2). Count one zero or one move of the point for each ten in the strip, and check the last one.

Your child treated a negative power of ten like a positive one (10^-3 as 1,000, or 4 × 10^-3 as 4,000). A minus sign puts the tens below a fraction bar: 10^-3 = 1 ÷ (10 × 10 × 10) = 0.001. Try 10^-2 together.

Questions parents ask

What is the most common mistake with powers of ten and scientific notation?

Your child multiplied the exponent into the number (10^4 as 10 × 4 = 40, or 3 × 10^4 as 3 × 4 = 12). Write the power out as tens, 10 × 10 × 10 × 10, and multiply them all together.

Are these 7th 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.

More grade 7 math

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