Powers of ten and scientific notation

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   “A: 3 × 10^6 B: 8 × 10^3 C: 5 × 10^6 D: 1.2 × 10^4” Tala's science notes list four numbers. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?

   B, D, A, C
2. 2.

   “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?

   C, B, D, A
3. 3.

   A leaf is 0.00034 m thick, and Kira pressed it flat in a book. How do you write 0.00034 in scientific notation?

   3.4 × 10^-4
4. 4.

   A shell is 0.038 m long, and Milo found it at the beach. How do you write 0.038 in scientific notation?

   3.8 × 10^-2
5. 5.

   Noah's phone calculator shows 45 × 10^3, but the first part has two digits. How do you write the same number in scientific notation?

   4.5 × 10^4
6. 6.

   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?

   3.5 × 10^4
7. 7.

   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?

   4 × 10^-3
8. 8.

   Tala's notebook shows a length of 62 × 10^-5 m, but the first part has two digits. How do you write the same number in scientific notation?

   6.2 × 10^-4
9. 9.

   Ari's quiz card shows 6.1 × 10^-3. A star sticker waits for the right choice. Which number is equal to 6.1 × 10^-3?

   • 0.0061
   • -0.0061
   • 6100
   • 0.00061
10. 10.

    Bo's robot prints 9.2 × 10^-4 and waits. Only one choice matches it. Which number is equal to 9.2 × 10^-4?

    • 92,000
    • 0.00092
    • 0.000092
    • -0.00092