Grade 7 Expanded Notation Worksheet
Practice worksheet for 7th graders on writing numbers in expanded notation, including decimals and powers of ten.
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Expanded Notation Practice
Name:
Date:
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Read each question carefully and write your answers in the space provided. Remember to use expanded notation with powers of ten for decimals.
Write each number in expanded notation using powers of ten.
1. 3,456 =
2. 82.17 =
3. 0.059 =
4. 1,200.3 =
5. 543,210.987 =
Write the standard form of each number.
6. (6 × 10³) + (2 × 10²) + (7 × 10¹) + (4 × 10⁰) =
7. (9 × 10¹) + (3 × 10⁰) + (5 × 10⁻¹) + (1 × 10⁻²) =
8. (1 × 10²) + (0 × 10¹) + (8 × 10⁰) + (0 × 10⁻¹) + (6 × 10⁻²) =
Determine if the expanded notation correctly represents the given number.
9. 789 = (7 × 10³) + (8 × 10²) + (9 × 10¹)
True
False
10. 10.45 = (1 × 10¹) + (0 × 10⁰) + (4 × 10⁻¹) + (5 × 10⁻²)
True
False
11. Which of the following is the correct expanded notation for 5,007.03?
(5 × 10³) + (7 × 10⁰) + (3 × 10⁻²)
(5 × 10⁴) + (7 × 10¹) + (3 × 10⁻¹)
(5 × 10³) + (7 × 10) + (3 × 10⁻²)
(5 × 10³) + (7 × 10⁰) + (3 × 10⁻¹)
12. What is the standard form of (2 × 10⁵) + (4 × 10³) + (5 × 10⁰)?
245
204,005
24,005
200,405
13. The diameter of Earth is approximately 12,742 kilometers. Write this number in expanded notation using powers of ten.