Scientific Notation Estimation and Context Worksheet
📝 Worksheet hard ⏱️ 20 minutes 10 problems
Scientific Notation Estimation and Context Worksheet
Grade 8 Mathematics LearnCrux.com
Name:
Date:
Directions
- Fill in each blank carefully.
- Circle or mark the best answer for each multiple-choice question.
- Match each prompt to the best option before writing your answer.
- Use the larger space to show your thinking on word problems.
1. Which quantity is larger?
2. Match the number to the best standard form: 4.5 x 10^4
Match with:
Answer:
3. 9.3 x 10^-4 in standard form is __.
4. A population is 3.1 x 10^6 and another is 3.1 x 10^5. The larger population is how many times as large?
5. Why is 7.2 x 10^3 a better way to write 7200 than 72 x 10^2?
6. Match the context to the best estimate: microscopic width
Match with:
Answer:
7. (4 x 10^5)(2 x 10^3) = __
8. Which estimate best matches 5.2 x 10^7?
9. A scientist records 6.0 x 10^-6 meters and 2.0 x 10^-6 meters. What is the total?
10. Why should students estimate before accepting a scientific-notation answer in context?
📋 Teacher Answer Key
1. 6.2 x 10^8
2. 45,000
3. 0.00093
4. 10 times
5. The coefficient stays between 1 and 10, so the number is in standard scientific notation
6. a number with a negative exponent
7. 8 x 10^8
8. about fifty million
9. 8.0 x 10^-6 meters
10. Estimation helps check whether the exponent and overall size fit the real situation