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Scientific Notation Challenge Game
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Scientific Notation Challenge Game
Write numbers in scientific notation as a × 10ⁿ, where 1 ≤ a < 10. Show your working for calculation questions.
Convert and Identify
1.Write 0.0000834 in scientific notation.
2.Write 6.15 × 10⁵ as an ordinary decimal number.
3.Choose the expression that is correctly written in scientific notation.
- 34.1 × 10²
- 3.41 × 10³
- 0.341 × 10⁴
- 341 × 10¹
4.Express 7,260,000 in scientific notation.
5.Convert 9.3 × 10⁻³ to decimal form.
Compare, Calculate and Order
6.Which value is greater: 7 × 10⁻⁴ or 2 × 10⁻³? Explain how the powers of ten help you decide.
7.Multiply (4 × 10³) × (3 × 10⁵). Give your answer in scientific notation.
8.Divide (8 × 10⁷) ÷ (4 × 10²). Give your answer in scientific notation.
9.Arrange 2.6 × 10⁻², 5.1 × 10⁻³, 1.3 × 10⁻¹, and 8.4 × 10⁻³ from least to greatest. Plot them on the number line.
Scientific Notation in Context
10.A research team estimates that a deep-sea trench is 10,900 meters deep. Express this depth in scientific notation.
11.A dust particle measures about 3.2 × 10⁻⁵ meters across. Which task would most likely need a measurement this small?
- Finding the length of a football field
- Examining particles with a microscope
- Measuring a person's height
- Estimating the distance between cities
12.In two or three sentences, explain why scientific notation is useful for working with very large or very small measurements.
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