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Scientific Notation Problem Solving
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Scientific Notation Problem Solving
Solve each problem. Show how you use the coefficients and powers of 10, and write each final answer in scientific notation unless the question asks otherwise.
Scientific Notation in Context
1.A radio signal travels about 1.5 × 10⁸ kilometers from a spacecraft to Earth. If the signal travels at 3.0 × 10⁵ kilometers per second, how many seconds does the trip take?
2.One grain of pollen is about 2.4 × 10⁻⁵ meters wide. What is the combined width of 3.5 × 10³ grains arranged edge to edge?
3.A tiny particle has a mass of 2.1 × 10⁻²⁷ grams. How many such particles have a combined mass of 8.4 × 10⁻²² grams?
Powers of Ten and Repeated Change
4.A data center has 6.2 × 10⁸ stored files. Each file uses an average of 1.5 × 10²⁴ bytes of storage across all copies and backups. What is the total storage used, in bytes?
5.A research culture begins with 4.5 × 10³ cells. The cells double at each growth cycle. How many cells are there after 5 cycles? Express your answer in scientific notation.
Explain Your Thinking
6.For the radio-signal problem, describe how you divided the numbers in scientific notation. Explain how the exponents helped you find the travel time.
7.A lab records the mass of a microscopic dust sample as 0.0000000048 grams. Write this measurement in scientific notation, and explain why that form is useful when comparing very small measurements.
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