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Grade 8 Math: Properties of Exponents Applications & Orders of Magnitude

Grade 8 • Math • 10 minute practice

Name
Date
1.
What is an order of magnitude?
2.
Write 3,000 in scientific notation.
3.
Write 4.5 × 10⁴ in standard form.
4.
Which is larger: 2 × 10⁶ or 9 × 10⁵?
5.
About how many orders of magnitude between 10² and 10⁵?
6.
Simplify (10³)(10⁴).
7.
Simplify 10⁸ / 10³.
8.
Simplify (10²)³.
9.
Place on a magnitude ladder: 10⁻², 10⁰, 10³, 10⁶.
10.
Earth–Sun ~1.5 × 10¹¹ m. Write as order-of-magnitude ~10^?
11.
Compute (6 × 10⁻⁴)(2 × 10⁵).
12.
Explain why 9 × 10⁴ beats 1 × 10⁴ by less than an order of magnitude.

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