Scientific Notation Test

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. It is written in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (a × 10^m)(b × 10^n) = (a × b) × 10^(m+n).

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How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 10^(m-n).

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What is the correct format for scientific notation?

Back

The coefficient must be between 1 and 10, followed by a power of ten. For example, 2.5 × 10^3 is correct, but 25 × 10^2 is not.

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How do you add numbers in scientific notation?

Back

Convert to the same power of ten, then add the coefficients. For example, 2.0 × 10^3 + 3.0 × 10^4 = 2.0 × 10^3 + 30.0 × 10^3 = 32.0 × 10^3.

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What is the smallest number among 1.3 × 10^20, 2.9 × 10^21, 9.5 × 10^32, and 8.4 × 10^19?

Back

8.4 × 10^19 is the smallest.

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Front

Which of the following is correct scientific notation: 20.35 x 10^4, .2035 x 10^4, 2035^4, 2.035 x 10^4?

Back

2.035 x 10^4 is correct.