Using Scientific Notation

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 x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 0.00045 to scientific notation.

Back

4.5 x 10^-5

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What is the scientific notation for 8,000,000?

Back

8 x 10^6

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Convert 1,000 to scientific notation.

Back

1 x 10^3

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What is the correct scientific notation for 0.0000002203?

Back

2.203 x 10^-7

Front

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

Back

2.035 x 10^4 is correct because the coefficient is between 1 and 10.

Front

Convert 17,300 to scientific notation.

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1.73 x 10^4

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What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

Convert 0.00000008025 to scientific notation.

Back

8.025 x 10^-8