Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, making it easier to work with very large or very small numbers.

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 its left. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 0.000398 to scientific notation.

Back

3.98 x 10^-4

Front

Convert 2,500,000 to scientific notation.

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2.5 x 10^6

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Convert 12,000,000 to scientific notation.

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1.2 x 10^7

Front

Convert 0.004078 to scientific notation.

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4.078 x 10^-3

Front

Convert 186,000 to scientific notation.

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1.86 x 10^5

Front

What is the coefficient in scientific notation?

Back

The number that is multiplied by the power of 10, which must be greater than or equal to 1 and less than 10.

Front

What does the exponent in scientific notation indicate?

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The exponent indicates how many places the decimal point has been moved. A positive exponent means the number is large, while a negative exponent means the number is small.

Front

Write 0.25 in scientific notation.

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2.5 x 10^-1