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 large number to scientific notation?

Back

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

Front

Convert 52,300,000 to scientific notation.

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5.23 x 10^7

Front

How do you convert a small number to scientific notation?

Back

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

Front

Convert 0.00000707 to scientific notation.

Back

7.07 x 10^-6

Front

What is the standard form of 7.8 x 10^-3?

Back

0.0078

Front

Convert 0.037 to scientific notation.

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3.7 x 10^-2

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 represent?

Back

The number of places the decimal point has been moved; positive for large numbers and negative for small numbers.

Front

Convert 0.00000045 to scientific notation.

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4.5 x 10^-7