Scientific Notation Operations

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number (between 1 and 10) and a power of ten.

Front

How do you convert a decimal number to scientific notation?

Back

To convert a decimal number to scientific notation, move the decimal point to the right or left until you have a number between 1 and 10. Count the number of places you moved the decimal point; this will be the exponent of 10. If you moved it to the left, the exponent is positive; if to the right, it is negative.

Front

What is the scientific notation for 0.0005?

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5 x 10^-4

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How do you multiply numbers in scientific notation?

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To multiply numbers in scientific notation, multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.

Front

What is the result of (2.1 x 10^2) × (3.0 x 10^4) in scientific notation?

Back

6.3 x 10^6

Front

How do you divide numbers in scientific notation?

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To divide numbers in scientific notation, divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the result of (6.9 x 10^7) / (2.3 x 10^-3) in scientific notation?

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3 x 10^10

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How do you add or subtract numbers in scientific notation?

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To add or subtract numbers in scientific notation, the exponents must be the same. If they are not, convert one of the numbers to have the same exponent as the other, then add or subtract the coefficients.

Front

What is the result of 5 x 10^8 - 3.4 x 10^8 in scientific notation?

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1.6 x 10^8

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What is the scientific notation for 5 x 10^12 divided by 2 x 10^6?

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2.5 x 10^6