Operations with Scientific Notation

Front

What is scientific notation?

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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 10.

Front

How do you convert a standard number to scientific notation?

Back

To convert a standard number to scientific notation, move the decimal point in the number until only one non-zero digit remains to its left. Count the number of places the decimal has moved; this will be the exponent of 10. If you move the decimal to the left, the exponent is positive; if to the right, it is negative.

Front

Convert 450,000 to scientific notation.

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4.5 x 10^5

Front

What is the process for adding numbers in scientific notation?

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To add numbers in scientific notation, the exponents must be the same. If they are not, adjust one of the numbers so that the exponents match, then add the coefficients.

Front

How do you multiply numbers in scientific notation?

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To multiply numbers in scientific notation, multiply the coefficients and add the exponents.

Front

What is the result of multiplying 2 x 10^3 and 3 x 10^4?

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6 x 10^7

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 dividing 5 x 10^12 by 2 x 10^6?

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2.5 x 10^6

Front

Convert 8.317 x 10^6 to standard form.

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8,317,000

Front

How do you find the difference between two numbers in scientific notation?

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To find the difference, ensure the exponents are the same. If they are not, adjust one of the numbers. Then subtract the coefficients.