Scientific Notation

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 typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a number from standard form to scientific notation?

Back

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

Front

Convert 0.004078 to scientific notation.

Back

4.078 x 10^-3

Front

Convert 450,000 to scientific notation.

Back

4.5 x 10^5

Front

What is the product of (9.4 x 10^6) and (3.2 x 10^5)?

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3.008 x 10^12

Front

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 10.

Front

What is the simplified version of 8 x 10^6 and 0.5 x 10^6?

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4 x 10^6

Front

What is the quotient of (9.6 x 10^-8) and (2 x 10^-15)?

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4.8 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 significance of the exponent in scientific notation?

Back

The exponent in scientific notation indicates the number of places the decimal point has been moved. A positive exponent indicates a large number, while a negative exponent indicates a small number.