Multiplying and Dividing 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 to scientific notation?

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To convert a 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 moved the decimal to the left, the exponent is positive; if to the right, it is negative.

Front

What is the correct scientific notation for the number 20500?

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2.05 x 10^4

Front

What does a positive exponent in scientific notation indicate about the original number?

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A positive exponent indicates that the original number was a really big number.

Front

What does a negative exponent in scientific notation indicate about the original number?

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A negative exponent indicates that the original number was a really small number.

Front

How would you write the number 0.0005 in scientific notation?

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0.0005 can be written as 5 x 10^-4.

Front

What is the rule for multiplying numbers in scientific notation?

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When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents.

Front

What is the rule for dividing numbers in scientific notation?

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When dividing numbers in scientific notation, you divide the coefficients and subtract the exponents.

Front

How do you express the number 1500000000 in scientific notation?

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1.5 x 10^9

Front

What is the scientific notation for the number 0.00000034?

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3.4 x 10^-7