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 small decimal number to scientific notation?

Back

Move the decimal point to the right until you have a number between 1 and 10, and count the number of places moved. The exponent will be negative.

Front

Convert 0.0003 to scientific notation.

Back

3 x 10^-4

Front

What is the standard notation of 4 x 10^-3?

Back

0.004

Front

Convert 5,890,000,000 to scientific notation.

Back

5.89 x 10^9

Front

What is the standard notation of 3.629 x 10^7?

Back

36,290,000

Front

Convert 9.31 x 10^-5 to standard notation.

Back

0.0000931

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.