Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient (between 1 and 10) and a power of 10.

Front

How do you convert a large number to scientific notation?

Back

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the exponent of 10.

Front

How do you convert a small number to scientific notation?

Back

Move the decimal point to the right until only one non-zero digit remains to the left of the decimal. The exponent of 10 will be negative, indicating how many places the decimal was moved.

Front

What is the scientific notation for 564,000,000?

Back

5.64 x 10^8

Front

What is the scientific notation for 0.0000000000000913?

Back

9.13 x 10^-14

Front

What is the scientific notation for 0.000457?

Back

4.57 x 10^-4

Front

What is the rule for the first number in scientific notation?

Back

The first number must be greater than 1 and less than 10.

Front

What happens when you raise any number to the power of 0?

Back

Any number raised to the power of 0 equals 1.

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.