Multiplying and Dividing With Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., a x 10^n.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents: (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents: (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the coefficient in scientific notation?

Back

The number in front of the power of 10, typically between 1 and 10.

Front

What is the power of 10 in scientific notation?

Back

The exponent that indicates how many times to multiply the coefficient by 10.

Front

Solve: (2 x 10^9) (4 x 10^-4)

Back

8 x 10^5

Front

Solve: (5.3 x 10^2) (1.0 x 10^2)

Back

5.3 x 10^4

Front

Solve: (2.2 x 10^5) (4.5 x 10^2)

Back

9.9 x 10^7

Front

What happens to the exponent when multiplying two numbers in scientific notation?

Back

The exponents are added together.

Front

What happens to the exponent when dividing two numbers in scientific notation?

Back

The exponent of the denominator is subtracted from the exponent of the numerator.