Multiplying and Dividing in 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, which must be between 1 and 10.

Front

What is the power of 10 in scientific notation?

Back

The exponent that indicates how many places to move the decimal point.

Front

Multiply: (9.4 x 10^6)(3.2 x 10^5)

Back

3.008 x 10^12

Front

Which of these numbers is NOT in scientific notation? 10 x 10^2

Back

10 x 10^2 is not in scientific notation because the coefficient (10) is not between 1 and 10.

Front

Solve: (6 x 10^6) / (2 x 10^3)

Back

3 x 10^3

Front

Multiply: (9.6 x 10^3) x (6.7 x 10^2)

Back

6.432 x 10^6

Front

Multiply: (5 x 10^10) x (3 x 10^7)

Back

1.5 x 10^18