Multiplying 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

What is the general form of scientific notation?

Back

The general form is a x 10^n, where 1 ≤ a < 10 and n is an integer.

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

What is the result of (2 x 10^3)(3 x 10^4)?

Back

6 x 10^7.

Front

What is the result of (5 x 10^2)(4 x 10^3)?

Back

20 x 10^5 or 2.0 x 10^6.

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 result of (8 x 10^5) / (2 x 10^2)?

Back

4 x 10^3.

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient must be between 1 and 10 to be in proper scientific notation.

Front

What is the result of (9.4 x 10^6)(3.2 x 10^5)?

Back

3.008 x 10^12.

Front

What is the result of (20 x 10^50) / (4 x 10^15)?

Back

5 x 10^35.