1/2 Operations 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., 4.5 x 10^3.

Front

How do you multiply numbers in scientific notation?

Back

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

Front

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

Back

2 x 10^3.

Front

How do you add numbers in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients. Example: (a x 10^n) + (b x 10^n) = (a+b) x 10^n.

Front

What is the result of 7.3 x 10^5 + 3.7 x 10^5?

Back

1.1 x 10^6.

Front

How do you subtract numbers in scientific notation?

Back

Make sure the exponents are the same, then subtract the coefficients. Example: (a x 10^n) - (b x 10^n) = (a-b) x 10^n.

Front

What is the result of (8.0 x 10^13) - (7.5 x 10^12)?

Back

7.25 x 10^13.

Front

How do you divide numbers in scientific notation?

Back

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

Front

What is the result of (9.6 x 10^-8) ÷ (2 x 10^-15)?

Back

4.8 x 10^7.

Front

What do you do to your exponents when you are dividing in scientific notation?

Back

Subtract the exponents.