Scientific Notation Operations

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (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. For example, (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the area of a rectangle in scientific notation?

Back

Area = length x width. If length = 5 x 10^4 m and width = 6 x 10^3 m, then area = 30 x 10^7 m² or 3 x 10^8 m².

Front

How do you add numbers in scientific notation?

Back

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

Front

What is the result of (5.3 x 10^5) + (3.7 x 10^5)?

Back

9.0 x 10^5.

Front

What is the result of (9 x 10^-6) / (3 x 10^-3)?

Back

3 x 10^-3.

Front

How do you subtract numbers in scientific notation?

Back

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

Front

What is the result of (2.9 x 10^-9) - (1.7 x 10^-9)?

Back

1.2 x 10^-9.

Front

What is the average spending per student in the US in scientific notation?

Back

1.02 x 10^4 dollars.