1/2 Operations in Scientific Notation

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 result of (9 x 10^-6) * (3 x 10^-3)?

Back

2.7 x 10^-8.

Front

How do you add numbers in scientific notation with different exponents?

Back

Convert them to the same exponent before adding. For example, 4.1 x 10^5 + 5.5 x 10^6 = 5.91 x 10^6.

Front

What is the smallest number among 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, and 8.4 x 10^19?

Back

8.4 x 10^19.

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 convert 0.00045 into scientific notation?

Back

4.5 x 10^-4.

Front

What is the coefficient in the scientific notation 3.2 x 10^5?

Back

3.2.

Front

What is the exponent in the scientific notation 5.0 x 10^3?

Back

3.