Converting Between Scientific Notation and Standard Form

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 is a number expressed in scientific notation?

Back

A number is expressed in scientific notation as a product of a number between 1 and 10 and a power of ten.

Front

Convert 0.0000002203 to scientific notation.

Back

2.203 x 10^-7

Front

Which of the following is correct scientific notation: 20.35 x 10^4, .2035 x 10^4, 2035^4, 2.035 x 10^4?

Back

2.035 x 10^4

Front

Identify the correct scientific notation for 0.567.

Back

0.567 can be written as 5.67 x 10^-1.

Front

Convert 0.000398 to scientific notation.

Back

3.98 x 10^-4

Front

What is the rule for the number of digits in front of the decimal in scientific notation?

Back

Only one non-zero digit can be in front of the decimal.

Front

Convert 4500 to scientific notation.

Back

4.5 x 10^3

Front

What is the standard form of 3.2 x 10^5?

Back

320000.

Front

How do you convert from scientific notation to standard form?

Back

Multiply the coefficient by 10 raised to the power indicated.