4.1 Scientific Notation to Standard Form

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number (between 1 and 10) and a power of 10.

Front

How do you convert scientific notation to standard form?

Back

To convert scientific notation to standard form, multiply the number by 10 raised to the power indicated. If the exponent is positive, move the decimal point to the right; if negative, move it to the left.

Front

Convert 8 x 10^4 to standard form.

Back

80,000

Front

Convert 9.072 x 10^3 to standard form.

Back

9072

Front

Convert 7.1 x 10^4 to standard form.

Back

71,000

Front

Convert 9.5 x 10^{-3} to standard form.

Back

0.0095

Front

Convert 7.8 x 10^3 to standard form.

Back

7,800

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means to move it to the right, while a negative exponent means to move it to the left.

Front

What is the standard form of 1.5 x 10^2?

Back

150

Front

What is the standard form of 3.2 x 10^{-1}?

Back

0.32