4.1 Scientific Notation to 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

Convert 8.04 x 10^2 to standard form.

Back

804

Front

Convert 7.1 x 10^4 to standard form.

Back

71,000

Front

Convert 8.73 x 10^-4 to standard form.

Back

0.000873

Front

Convert 5.12 x 10^{-2} to standard form.

Back

0.0512

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 moves it to the right, while a negative exponent moves it to the left.

Front

What is the standard form of 3.5 x 10^1?

Back

35

Front

What is the standard form of 9.2 x 10^-3?

Back

0.0092

Front

How do you convert a number from scientific notation to standard form?

Back

Multiply the coefficient by 10 raised to the power of the exponent.