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 convert a number from scientific notation to standard notation?

Back

Multiply the coefficient by 10 raised to the power indicated.

Front

Convert 3.5 x 10^4 to standard notation.

Back

35,000

Front

Convert 7.2 x 10^-2 to standard notation.

Back

0.072

Front

What does the exponent in scientific notation indicate?

Back

The number of places the decimal point moves; positive for large numbers and negative for small numbers.

Front

How do you compare two numbers in scientific notation?

Back

Compare the exponents first; the larger exponent indicates the larger number.

Front

Which is larger: 2.5 x 10^3 or 3.0 x 10^2?

Back

2.5 x 10^3 (which is 2500) is larger than 3.0 x 10^2 (which is 300).

Front

What is the standard form of 9.1 x 10^5?

Back

910,000

Front

What is the standard form of -4.2 x 10^-1?

Back

-0.42

Front

How do you express 0.00045 in scientific notation?

Back

4.5 x 10^-4