Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, making it easier to work with very large or very small numbers.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

What is the scientific notation for 0.000009?

Back

9 x 10^-6

Front

Convert 3.5 x 10^6 to standard notation.

Back

3,500,000

Front

What is the scientific notation for 0.216?

Back

2.16 x 10^-1

Front

Convert 0.0003 to scientific notation.

Back

3 x 10^-4

Front

What is the standard notation for 5.43 x 10^-7?

Back

0.000000543

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 move to the right, and a negative exponent means move to the left.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents of the powers of 10.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents of the powers of 10.