Operations with Scientific Notation

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 ten.

Front

How do you convert a decimal number to scientific notation?

Back

To convert a decimal number to scientific notation, move the decimal point to the right or left until you have a number between 1 and 10. Count the number of places you moved the decimal point; this will be the exponent of 10. If you moved it to the left, the exponent is positive; if to the right, it is negative.

Front

Convert 0.0005 to scientific notation.

Back

5 x 10^-4

Front

What is the standard notation of 1.09 x 10^-4?

Back

0.000109

Front

How do you add or subtract numbers in scientific notation?

Back

To add or subtract numbers in scientific notation, they must have the same exponent. If they do not, convert one or both numbers to have the same exponent before performing the operation.

Front

Calculate the difference: (3.8 x 10^4) - (2 x 10^3).

Back

3.6 x 10^4

Front

How do you multiply numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.

Front

Multiply (2 x 10^3) by (1.9 x 10^2).

Back

3.8 x 10^5

Front

What is the correct scientific notation for the number 20350?

Back

2.035 x 10^4

Front

What is the rule for writing numbers in scientific notation?

Back

The coefficient must be greater than or equal to 1 and less than 10, and the exponent must be an integer.