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 the product of a number between 1 and 10 and a power of 10.

Front

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

Back

To convert from scientific notation to standard notation, multiply the number by 10 raised to the power indicated. For example, 4 x 10^5 = 4 * 100000 = 400000.

Front

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

Back

To convert from standard notation to scientific notation, move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this will be the exponent of 10.

Front

What is the standard notation of 3.78 x 10^-5?

Back

0.0000378.

Front

What is the scientific notation of 0.00000089?

Back

8.9 x 10^-7.

Front

What is the scientific notation of 570,000,000?

Back

5.7 x 10^8.

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 the decimal to the right, while a negative exponent means to move it to the left.

Front

Convert 8 x 10^2 to standard notation.

Back

800.

Front

What is the purpose of using scientific notation?

Back

Scientific notation simplifies the representation of very large or very small numbers, making calculations and comparisons easier.

Front

What is the range of the coefficient in scientific notation?

Back

The coefficient in scientific notation must be greater than or equal to 1 and less than 10.