7.1b 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 ten.

Front

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

Back

To convert from scientific notation to standard form, multiply the coefficient by 10 raised to the power indicated. For example, 2.08 x 10^2 = 208.

Front

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

Back

To convert from standard form to scientific notation, move the decimal point in the number until you have a coefficient between 1 and 10, and count the number of places you moved the decimal to determine the exponent of 10.

Front

What is the standard form of 8.317 x 10^6?

Back

8,317,000.

Front

What is the scientific notation for the number 0.00000707?

Back

7.07 x 10^-6.

Front

How do you determine the largest number among several numbers in scientific notation?

Back

To determine the largest number, compare the exponents first. The number with the largest exponent is the largest. If the exponents are the same, compare the coefficients.

Front

What is the scientific notation for 52,300,000?

Back

5.23 x 10^7.

Front

What is the standard form of 4.8 x 10^-6?

Back

0.0000048.

Front

What is the standard form of 3.1 x 10^-4?

Back

0.00031.

Front

What is the standard form of 9.2 x 10^-5?

Back

0.000092.