Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, e.g., 5.23 x 10^7.

Front

How do you convert a large number to scientific notation?

Back

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal, then count the number of places moved and use it as a positive exponent.

Front

How do you convert a small number to scientific notation?

Back

Move the decimal point to the right until only one non-zero digit remains to the left of the decimal, then count the number of places moved and use it as a negative exponent.

Front

Convert 52,300,000 to scientific notation.

Back

5.23 x 10^7.

Front

Convert 0.00000707 to scientific notation.

Back

7.07 x 10^-6.

Front

What is the standard form of 8.73 x 10^-4?

Back

0.000873.

Front

How do you convert scientific notation to standard form?

Back

Multiply the coefficient by 10 raised to the power indicated.

Front

Convert 7.113 x 10^7 to standard form.

Back

71,130,000.

Front

What is the purpose of scientific notation?

Back

To simplify the representation of very large or very small numbers.

Front

Arrange the following in order from least to greatest: 2.2 x 10^3, 310,000, 3.1 x 10^7, 216,000,000.

Back

2.2 x 10^3; 310,000; 3.1 x 10^7; 216,000,000.