Scientific Notation & Significant figures

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 form?

Back

To convert a number from scientific notation to standard form, multiply the coefficient by 10 raised to the power indicated. For example, 4.5 x 10^3 becomes 4500.

Front

What is the standard form of -5.6 x 10^-3?

Back

-0.0056

Front

How do you express a small decimal number in scientific notation?

Back

To express a small decimal number in scientific notation, move the decimal point to the right until you have a number between 1 and 10, and count the number of places you moved it. This count becomes the negative exponent of 10.

Front

Convert 0.000457 to scientific notation.

Back

4.57 x 10^-4

Front

What is the significance of a number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

How do you write 0.0000000000000913 in scientific notation?

Back

9.13 x 10^-14

Front

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

Back

8,317,000

Front

What are significant figures?

Back

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.

Front

How do you determine the number of significant figures in a measurement?

Back

To determine the number of significant figures, count all non-zero digits, any zeros between them, and any trailing zeros in the decimal part.