Scientific Notation and Sig Figs

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, e.g., 4.5 x 10^3.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to its left, then multiply by 10 raised to the number of places the decimal was moved.

Front

What is the scientific notation for 0.004078?

Back

4.078 x 10^-3.

Front

What is the scientific notation for 450,000?

Back

4.5 x 10^5.

Front

How many significant figures are in the number 0.024507400?

Back

8 significant figures.

Front

What are significant figures?

Back

Digits in a number that contribute to its precision, including all non-zero digits, zeros between significant digits, and trailing zeros in the decimal portion.

Front

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

Back

Count all non-zero digits, any zeros between them, and trailing zeros in the decimal part.

Front

Which of the following is correctly written in scientific notation: 8.2 x 10^2, 82 x 10^7, 3.45 x 9^4?

Back

8.2 x 10^2.

Front

What is the scientific notation for 0.000398?

Back

3.98 x 10^-4.

Front

What is the purpose of using scientific notation?

Back

To simplify the representation of very large or very small numbers, making them easier to read and work with.