Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, making it easier to work with very large or very small numbers.

Front

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

Back

Multiply the coefficient by 10 raised to the power indicated. For example, 3.5 x 10^2 = 350.

Front

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

Back

Move the decimal point in the number until only one non-zero digit remains to the left, then count the number of places moved and express it as a power of 10.

Front

What is the standard form of 7.8 x 10^-3?

Back

0.0078

Front

What is the scientific notation for 0.037?

Back

3.7 x 10^-2

Front

What is the scientific notation for 6,700?

Back

6.7 x 10^3

Front

What is the standard form of 2.08 x 10^2?

Back

208

Front

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

Back

0.000873

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 move to the right, and a negative exponent means move to the left.

Front

What is the coefficient in scientific notation?

Back

The coefficient is the number that is multiplied by the power of 10, and it must be greater than or equal to 1 and less than 10.