Scientific notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10.

Front

What is the general form of scientific notation?

Back

a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

What does a positive exponent indicate in scientific notation?

Back

The number is large and is multiplied by 10 raised to the power of the exponent.

Front

What does a negative exponent indicate in scientific notation?

Back

The number is small and is divided by 10 raised to the power of the absolute value of the exponent.

Front

Convert 5.67 x 10^3 to standard notation.

Back

5,670.

Front

Convert 3.2 x 10^-2 to standard notation.

Back

.032.

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient must be between 1 and 10 to maintain the standard form.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Front

What is the scientific notation for 0.00045?

Back

4.5 x 10^-4.