Exponents and Scientific Notation

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base number by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing very large or very small numbers in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you multiply numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, (2 x 10^3) x (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

To divide numbers in scientific notation, divide the coefficients and subtract the exponents. For example, (6 x 10^5) ÷ (2 x 10^2) = 3 x 10^(5-2) = 3 x 10^3.

Front

What is the standard form of 5.89 x 10^7?

Back

The standard form of 5.89 x 10^7 is 58,900,000.

Front

How do you add numbers in scientific notation?

Back

To add numbers in scientific notation, the exponents must be the same. If they are not, convert one number to have the same exponent as the other before adding the coefficients.

Front

What is the product of (1.17 x 10^4) and (9.2 x 10^-8)?

Back

The product is 1.08 x 10^-3.

Front

What is the sum of Earth’s mass (5.9 x 10^24 kg) and Venus’s mass (4.9 x 10^24 kg)?

Back

The combined mass is 10.8 x 10^24 kg or 1.08 x 10^25 kg.

Front

What is 9.19 x 10^6 in standard form?

Back

9.19 x 10^6 in standard form is 9,190,000.

Front

What is the difference between (9 x 10^11) and (6.4 x 10^10)?

Back

The difference is 8.36 x 10^11.