Multiplying Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

How do you convert a number to scientific notation?

Back

To convert a number to scientific notation, move the decimal point to create a number between 1 and 10, and count the number of places moved to determine the exponent of 10.

Front

What is the general form of scientific notation?

Back

The general form of scientific notation is a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you multiply two numbers in scientific notation?

Back

To multiply two numbers in scientific notation, multiply the coefficients and add the exponents of the powers of 10.

Front

What is the product of (3.4 x 10^3) and (2.2 x 10^2)?

Back

The product is (3.4 x 2.2) x 10^(3+2) = 7.48 x 10^5.

Front

What happens to the exponent when you multiply numbers in scientific notation?

Back

When multiplying, you add the exponents of the powers of 10.

Front

What is the result of (5 x 10^3) * (2 x 10^2)?

Back

The result is (5 * 2) x 10^(3+2) = 10 x 10^5 = 1.0 x 10^6.

Front

How do you change a number like 14.65 x 10^6 to scientific notation?

Back

Move the decimal point one place to the left to get 1.465 x 10^7.

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient must be between 1 and 10 to be in proper scientific notation.

Front

What is the result of multiplying (8.2 x 10^-8) and (1.1 x 10^4)?

Back

The result is (8.2 * 1.1) x 10^(-8+4) = 9.02 x 10^-4.