Dividing and Multiplying Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. Example: (2 x 10^3) * (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. Example: (6 x 10^6) / (2 x 10^3) = 3 x 10^(6-3) = 3 x 10^3.

Front

What happens to the exponent when you divide by a number with a negative exponent?

Back

You subtract a negative, which increases the exponent. Example: 10^5 / 10^(-2) = 10^(5 - (-2)) = 10^(5 + 2) = 10^7.

Front

Evaluate: (4.5 x 10^3) * (2 x 10^2)

Back

9.0 x 10^5.

Front

Evaluate: (8 x 10^6) / (4 x 10^2)

Back

2 x 10^4.

Front

If the exponent is negative, what does it indicate about the number?

Back

It indicates that the number is a fraction or less than one.

Front

What is the result of multiplying a positive number by a negative exponent?

Back

The result is a smaller number, as it represents division by a power of ten.

Front

Evaluate: (3 x 10^4) * (5 x 10^3)

Back

15 x 10^7.

Front

Evaluate: (7 x 10^5) / (2 x 10^3)

Back

3.5 x 10^2.