1/2 Operations in Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., 4.5 × 10^3.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. Example: (2 × 10^3) × (3 × 10^4) = 6 × 10^(3+4) = 6 × 10^7.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. Example: (8 × 10^5) ÷ (2 × 10^2) = 4 × 10^(5-2) = 4 × 10^3.

Front

What do you do to your exponents when you are adding in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients. Example: 2 × 10^3 + 3 × 10^3 = (2+3) × 10^3 = 5 × 10^3.

Front

Back

1.1 × 10^6.

Front

Back

5.91 × 10^6.

Front

What is the rule for adding numbers in scientific notation?

Back

Ensure the exponents are the same, then add the coefficients.

Front

What is the rule for multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

What is the rule for dividing numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Front

Back

3.75 × 10^2.