Multiplying and Dividing with Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. For example, 3000 can be written as 3 x 10^3.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (2 x 10^3) * (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.

Front

What is the product of (2 x 10^9) and (4 x 10^-4)?

Back

8 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

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 product of (2.5 x 10^4) and (4 x 10^3)?

Back

1.0 x 10^8.

Front

What is the product of (9.4 x 10^6) and (3.2 x 10^5)?

Back

3.008 x 10^12.

Front

What is the product of (2.2 x 10^4) and (7.1 x 10^5)?

Back

1.562 x 10^10.

Front

What is the product of (3.4 x 10^5) and (1.2 x 10^-3)?

Back

4.08 x 10^2.

Front

What does the exponent in scientific notation represent?

Back

The exponent indicates how many times to multiply the base (10) by itself. For example, 10^3 means 10 x 10 x 10.

Front

What is the coefficient in scientific notation?

Back

The coefficient is the number in front of the power of ten. For example, in 3 x 10^4, 3 is the coefficient.