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 of the powers of 10.

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 (3 x 10^7) and (9 x 10^6)?

Back

2.7 x 10^14

Front

What is the product of (8.2 x 10^{-8}) and (1.1 x 10^4)?

Back

9.02 x 10^{-4}

Front

What is the coefficient in the scientific notation 4.5 x 10^3?

Back

4.5

Front

What is the exponent in the scientific notation 7.2 x 10^5?

Back

5

Front

When multiplying (a x 10^m) and (b x 10^n), what is the new exponent?

Back

m + n

Front

If you multiply (2 x 10^3) by (5 x 10^2), what is the result?

Back

1.0 x 10^6

Front

What happens to the exponent when you multiply (10^3) by (10^4)?

Back

You add the exponents: 3 + 4 = 7, so the result is 10^7.