Question

Which value is smaller - 0.00032 or 0.00204 - explain using scientific notation

Answer 1

The smaller value is 0.00032 (
`(3.2)(10^(-4))`)

Explanation:

1. You have the following values shown in the problem:

0.00032 and 0.00204

2. To write them in scientific notatio you must move the decimal point to the right until you have a non-zero number on the left of the decimal point.

3. Keeping this information on mind, you have:

`0.0032=(3.2)(10^(-4))\\0.00204=(2.04)(10^(-3))`

4. As you can see, the exponent -4 is smaller than the exponent -3, therefore, the smaller value is (
`(3.2)(10^(-4))`.