When rounding a number to the nearest hundredth, look at the next column, the thousandths.
4* 10^(- 2)
Practice makes perfect
We want to round the number 0.037854921 to the nearest hundredth. Then we need to rewrite it as a single digit times a power of 10. Let's do it!
Rounding
We want to round the following value to the nearest hundredth.
0.037854921
To do so, let's take a look at the digit in the column to the right, the thousandths.
0.037854921
The number in the column is 7. Now, recall the rule for rounding.
If the number is 5 or more, round up.
If the number is 4 or less, round down.
This means we will be rounding up. Let's do that!
0.037854921 ≈ 0.04
Rewriting
This time we want to rewrite the following number as a product of a single digit and a power of ten.
0.04
For that, we will rewrite the number as its greatest place value times a power of 10. To find the exponent, we need to count the zeros in the number.
. 4
We see that there are 2 zeros in the number. Now, recall how the sign of the exponent changes for different numbers.
Numbers Greater Than 1
Numbers Less Than 1
positive (+)
negative (-)
Since the number is less than 1, the exponent is negative. This means that the exponent of 10 is - 2. We now have everything we need to rewrite our number.
0.04= 4* 10^(- 2)
