Rounding of 1.965 to the nearest tenths will give you 2.0.
When working on word problems, we are often asked to round to the nearest tenth. This can make a really long and possibly challenging answer easier to work with.
In order to round to the nearest tenth, we need to know where the tenths place is. Here is a visual look at place value:
Place Value Charts via kwout
The tenths place is to the right of the decimal point. Our rounded answer will stop at the tenths place. For 1.965 the number 9 is the tenths place.
We use the hundredths place to help us determine the value that needs to be in the tenths place. In our case 6 is the hundredths place.
If the value in the hundredths place is 5 or above "we give it a shove." If the value is 4 or below, "we let it go."
In this example, the number is 9, which is "5 or above." So we give it a shove. This means that we round it up from 9 to 10.
Let's stop and think about this for a second:
The 6 tells us to round up. However, when we round up the 9 becomes a 10. When this happens the 9 becomes a zero and the place to the left is one bigger.
The final answer is 2.0.
Tip! How do you round an integer like 723 to the nearest tenth? How about rounding a decimal number like 3.14159 to the nearest hundredth? Is rounding numbers ever actually useful in the real world? Keep on reading to find out at Quickanddirtytips.com.