Worked example: Rounding decimals to nearest tenth
About this video
The video rounds 9.564 to the nearest tenth. It names the place values, sees that the choices are 9.5 or 9.6, then looks one place to the right (the hundredths digit, 6) and rounds up to 9.6.
You'll be able to
- find the tenths, hundredths and thousandths places in a decimal.
- round a decimal to the nearest tenth by looking at the hundredths digit.
Key words
- tenths place
- The first digit to the right of the decimal point.
- round up
- Go to the next higher value at the place you are rounding to.
- round down
- Keep the digit at the place you are rounding to and drop the rest.
Transcript
Round 9.564, or nine and five hundred sixty-four thousandths, to the nearest tenth. So let me write it a little bit larger, 9.564. And we need to round to the nearest tenth. So what's the tenth place? The tenths place is right here. This right here represents 5 tenths.
This is the ones place, this is the tenths place, this is the hundredths place, and this is the thousandths place right here. So we need to round to the nearest tenth. So if we round up, this will be 9.6. If we round down, this will be 9.5. And just like regular rounding, when we're not dealing with decimals, you move to one spot, or you look at one place to the right or one place lower, I guess, and you say is that 5 or larger?
If it is, you round up, if it isn't, you round down. 6 is definitely 5 or larger, so we want to round up. So this 9.564 becomes 9.6, or we can call this nine and six tenths. And then we're done!
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