Rounding the Same Number to Different Places
The same number can be rounded to different values depending on which place value you round to, each representing a different level of precision. This Grade 5 math skill from Eureka Math Chapter 3 covers place value and rounding decimal fractions.
Key Concepts
The result of rounding a number depends on the place value to which you are rounding. A single number can have multiple rounded values, each corresponding to a different place value and level of precision.
Common Questions
Why does a number round to different values at different places?
The digit you check to decide whether to round up or down changes depending on which place you are rounding to, so rounding 12.583 to the nearest tenth gives 12.6, but to the nearest hundredth gives 12.58.
How do you round 12.583 to different place values?
To the nearest ten it is 10, to the nearest one it is 13, to the nearest tenth it is 12.6, and to the nearest hundredth it is 12.58.
When would you need to round to different levels of precision?
The appropriate level of precision depends on context: a news headline might round a race time to the nearest second, while a scientific measurement might need precision to the nearest hundredth.
Which rounded value is most precise?
Rounding to a smaller place value such as hundredths gives a more precise result closer to the original number, while rounding to a larger place value such as tens gives a simpler but less precise result.