Rounding to a Larger Place Value
Rounding to a Larger Place Value is a Grade 5 math skill in Eureka Math where students round multi-digit whole numbers and decimals to any specified place value by identifying the target digit, examining the next digit to the right, and applying the standard rounding rule. This skill is essential for estimation and for making real-world measurement and financial calculations manageable.
Key Concepts
Property When rounding a number to a place value greater than its largest place value, the number lies between 0 and 1 unit of that target place value. The lower bound for rounding is always 0.
Examples To round $87$ to the nearest hundred: $87$ has 0 hundreds, so it is between 0 hundreds ($0$) and 1 hundred ($100$). $$ \begin{array}{c|c|c|c} \text{Hundreds} & \text{Tens} & \text{Ones} & \text{Tenths} \\ \hline 0 & 8 & 7 & \\ & 8 & 7 & \\ & & 87 & \\ \end{array} $$.
To round $0.73$ to the nearest one: $0.73$ has 0 ones, so it is between 0 ones ($0$) and 1 one ($1$). $$ \begin{array}{c|c|c|c} \text{Ones} & \text{Tenths} & \text{Hundredths} & \text{Thousandths} \\ \hline 0 & 7 & 3 & \\ & 7 & 3 & \\ & & 73 & \\ \end{array} $$.
Common Questions
What are the steps for rounding to a larger place value?
Identify the digit in the place value you are rounding to. Look at the digit directly to its right. If that digit is 5 or more, increase the target digit by 1. If it is less than 5, keep the target digit the same. Replace all digits to the right of the target with zeros (or drop them for decimals).
How do you round 3.748 to the nearest tenth?
The tenths digit is 7. The digit to its right (hundredths) is 4, which is less than 5, so keep the tenths digit at 7 and drop the remaining digits. The answer is 3.7.
Why is rounding to a larger place value useful?
Rounding simplifies numbers for mental computation, estimation, and real-world contexts like rounding prices, measurements, or population figures to a convenient level of precision.
Is the rounding rule the same for whole numbers and decimals?
Yes. The same rule applies: look at the digit to the right of the target place and round up if it is 5 or more, or keep the target digit if it is less than 5.