In this Grade 5 Eureka Math lesson from Chapter 3, students learn to round decimals to any place value — including tenths, hundredths, and thousandths — using place value charts and vertical number lines. The lesson builds on prior knowledge of decimal unit naming and the approximation symbol to develop fluency with rounding multi-digit decimals like 8.735 and 49.67 to a specified place. Students practice decomposing decimals and locating them between benchmarks on a number line to determine the nearest rounded value.
Section 1
Rounding Decimals with a Vertical Number Line
To round a number using a vertical number line, first find the two numbers it is between. Then find the middle point between those two numbers. Look at where your number is compared to the middle:
Section 2
Determine the Range of a Rounded Value
A number rounds to a value if it is between the halfway point just below and the halfway point just above . This means that if is at least the lower midpoint and less than the upper midpoint, it will round to .
Expand to review the lesson summary and core properties.
Section 1
Rounding Decimals with a Vertical Number Line
To round a number using a vertical number line, first find the two numbers it is between. Then find the middle point between those two numbers. Look at where your number is compared to the middle:
Section 2
Determine the Range of a Rounded Value
A number rounds to a value if it is between the halfway point just below and the halfway point just above . This means that if is at least the lower midpoint and less than the upper midpoint, it will round to .