SME
Grade 5 Math · Problem type
Round decimals
Use this for “Round 4.268 to the nearest hundredth.”
Diagram
4.268 is 0.008 past 4.26 and 0.002 before 4.27.
0.008 is 0.005 or more, so it rounds up to 4.27.
This is an example. Type your own values to start a new problem.
Number
example
Place
example
Number below
worked out (not typed)
Number above
worked out (not typed)
Rounded
worked out (not typed)
Formulas
4.268 rounded down to the 0.01s: 4.26
The number rounded down to the place = number below
4.26 + 0.01 = 4.27
Number below + one of the place = number above
4.268 is between 4.26 and 4.27, so it rounds to 4.27
The nearer of the two = rounded
Assumptions
•
Find the numbers below and above in that place. Round to the nearer one.
•
Look at the digit one place to the right: 5 or more rounds up.
•
Numbers to 99.999; round to ones, tenths or hundredths.
Step-by-step
WE KNOW
Number: 4.268
Place: 0.01
FIND
number below, number above, rounded
Step 1 · Find number below
4.268 rounded down to the hundredths: ?
The number rounded down to the place = number below
Keep the digits to the hundredths; drop the rest.
Number below = 4.268 rounded down to the hundredths
Number below = 4.26
Step 2 · Find number above
4.26 + 0.01 = ?
Number below + one of the place = number above
The next number in that place is one more of it.
4
.
2
6
+
0
.
0
1
4
.
2
7
Number above = 4.27
Step 3 · Find rounded
4.268 is between 4.26 and 4.27, so it rounds to ?
The nearer of the two = rounded
Halfway is half of the place past the number below. Below halfway rounds down.
Halfway is 4.265. 4.268 is at or past it → 4.27
Rounded = 4.27
Check
Put the numbers back in. Both sides should match.
4.268 rounded down to the 0.01s: 4.26 ✓
4.26 + 0.01 = 4.27 ✓
4.268 is between 4.26 and 4.27, so it rounds to 4.27 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
Refresh
Related lessons
Place value patterns and powers of 10
Main lesson
Place value patterns with decimals
Use this for “Write a multiplication equation relating 0.8 and 0.08,” or 3.45 × 10².
Decimals to thousandths
Use this for “What is the value of the 3 in 4.263?”
Compare decimals
Use this for “Which is greater, 0.307 or 0.37?” with >, < or =.
Convert metric units
Use this for “A trail is 12 kilometers long. How many meters is that?”