SME
Grade 3 Math · Problem type
Round to the nearest hundred
Use this for “What is 274 rounded to the nearest hundred?”
Diagram
362 is 62 past 300 and 38 before 400.
62 is 50 or more, so it rounds up to 400.
This is an example. Type your own values to start a new problem.
Number
example
Hundred below
worked out (not typed)
Hundred above
worked out (not typed)
Rounded
calculated
Formulas
The hundred at or below 362 is 300
The hundred at or below the number = hundred below
300 + 100 = 400
Hundred below + 100 = hundred above
362 is between 300 and 400, so it rounds to 400
The nearer hundred = rounded
Assumptions
•
Find the hundreds just below and just above the number.
•
Round to the nearer one. 50 or more past the hundred rounds up.
Step-by-step
WE KNOW
Number: 362
FIND
hundred below, hundred above, rounded
Step 1 · Find hundred below
The hundred at or below 362 is ?
The hundred at or below the number = hundred below
Keep the hundreds. Make the other digits 0.
362 = 300 + 62
Hundred below = 300
Step 2 · Find hundred above
300 + 100 = ?
Hundred below + 100 = hundred above
The next hundred up is 100 more.
Hundred above = 400
Step 3 · Find rounded
362 is between 300 and 400, so it rounds to ?
The nearer hundred = rounded
Round to the nearer hundred. Halfway (50 past) or more rounds up.
From 300 to 362 is 62. From 362 to 400 is 38.
62 is 50 or more: round up to 400.
Every number from 350 to 449 rounds to 400.
Rounded = 400
Check
Put the numbers back in. Both sides should match.
The hundred at or below 362 is 300 ✓
300 + 100 = 400 ✓
362 is between 300 and 400, so it rounds to 400 ✓
Topic check
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