SME
Grade 4 Math · Problem type
Round multi-digit numbers
Use this for “What is 47,382 rounded to the nearest thousand?”
Diagram
347,812 is 812 past 347,000 and 188 before 348,000.
812 is 500 or more, so it rounds up to 348,000.
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
347,812 rounded down to the 1,000s: 347,000
The number rounded down to the place = number below
347,000 + 1,000 = 348,000
Number below + place = number above
347,812 is between 347,000 and 348,000, so it rounds to 348,000
Number is between number below and number above, so it rounds to rounded
Assumptions
•
Pick the place: tens, hundreds, thousands, ten thousands or hundred thousands.
•
Find the numbers below and above in that place. Round to the nearer one.
•
Exactly halfway rounds up.
Step-by-step
WE KNOW
Number: 347,812
Place: 1,000
FIND
number below, number above, rounded
Step 1 · Find number below
347,812 rounded down to the 1,000s: ?
The number rounded down to the place = number below
Keep the digits from the place up. Make the smaller places 0.
347,812 = 347,000 + 812
Number below = 347,000
Step 2 · Find number above
347,000 + 1,000 = ?
Number below + place = number above
The next number in that place is one place-unit more.
Number above = 348,000
Step 3 · Find rounded
347,812 is between 347,000 and 348,000, so it rounds to ?
Number is between number below and number above, so it rounds to rounded
Halfway is half a place-unit past the number below. Below halfway rounds down.
Halfway is 347,500. 347,812 is at or past it → 348,000
Rounded = 348,000
Check
Put the numbers back in. Both sides should match.
347,812 rounded down to the thousands: 347,000 ✓
347,000 + 1,000 = 348,000 ✓
347,812 is between 347,000 and 348,000, so it rounds to 348,000 ✓
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Place value and rounding to one million
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