Rounding Rules
When rounding a number, what do you do if the digit to the right is 5 or greater?
Answer: Round up.
What is the value of the 7 in 47,215?
Answer: 7,000
Round 4,682 to the nearest hundred.
Answer: 4,700
A school sold 2,487 tickets to its fall festival. About how many tickets were sold, rounded to the nearest hundred?
Answer: 2,500 tickets
Which is greater?
45,892 or 45,829
Answer: 45,892
Which digit tells you whether to round 63,482 up or down to the nearest thousand?
Answer: The hundreds digit (4).
In 386,421, which digit is in the ten-thousands place?
Answer: 8
Round 36,428 to the nearest thousand.
Answer: 36,000
A concert sold 48,721 tickets. The organizers want to tell the news approximately how many tickets were sold. Which is the best estimate?
A. 48,700
B. 49,000
C. 50,000
D. 100,000
Answer: 49,000
Put these numbers in order from least to greatest:
54,209 • 54,920 • 50,429
Answer: 50,429; 54,209; 54,920
A student rounds 47,650 to the nearest thousand and gets 47,000. Is the student correct? Explain.
Answer: No. The hundreds digit is 6, so 47,650 rounds to 48,000.
In 525,842, how many times greater is the value of the 5 in the hundred-thousands place than the 5 in the thousands place?
Answer: 100 times greater.
Round 167,892 to the nearest ten thousand.
Answer: 170,000
A stadium sold 63,482 tickets during one month. The manager wants an estimate that is easy to communicate but still gives a useful idea of attendance.
What is the best place to round to?
A. Ones
B. Tens
C. Thousands
D. Hundred-thousands
Answer: C — thousands
Which comparison is true?
A. 89,425 > 89,452
B. 304,921 < 304,912
C. 76,540 > 76,450
D. 125,800 < 125,080
Answer: C
Which number rounds to 70,000 when rounded to the nearest ten thousand?
A. 64,999
B. 65,001
C. 74,999
D. Both B and C
Answer: D
Which expression represents 406,072 in expanded form?
Answer: 400,000 + 6,000 + 70 + 2
Round 649,501 to the nearest hundred thousand.
Answer: 600,000
A theme park had 487,921 visitors last year. The owner wants to say, “About _____ people visited last year.”
Which estimate makes the most sense for a general advertisement?
A. 487,920
B. 487,900
C. 488,000
D. 500,000
Answer: D — 500,000, because a broad yearly estimate can reasonably be rounded to the nearest hundred thousand.
A number has:
What is the number?
Answer: 630,842
A number rounds to 300,000 when rounded to the nearest hundred thousand. Which could be the number?
A. 249,999
B. 251,430
C. 351,000
D. 199,999
Answer: B
The value of a digit is 30,000. The digit is 3. What place is it in?
Answer: Ten-thousands place.
Answer: Ten-thousands place.
Round 745,289 in TWO ways:
Answer: 750,000 and 700,000
Three schools sold tickets to a basketball tournament:
The principal wants to quickly compare the schools’ ticket sales without using exact numbers.
Which place would be most useful for rounding each number?
A. Ones
B. Tens
C. Thousands
D. Hundred-thousands
Answer: C — thousands. It simplifies the numbers while still preserving useful differences among the schools.
A museum had 286,741 visitors last year. Another museum had 294,318 visitors.
The director rounds both numbers to the nearest ten thousand before comparing them.
What are the rounded numbers, and which museum had the greater rounded attendance?
Answer:
286,741 → 290,000
294,318 → 290,000