Place Value
What is the value of the digit 8 in 583,241?
80,000
68,421 ___ 68,241
A. <
B. >
C. =
B. >
Round 274,638 to the nearest thousand.
275,000
243,615 + 125,274 =
368,889
8,642 − 3,217 =
5,425
Write 704,306 in expanded form.
700,000 + 4,000 + 300 + 6
305,678 ___ 350,678
A. <
B. >
C. =
A. <
Round 531,249 to the nearest thousand.
531,000
356,782 + 241,659 =
598,441
54,321 − 27,658 =
26,663
In the number 626,415, what is the relationship between the two 6s? Explain.
The 6 in the hundred-thousands place is 10 times greater than the 6 in the ten-thousands place. The values are 600,000 and 60,000.
Which number is greater?
A. 476,219
B. 467,921
A. 476,219
Round 864,572 to the nearest thousand.
865,000
Estimate first, then solve:
267,845 + 314,276
Round each number to the nearest thousand.
Estimate: 268,000 + 314,000 = 582,000
705,214 − 286,759 =
418,455
Which number has a 7 worth 70,000?
A. 274,516
B. 427,516
C. 247,516
D. 42,751
A. 274,516
Put these numbers in order from least to greatest:
345,678 | 354,678 | 345,876 | 354,687
345,678 < 345,876 < 354,678 < 354,687
A student says:
72,481 rounds to 72,000 when rounded to the nearest thousand.
Is the student correct? Explain.
YES, the student is correct.
A school collected 3,875 cans during the first week and 4,625 cans during the second week. How many cans did they collect altogether?
8,500 cans
A student solves:
8,000 − 3,475 = 5,525
Is the student correct? If not, find the correct answer and explain what happened when regrouping across the zeros.
❌ No.
Correct answer: 4,525
The student did not regroup correctly across the zeros.
A student says, “In 505,505, both 5s have the same value because they are both 5.” Is the student correct? Explain.
No. The 5 in the hundred-thousands place is worth 500,000, while the 5 in the hundreds place is worth 500. The first 5 is 1,000 times greater than the second 5.
A student says:
608,421 > 680,421
Is the student correct? Explain which place-value digit helps you decide.
No. The numbers have the same hundred-thousands digit, but at the ten-thousands place, 0 is less than 8. Therefore:
608,421 < 680,421
A student says:
649,721 rounds to 650,000 when rounded to the nearest thousand.
Is the student correct? Explain.
the student IS correct!
A company shipped 246,785 packages in January and 358,649 packages in February. First, estimate the total by rounding each number to the nearest thousand. Then find the exact total. Is the exact answer reasonable?
Estimate: 247,000 + 359,000 = 606,000
Exact: 246,785 + 358,649 = 605,434
Yes, the exact answer is reasonable because it is close to the estimate.
A warehouse had 1,250,000 boxes. It shipped 486,759 boxes in January. How many were left?
763,241 boxes