Digit Detective
In the number 4,582, what is the value of the digit 5?
500
What number is shown by this expanded form?
3,000 + 400 + 20 + 6
3,426
Which symbol makes the comparison true?
4,582 ___ 4,528
A. >
B. <
C. =
A. >
Round 4,682 to the nearest hundred.
4,700
A number is shown below.
308,054
Which statement about the number is true?
A. The digit 8 has a value of 8,000.
B. The digit 5 has a value of 500.
C. The digit 3 has a value of 30,000.
D. The digit 4 has a value of 40.
A. The digit 8 has a value of 8,000.
In the number 63,914, what digit is in the ten-thousands place?
6
Which expanded form matches 58,209?
A. 50,000 + 8,000 + 200 + 9
B. 50,000 + 8,000 + 20 + 9
C. 50,000 + 800 + 200 + 9
D. 5,000 + 8,000 + 200 + 9
A. 50,000 + 8,000 + 200 + 9
Which number is the greatest?
A. 36,418
B. 36,841
C. 36,184
D. 36,481
B. 36,841
Round 37,418 to the nearest thousand.
37,000
A student wrote the expanded form below.
(6 × 100,000) + (4 × 10,000) + (9 × 1,000) + (3 × 10) + (8 × 1)
Which number is represented by this expression?
A. 649,038
B. 649,308
C. 694,038
D. 604,938
A. 649,038
In the number 728,436, what is the value of the digit 2?
20,000
What number is shown by this expanded form?
600,000 + 40,000 + 7,000 + 300 + 80 + 1
647,381
Put the numbers in ascending order.
208,914 280,194 208,491 280,914
208,491 < 208,914 < 280,194 < 280,914
Which number rounds to 680,000 when rounded to the nearest ten thousand?
A. 684,921
B. 685,921
C. 674,921
D. 689,921
A. 684,921
Select all numbers that round to 530,000 when rounded to the nearest ten thousand.
A. 524,999
B. 525,000
C. 529,481
D. 534,999
E. 535,000
F. 539,201
B, C, and D
In the number 381,477, how does the value of the 7 in the tens place compare to the value of the 7 in the ones place?
The 7 in the tens place is 10 times greater than the 7 in the ones place.
Which expression correctly shows 683,407 in expanded form using multiplication?
A. (6 × 100,000) + (8 × 10,000) + (3 × 1,000) + (4 × 100) + (7 × 1)
B. (6 × 100,000) + (8 × 10,000) + (3 × 1,000) + (4 × 10) + (7 × 1)
C. (6 × 100,000) + (8 × 1,000) + (3 × 100) + (4 × 10) + (7 × 1)
D. (6 × 10,000) + (8 × 1,000) + (3 × 100) + (4 × 10) + (7 × 1)
A. (6 × 100,000) + (8 × 10,000) + (3 × 1,000) + (4 × 100) + (7 × 1)
Which statement is true?
A. 493,682 > 493,862
B. 706,105 < 760,015
C. 581,430 = 581,403
D. 829,219 < 829,129
B. 706,105 < 760,015
A student rounded 526,481 to the nearest ten thousand and got 520,000.
Is the student correct? Explain.
No, the student is not correct.
When rounding to the nearest ten thousand, look at the thousands digit.
In 526,481, the thousands digit is 6, so the ten-thousands digit rounds up.
526,481 rounds to 530,000.
A student says:
“The value of the 6 in 462,815 is 10 times the value of the 6 in 346,281.”
Is the student correct? Explain.
A. Yes, because the 6 in 462,815 has a value of 60,000 and the 6 in 346,281 has a value of 6,000.
B. Yes, because both numbers have a 6, so the values are equal.
C. No, because the 6 in 462,815 has a value of 6,000 and the 6 in 346,281 has a value of 60,000.
D. No, because the 6 in 462,815 is 100 times the value of the 6 in 346,281.
A. Yes, because the 6 in 462,815 has a value of 60,000 and the 6 in 346,281 has a value of 6,000.
In the number 444,209, how does the value of the 4 in the hundred-thousands place compare to the value of the 4 in the thousands place?
The 4 in the hundred-thousands place is 100 times greater than the 4 in the thousands place.
A student wrote 745,206 as:
(7 × 100,000) + (4 × 10,000) + (5 × 1,000) + (2 × 10) + (6 × 1)
Is the student correct? Explain why or why not.
The student wrote 2 × 10, which equals 20, but in 745,206, the 2 is in the hundreds place, so its value is 200.
The correct expanded form is:
(7 × 100,000) + (4 × 10,000) + (5 × 1,000) + (2 × 100) + (6 × 1)
The student’s answer would make the number 745,026, not 745,206.
Four students compared these numbers:
654,908 645,980 654,890 645,809
Mia says the numbers in ascending order are:
654,980 < 654,908 < 645,890 < 645,809
Is Mia correct? Explain.
No, Mia is not correct.
She used numbers that were not in the original list: 654,980 and 645,890.
The correct order from greatest to least is:
654,908 < 654,890 < 645,980 < 645,809
Select all numbers that round to 700,000 when rounded to the nearest hundred thousand.
A. 649,999
B. 650,000
C. 684,921
D. 749,999
E. 750,000
F. 799,999
B, C, and D
Which comparison shows that the value of the digit 7 in the first number is 1/10 the value of the digit 7 in the second number?
A. 572,408 and 527,408
B. 724,615 and 274,615
C. 384,729 and 387,429
D. 907,316 and 970,316
C. 384,729 and 387,429