Comparing Numbers
Which number is greater: 87,457 or 87,346?
87,457
Write fifty-five thousand, thirty-six in standard form.
55,036
How much is 80 one-thousands?
80,000
n 46,215, what is the value of the digit 6?
6,000
What is 10 times 6,000?
60,000
Write the missing digit that makes this statement true: 39,479 < 48,371
4
What number is made from 4 thousands, 13 hundreds, 6 tens, and 2 ones?
5,362
How much is 8 ten-thousands?
80,000
In 24,651, what is the value of the digit 6?
600
A digit 6 is worth 60 in one number and 6,000 in another. Which value is greater?
6,000
A museum recorded 46,280 visitors in Year 1. Year 2 had 4 ten-thousands, 62 hundreds, and 8 tens visitors. Which year had more visitors, or were the totals equal?
The totals were equal. Each year had 46,280 visitors
A place-value model has 7 thousand-cubes, 4 hundred-flats, 2 ten-rods, and 2 unit-cubes. Write the number in expanded form.
7,000 + 400 + 20 + 2
Are 80 one-thousands and 8 ten-thousands equal? Explain how you know.
Yes. Both equal 80,000
Compare the value of the 6 in 46,215 with the value of the 6 in 24,651. How many times as great is the first value?
10 times as great. The values are 6,000 and 600.
How many times as great is 6,000 as 60
100 times as great
Which number is greater than 67,736 but less than 67,763: 67,747, 67,773, 67,726, or 67,766?
67,747
Write 7,425 in two different ways using thousands, hundreds, tens, and ones. At least one way must use 10 or more of a unit.
7 thousands + 4 hundreds + 2 tens + 5 ones
74 hundreds + 2 tens + 5 ones
7 thousands + 24 tens + 5 ones
70 hundreds + 4 tens + 25 ones
A student says, “80 one-thousands is greater than 8 ten-thousands because 80 is greater than 8.” Is the student correct? Explain.
No. The units are different. 80 × 1,000 and 8 × 10,000 both equal 80,000.
In 54,218 and 25,481, what is the value of the 4 in each number? Is the 4 in 54,218 worth 10 times as much as the 4 in 25,481?
In 54,218, the 4 is worth 4,000. In 25,481, it is worth 400. Yes, 4,000 is 10 times 400.
n 72,418, the 7 is worth 70,000. In 27,841, the 7 is worth 7,000. How are the values related?
The 7 in 72,418 is worth 10 times as much.
A missing digit makes this comparison true: 39,479 < □8,371. What is the smallest digit that can go in the box? Explain why any smaller digit will not work.
4
With 4 in the ten-thousands place, 48,371 is greater than 39,479. Any smaller digit makes the ten-thousands digit 3 or less, so the number is not greater.
What is the value of 82 thousands, 21 hundreds, and 36 tens? Write the number in standard form.
84,560
Complete the comparison and explain: 6 ten-thousands ___ 60 one-thousands.
They are equal. Both equal 60,000.
A student says the 4 in 54,218 is worth 10 times as much as the 4 in 25,481. Explain why the student is correct using the place names of both 4s.
The 4 in 54,218 is in the thousands place and is worth 4,000. The 4 in 25,481 is in the hundreds place and is worth 400. Moving one place left makes the value 10 times as great.
A digit 6 has a value of 60 in one number and 6,000 in another. How many places did it shift, and how many times greater is its value?
It shifted two places to the left, and its value became 100 times greater.