Ones, Tens, and Hundreds

Show your work for each problem.

1.
In the number 345, which digit is in the tens place?
1. a)3
2. b)34
3. c)4
4. d)5
Answer: 4
In 345, reading from right to left: 5 is in the ones place, 4 is in the tens place, and 3 is in the hundreds place.
2.
What is the value of the 7 in 472?
Answer: 70
The 7 is in the tens place, so its value is .
3.
What is 253 written in expanded form?
1. a)
2. b)
3. c)
4. d)
Answer:
In expanded form, we write each digit's value: 2 hundreds = 200, 5 tens = 50, 3 ones = 3. So .
4.
Write the number: 5 hundreds, 2 tens, 8 ones
Answer: 528
5 hundreds = 500, 2 tens = 20, 8 ones = 8. Adding them: .
5.
Which number has a 6 in the hundreds place?
1. a)642
2. b)624
3. c)246
4. d)462
Answer: 624
In 624, the 6 is the leftmost digit, which is the hundreds place. The 6 represents 600.
6.
In the number 707, what is the value of the digit 0?
Answer: 0
The 0 is in the tens place, so its value is . Zero as a placeholder has a value of 0, but it's important because it keeps the 7 in the hundreds place!
7.
Write 836 in expanded form.
Answer: 800 + 30 + 6
1. What is the value of the hundreds digit (8)? 800
2. What is the value of the tens digit (3)? 30
3. What is the value of the ones digit (6)? 6
4. Write in expanded form (use + signs) 800 + 30 + 6
8.
In which number does the digit 5 have the greatest value?
1. a)125
2. b)512
3. c)215
4. d)251
Answer: 512
In 512, the 5 is in the hundreds place, worth 500. In 125, 5 is worth 5. In 251 and 215, 5 is worth 50. So 512 gives the 5 its greatest value.
9.
Write the number for:
Answer: 469
. This is converting from expanded form back to standard form.
10.
What number is 10 more than 395?
Answer: 405
1. Adding 10 changes which digit? tens
2. What happens when 9 tens + 1 ten? 10
3. 10 tens = how many hundreds? 1
4. So what is 395 + 10? 405
11.
Write the number: 3 hundreds, 0 tens, 7 ones
1. a)37
2. b)370
3. c)3007
4. d)307
Answer: 307
3 hundreds = 300, 0 tens = 0, 7 ones = 7. The number is 307. Without the 0, we would write 37, which is wrong!
12.
How much greater is the value of the 4 in 423 than the value of the 4 in 142?
Answer: 360
1. What is the value of 4 in 423? 400
2. What is the value of 4 in 142? 40
3. How much greater is 400 than 40? 360
13.
A number has 6 hundreds, some tens, and 2 ones. If the number is 672, how many tens does it have?
Answer: 7
In 672, the digits are: 6 (hundreds), 7 (tens), 2 (ones). So it has 7 tens.
14.
The digit 8 appears twice in a 3-digit number. The 8 in the hundreds place is worth how many times more than the 8 in the ones place?
Answer: 100
1. What is the value of 8 in the hundreds place? 800
2. What is the value of 8 in the ones place? 8
3. 800 is how many times 8? 100
15.
Which statement about the number 555 is true?
1. a)All three 5s have the same value
2. b)The value of the first 5 is 10 times the value of the middle 5
3. c)The sum of all the digits is 555
4. d)The value of the middle 5 is 10 times the value of the last 5
Answer: The value of the middle 5 is 10 times the value of the last 5
In 555: first 5 = 500, middle 5 = 50, last 5 = 5. The middle 5 (50) is 10 times the last 5 (5), because . The first 5 is 10 times the middle 5, not the other way around.
16.
What 3-digit number has 9 ones, 0 tens, and the same digit in the hundreds place as in the ones place?
Answer: 909
1. What digit is in the ones place? 9
2. What digit is in the tens place? 0
3. What digit is in the hundreds place? 9
4. What is the complete number? 909