Introduction to Place Value

Show your work for each problem.

1.
In the number , what position is the digit 5 in?
1. a)Thousands
2. b)Ones
3. c)Hundreds
4. d)Tens
Answer: Thousands
In , counting from the right: 3 is in ones, 4 is in tens, 8 is in hundreds, and 5 is in the thousands position.
2.
What is the value of the digit 7 in ?
Answer: 700
The 7 is in the hundreds position. .
3.
Which digit is in the tens place in ?
1. a)6
2. b)4
3. c)2
4. d)9
Answer: 2
From the right: 4 is in ones, 9 is in tens. So 9 is in the tens place.
4.
What is in standard form?
Answer: 4356
. This is the standard form of the number.
5.
How many times greater is the hundreds place than the ones place?
1. a)1000 times
2. b)2 times
3. c)10 times
4. d)100 times
Answer: 100 times
Ones = 1, Hundreds = 100. Since , the hundreds place is 100 times greater.
6.
Write in expanded form.
Answer: 7000 + 400 + 5
1. What is the value of the 7? 7000
2. What is the value of the 4? 400
3. What is the value of the 0? 0
4. What is the value of the 5? 5
7.
In which number does the digit 8 have the greatest value?
1. a)
2. b)
3. c)
4. d)
Answer:
In , the 8 is in thousands (8,000). In , it's in hundreds (800). In and , it's in tens (80) or ones (8). 8,000 is the greatest value.
8.
What number has 3 thousands, 0 hundreds, 9 tens, and 2 ones?
Answer: 3092
9.
Compare and . Which is greater?
Answer: 4732
1. Compare the thousands digits. Are they equal? yes
2. Compare the hundreds digits. Are they equal? yes
3. Compare the tens digits. Which is greater: 3 or 2? 3
4. So which number is greater? 4732
10.
What is the value of the underlined digit?
1. a)5
2. b)500
3. c)5000
4. d)50
Answer: 500
In : 8 is ones, 1 is tens, 5 is hundreds. So the underlined 5 has a value of .
11.
A number has 6 in the hundreds place and 2 in the ones place. The tens digit is 3 more than the ones digit. What is the number?
Answer: 652
1. What digit is in the hundreds place? 6
2. What digit is in the ones place? 2
3. The tens digit is 3 more than the ones digit. What is 2 + 3? 5
4. Put the digits together: hundreds, tens, ones. 652
12.
The digit 4 appears twice in a four-digit number. The 4 in the thousands place has a value that is how many times greater than the 4 in the tens place?
Answer: 100
4 in thousands place = . 4 in tens place = . . The thousands 4 is 100 times greater.
13.
Arrange these numbers from least to greatest: , , ,
Answer: 3098, 3809, 3890, 3908
1. All numbers start with 3. Which has the smallest hundreds digit? 3098
2. Of the remaining (3,908, 3,890, 3,809), which comes next? 3809
3. Of 3,908 and 3,890, which comes next? 3890
4. What is the final order? 3098, 3809, 3890, 3908
14.
What is the smallest four-digit number you can make using the digits 5, 0, 3, and 8 (each used exactly once)?
Answer: 3058
We can't put 0 first (that would make a 3-digit number). The smallest non-zero digit is 3. Then place 0, 5, 8 in order: 3,058.
15.
If you add 100 to the number , which digit(s) will change?
Answer: hundreds and thousands
1. What is ? 5056
2. What was the hundreds digit before? 9
3. What is the hundreds digit now? 0
4. Did any other digit change? Which one? thousands
16.
Which statement about place value is TRUE?
1. a)Moving a digit one place left multiplies its value by 10
2. b)The ones place has a value of 10
3. c)A 3-digit number is always greater than a 4-digit number
4. d)Zero never affects a number's value
Answer: Moving a digit one place left multiplies its value by 10
Each place to the left is worth 10 times more. Ones = 1, Tens = 10, Hundreds = 100. So moving left multiplies by 10. The other statements are false.