Place value is the value of a digit based on its position within a number.
- In our number system (the decimal system), the value of a digit depends on where it is located in the number.
- Each place represents a different power of ten, which means the same digit can have different values depending on where it appears.
Solved Example
Question 1. What is the place value and face value of the digit 7 in the number 5789?
Solution:
- The place value of 7 in 5789 is in the hundreds place, so it is 7×100=700.
- The face value of 7 is 7.
Question 2. Write the number 6043 in expanded form.
Solution:
6043 can be written in expanded form as:
6000+0+40+3.
Question 3. What is the value of the digit 5 in the decimal number 8.572?
Solution:
The digit 5 is in the "tenths" place, so its value is 5×0.1=0.5.5×0.1=0.5.
Question 4. Place value of the number 8 in 4098 .
Solution:
Place value of 8 in 4098 is 8.
Question 5. What is the place value of the digit 9 in the number 6,294?
Solution:
The place value of 9 in 6,294 is in the tens place, so it is 9×10=90.9×10=90.
Question 6. In the number 8,964, what is the value of the digit 9?
Solution:
900 (since it is in the hundreds place).
Question 7. Express the decimal 0.908 in expanded form using place values.
Solution:
0.908 can be expressed in expanded form as:
(9×0.1)+(0×0.01)+(8×0.001)=0.9+0.008.
Question 8. Determine the place value of the digit 1 in the binary number 10101.
Solution:
- 1×24=16 (leftmost 1),
- 1×22=4,1×22=4,
- 1×20=1×20=1 (rightmost 1).
- In the binary number 10101, the digit 1 appears in several positions:
Question 9. How many tens are there in the number 3702?
Solution:
- There are 7×10=70 tens in the number 3702.
Question 10. What is the sum of the place values of all digits in the number 543?
Solution:
- Place value of 5 = 5×100=5005×100=500
- Place value of 4 = 4×10=404×10=40
- Place value of 3 = 3×1=33×1=3
- Sum = 500 + 40 + 3 = 543.
Place Value Worksheet
You can download this worksheet with answer key from following:
