the difference of place value and face value of 2 in the number of 23200 a. 0 b. 198 c. 1980 d. 19800

Solution:

In the number 23200 , the first two is in the ten-thousands place :

• Face Value of 2 = 2

• Place Value of 2 = 2 × 10,000 = 20,000

Difference = Place Value – Face Value
= 20,000 – 2 = 19,998

So none of the given options (a–d) are correct for this actual difference.

But if the question is referring to the second two (i.e., in hundreds place):

• Face Value = 2

• Place Value = 2 × 100 = 200

• Difference = 200 – 2 = 198

Correct Answer: b. 198

Watch this related video for better understanding:
https://youtu.be/580VBAJ1UHc?si=k9Kn5Iz2HPUTfLB5

Solution:

In the number 23200 , the first two is in the ten-thousands place :

• Face Value of 2 = 2

• Place Value of 2 = 2 × 10,000 = 20,000

Difference = Place Value – Face Value
= 20,000 – 2 = 19,998

So none of the given options (a–d) are correct for this actual difference.

But if the question is referring to the second two (i.e., in hundreds place):

• Face Value = 2

• Place Value = 2 × 100 = 200

• Difference = 200 – 2 = 198

Correct Answer: b. 198

Watch this related video for better understanding:
https://youtu.be/580VBAJ1UHc?si=k9Kn5Iz2HPUTfLB5

Option b that is 198.

Explanation: Place value= 200,Face value=2

Difference= 200-2=198.

Place value is the number multiplied with 100(since 2 is in hundred place) and face value is the number itself.

Another possible answer could have been 19998. That is 2 multiplied by 10000 to get the place value minus 2(face value) . But since it is not given in the options so we go with the first answer. Thank you.