Answer :
Sure, I will explain how to find the difference between the place value of the digit 2 in the number 32692 and each of the given options. Let's proceed step by step.
### Step-by-Step Solution
1. Identify the Place Value of the Digit 2 in 32692:
- The number is 32692.
- The digit 2 is located in the tens place.
- Therefore, the place value of the digit 2 is 20.
2. Given Options:
- a) 1099
- b) 1998
- c) 2000
- d) 2002
3. Calculate the Differences:
- The aim is to find the difference between the place value of 2 (which is 20) and each of the given options.
- For option a) 1099:
[tex]\[ \text{Difference} = |1099 - 20| = 1079 \][/tex]
- For option b) 1998:
[tex]\[ \text{Difference} = |1998 - 20| = 1978 \][/tex]
- For option c) 2000:
[tex]\[ \text{Difference} = |2000 - 20| = 1980 \][/tex]
- For option d) 2002:
[tex]\[ \text{Difference} = |2002 - 20| = 1982 \][/tex]
### Results
After calculating the differences, we found:
- Difference for 1099 is 1079
- Difference for 1998 is 1978
- Difference for 2000 is 1980
- Difference for 2002 is 1982
This concludes the step-by-step solution to find the differences between the place value of the digit 2 in the number 32692 and each of the given options.
### Step-by-Step Solution
1. Identify the Place Value of the Digit 2 in 32692:
- The number is 32692.
- The digit 2 is located in the tens place.
- Therefore, the place value of the digit 2 is 20.
2. Given Options:
- a) 1099
- b) 1998
- c) 2000
- d) 2002
3. Calculate the Differences:
- The aim is to find the difference between the place value of 2 (which is 20) and each of the given options.
- For option a) 1099:
[tex]\[ \text{Difference} = |1099 - 20| = 1079 \][/tex]
- For option b) 1998:
[tex]\[ \text{Difference} = |1998 - 20| = 1978 \][/tex]
- For option c) 2000:
[tex]\[ \text{Difference} = |2000 - 20| = 1980 \][/tex]
- For option d) 2002:
[tex]\[ \text{Difference} = |2002 - 20| = 1982 \][/tex]
### Results
After calculating the differences, we found:
- Difference for 1099 is 1079
- Difference for 1998 is 1978
- Difference for 2000 is 1980
- Difference for 2002 is 1982
This concludes the step-by-step solution to find the differences between the place value of the digit 2 in the number 32692 and each of the given options.
