Question:medium

The difference between the local value and the face value of 7 in 32675149 is:

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Local value = digit × place value (10ⁿ for the position). Face value is the digit itself.
Updated On: Jun 15, 2026
  • 70000
  • 75142
  • 69993
  • 51493
  • 64851
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Understanding the Concept:
Face value is the digit itself. Local value (Place value) is the digit multiplied by its positional power of 10.
Step 2: Key Formula or Approach:
Place Value = Digit \(\times 10^n\).
Step 3: Detailed Explanation:
In 32675149:
1. Digit 7 is in the ten-thousands place (count from right: 9=ones, 4=tens, 1=hundreds, 5=thousands, 7=ten-thousands).
2. Local Value = \( 7 \times 10,000 = 70,000 \).
3. Face Value = 7.
4. Difference = \( 70,000 - 7 = 69,993 \).
Step 4: Final Answer:
The difference is 69993.
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