Question

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

• A. 70000
• B. 75142
• C. 69993
• D. 51493
• E. 64851

Hint:

Local value = digit × place value (10ⁿ for the position). Face value is the digit itself.

Answer 1

The Correct Option is C

Step 1: Local value (place valu(e) of 7 in 32675149. The number is 3,26,75,149. 7 is in the ten-thousands place? Let's write: 32675149 = 3,26,75,149. Digits: 3(10⁷),2(10⁶),6(10⁵),7(10⁴),5(10³),1(10²),4(10¹),9(10⁰). So 7 is in the 10⁴ place.
Step 2: Place value of 7 = $7 \times 10000 = 70000$.
Step 3: Face value of 7 = 7.
Step 4: Difference = $70000 - 7 = 69993$.
Step 5: Final Answer: 69993.