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

### Concept & Logic "Local value" is a synonym for **place value**. The question requires finding the place value of a digit and subtracting its constant **face value**. ### Step-by-Step Solution **Given:** The numeral is $32675149$. We need the difference between the local (place) value and face value of the digit $7$. **Calculation:** 1. The digit $7$ is in the ten-thousands place (four digits follow it). Its local value is $70000$. 2. The face value of the digit $7$ is exactly $7$. 3. Calculate the difference: $$70000 - 7 = 69993$$ ### Exam Strategy & Shortcut When subtracting a single digit from a perfect power of 10 base (like $70000 - 7$), the last digits of the answer will always be derived from $100 - 7 = 93$. Quickly look for the option that ends in $93$. ### Common Pitfall Failing to recognize that "local value" means "place value." If you assume local value means face value, you get $7 - 7 = 0$, which isn't an option, causing unnecessary panic during an exam. ### Final Answer Therefore, the correct answer is **69993**.