Basic definition — In the number 942756, what is the face value of the digit 7? Recall that face value does not depend on position.

Difficulty: Easy

Correct Answer: 7

Explanation:


Introduction / Context:
Face value versus place value is a foundational distinction in number systems. Face value is simply the digit itself regardless of where it sits in the number, whereas place value multiplies the digit by a positional weight.


Given Data / Assumptions:

  • Number: 942756.
  • Digit of interest: 7.
  • Task: report face value only.


Concept / Approach:
Face value of any digit d is d, independent of its position. Place value would consider its position, but that is not requested here.


Step-by-Step Solution:
Identify the digit: 7.Face value = 7.No further calculation is necessary because position is irrelevant for face value.


Verification / Alternative check:
Contrast with place value: in 942756, the 7 is in tens place? Actually positions from right are ones=6, tens=5, hundreds=7, thousands=2, ten thousands=4, hundred thousands=9. Place value would be 700, but the face value remains 7.


Why Other Options Are Wrong:

  • 700 / 7000 / 70000 / 70: These are place-value style answers or scaled versions, not the face value.


Common Pitfalls:
Confusing place value with face value; multiplying by positional weight even though the question explicitly asks for face value.


Final Answer:
7

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