Basic definition — In the number 942756, what is the face value of the digit 7? Recall that face value does not depend on position.
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A7
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B700
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C7000
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D70000
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E70
Answer
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