Place-value basics — face value query: What is the face value of the digit 8 in the numeral 458926?

Introduction / Context:
Place-value problems often distinguish between a digit’s face value and its place value. The face value is simply the digit itself, regardless of its position in the number. This question checks that you can separate the two concepts without confusion.

Given Data / Assumptions:

• Number: 458926
• Digit of interest: 8
• Definition: face value equals the digit itself; place value equals the digit times its positional weight.

Concept / Approach:
Identify the requested type of value. For face value, ignore where the digit sits; you do not multiply by any power of 10. Only the raw digit matters. This is different from place (local) value, which would multiply by a power of 10 based on position.

Step-by-Step Solution:
1) Read the term carefully: “face value.”2) Extract the digit itself, which is 8.3) Do not apply any positional multiplier.4) Therefore, the face value is 8.

Verification / Alternative check:
Contrast with place value here: if we asked for the place value of the 8 in 458926, we would compute 8000 because the 8 is in the thousands place. That contrast confirms the interpretation.

Why Other Options Are Wrong:
8000: That is the place (local) value, not the face value.1000 and 458000: Unrelated to the requested face value definition.

Common Pitfalls:
Mixing face and place values, especially when the digit sits in a high place-value position. Always read whether the question asks for face value or place value.

Final Answer:
8