Place and face values — In the number 43836, find the sum of the place value and the face value of the digit 8. Show the intermediate identification of the place.

Introduction / Context:
This question reinforces how place value and face value interact. Many errors arise from mislocating the digit’s position from the right end of the number.

Given Data / Assumptions:

• Number: 43836.
• Digit of interest: 8.
• We need place value + face value.

Concept / Approach:
Face value is the digit itself. Place value is digit * positional weight. For hundreds place, the weight is 100. The sum is straightforward once the correct position is recognized.

Step-by-Step Solution:
Write positions from right: ones=6, tens=3, hundreds=8, thousands=3, ten thousands=4.Place value of 8 = 8 * 100 = 800.Face value of 8 = 8.Sum = 800 + 8 = 808.

Verification / Alternative check:
Express 43836 as 4*10000 + 3*1000 + 8*100 + 3*10 + 6. The 8-term confirms the hundreds place value 800; add the face value 8 to obtain 808.

Why Other Options Are Wrong:

• 88: Ignores hundreds place multiplier.
• 880 / 888 / 8008: Mix place and face incorrectly or add extra zeros.

Common Pitfalls:
Reading from the left instead of the right; assuming the 8 is in thousands; forgetting to add the face value after computing place value.

Final Answer:
808