Final answer:
The numeral 436eight is converted to base ten by multiplying each digit by its corresponding place value in base eight (64, 8, and 1) and adding them together. The result is 286, so the correct answer is A. 286.
Step-by-step explanation:
To write the numeral 436 in base eight to base ten, we need to understand how place values work in base eight and then convert it to base ten (decimal).
The place values in base eight from right to left are the units place (8^0), the eights place (8^1), the sixty-fours place (8^2), and so on. So, to convert 436 in base eight to base ten, we multiply each digit by the base eight place value it represents and then add the results together:
- (4 × 64) + (3 × 8) + (6 × 1)
- (4 × 8^2) + (3 × 8^1) + (6 × 8^0)
- (4 × 64) + (3 × 8) + (6 × 1) = 256 + 24 + 6
- 286
Therefore, 436 in base eight is equal to 286 in base ten. The correct answer is A. 286.