O5F2
Express your answer using two decimal places.
I got 118, but when I rounded it to 120 and made it 1.2*10^1, it said I was wrong. What did I do wrong?
nevermind, I realized my error
To express the number O5F2 in decimal form, you need to convert it from a hexadecimal (base-16) representation to decimal (base-10) representation.
Each digit in a hexadecimal number represents a multiple of a power of 16. Starting from right to left, the first digit represents 16^0, the second represents 16^1, the third represents 16^2, and so on.
For the given hexadecimal number O5F2:
- The rightmost digit, 2, represents 2 * 16^0 = 2 * 1 = 2.
- The second rightmost digit, F, represents 15 * 16^1 = 15 * 16 = 240.
- The third rightmost digit, 5, represents 5 * 16^2 = 5 * 256 = 1280.
- The leftmost digit, 0, represents 0 * 16^3 = 0.
Now, add all these values together:
2 + 240 + 1280 + 0 = 1522.
Therefore, the decimal representation of the hexadecimal number O5F2 is 1522.
When you rounded it to 120 and wrote it as 1.2*10^1, you made an error. Rounding 1522 to the nearest ten gives 1520, not 120. Additionally, expressing it as 1.2*10^1 implies that it is equal to 12, which is incorrect.
The correct answer, with two decimal places, is 1522.00.