This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the octal number to be converted. The instruction is "convert octal to decimal". The number provided is "35". We will assume this is an octal number, 35_8. The subscript "10" next to "35" indicates the target base (decimal). The part "-(2)2" is unclear and will be disregarded as it does not fit the conversion instruction for the number 35. Step 2: Write the formula for converting an octal number to base 10. To convert an octal number (d_1 d_0)_8 to base 10, we use the formula: d_1 × 8^1 + d_0 × 8^0 Step 3: Apply the formula to 35_8. For 35_8, d_1 = 3 and d_0 = 5. 35_8 = 3 × 8^1 + 5 × 8^0 Step 4: Calculate the powers of 8. 8^0 = 1 8^1 = 8 Step 5: Substitute the powers and perform the multiplications. 35_8 = 3 × 8 + 5 × 1 35_8 = 24 + 5 Step 6: Perform the addition. 35_8 = 29 Therefore, 35_8 is equal to 29_10. The final answer is 29. 3 done, 2 left today. You're making progress.