The value of 2(256)-1/8isa)1b)2c)1/2d)none of theseCorrect answer is o...
Recognize that 256 equals 2⁸. Therefore, (256)-1/8 becomes (2⁸)-1/8, which simplifies to 2-1 or 1/2. Multiplying by 2 yields 2 × 1/2 = 1. Thus, option a is the correct answer.
The value of 2(256)-1/8isa)1b)2c)1/2d)none of theseCorrect answer is o...
Understanding the Expression
Let's break down the expression 2(256) - 1/8 step by step.
Step 1: Calculate 2(256)
- 2(256) means 2 multiplied by 256.
- This results in 512.
Step 2: Calculate 1/8
- 1/8 is a simple fraction that equals 0.125.
Step 3: Combine the Values
- Now, we need to subtract the value of 1/8 from 512.
- The operation looks like this: 512 - 0.125.
Step 4: Perform the Final Calculation
- To subtract, we can convert 512 into a decimal: 512.0.
- Now, perform the subtraction: 512.0 - 0.125 = 511.875.
Final Result
The final result is 511.875. However, the answer options provided do not seem to match this result. The correct choice, according to the problem statement, is option 'A'.
Clarification
- It's possible that there's a misunderstanding with the interpretation of the problem or the options provided.
- If the options are indeed limited to 1, 2, 1/2, or none of these, then none of them fit the actual calculated result of 511.875.
Conclusion
- If the answer is claimed to be option 'A', then there may be an error in the listed options or a misinterpretation of the question itself.
- Ensure to double-check the problem statement for accuracy.
This detailed breakdown clarifies how to arrive at the final value and discusses the significance of ensuring clear understanding of math problems.