Final answer:
To evaluate (6÷2)÷8, you first divide 6 by 2 to get 3, then multiply 3 by the reciprocal of 8 (1/8), resulting in 3/8 or 0.375 as the final answer.
Step-by-step explanation:
To evaluate the expression (6÷2)÷8, we need to perform two division operations in sequence. The first step is to divide 6 by 2, which gives us 3. Then, we divide this result by 8. When dividing by a number, we can also think of it as multiplying by the reciprocal of that number. In this case, dividing by 8 is the same as multiplying by 1/8. Therefore, our next step is to multiply 3 by 1/8.
Here is the process broken down:
- Divide 6 by 2: 6 ÷ 2 = 3.
- Multiply 3 by 1/8: 3 × 1/8 = 3/8.
- Convert 3/8 to a decimal if needed: 3 ÷ 8 = 0.375.
The final answer is 3/8 or 0.375 when expressed as a decimal.
When working with division and exponents, we often subtract the exponent of the divisor from the exponent of the dividend. However, in this simple division case without exponents, we just perform straight division.
Lastly, calculators can handle divisions and other arithmetic operations, but users must be careful about significant figures and the final form of their answers. With division, you must often make the decision of how many decimal places to include in your final answer.