Which values are equivalent to the target? 0.110^1, 1.005, 810^-2, 3/16

Check the final answer first, then review the worked steps.

Problem

Which values are equivalent to the target? 0.1*10^1, 1.005, 8*10^-2, 3/16

Answer

Option 1: 1, Option 2: 1.005, Option 3: 0.08, Option 4: 0.1875

Step-by-step solution

  1. Analyze the problem: The problem asks to identify values from the given options. Since the prompt is incomplete (it says 'Which values...', but the target value is missing from the image), I will evaluate each option to determine its decimal value so that they can be compared to any target value.

2. Evaluate Option 1: The expression is $0.1 \times 10^{1}$. Since $10^{1} = 10$, we calculate:
$$0.1 \times 10 = 1$$

3. Evaluate Option 2: The value is already given in decimal form:
$$1.005$$

4. Evaluate Option 3: The expression is $8 \times 10^{-2}$. Since $10^{-2} = \frac{1}{100} = 0.01$, we calculate:
$$8 \times 0.01 = 0.08$$

5. Evaluate Option 4: The expression is the fraction $\frac{3}{16}$. To convert this to a decimal, divide 3 by 16:
$$3 \div 16 = 0.1875$$

6. Summary of values:
- Option 1: $1$
- Option 2: $1.005$
- Option 3: $0.08$
- Option 4: $0.1875$