Let's solve the problem step-by-step. ### Problem: If the weight of LDL cholesterol in a deciliter of blood measures **0.145 g**, what would that value be in **mg**? Include the unit in your answer. #### Step 1: **Recall the conversion factor** 1 gram (g) = 1000 milligrams (mg) #### Step 2: **Set up the conversion** Multiply the given value in grams by the conversion factor to get milligrams: \[ 0.145\, \text{g} \times 1000\, \frac{\text{mg}}{\text{g}} = 145\, \text{mg} \] #### Step 3: **Select the correct answer** From the given options: - 0.000145 mg - 145 mg - 1.45 mg - 14.5 mg **The correct answer is:** \[ \boxed{145\, \text{mg}} \]

Let's go through the problem carefully, step-by-step, including detailed calculations. --- ### **Problem Restatement:** The weight of LDL cholesterol in a deciliter (dL) of blood is **0.145 grams**. We are asked to convert this value into **milligrams (mg)**. --- ### **Step 1: Recall the conversion factor between grams and milligrams** - 1 gram (g) = 1000 milligrams (mg) --- ### **Step 2: Write the conversion mathematically** Given: \[ \text{Weight in grams} = 0.145\, \text{g} \] To convert grams to milligrams: \[ \text{Weight in mg} = 0.145\, \text{g} \times 1000\, \frac{\text{mg}}{\text{g}} \] --- ### **Step 3: Perform the calculation** \[ 0.145 \times 1000 = 145 \] So, \[ \boxed{0.145\, \text{g} = 145\, \text{mg}} \] --- ### **Final Answer:** **The weight of LDL cholesterol in a deciliter of blood is \(\boxed{145\, \text{mg}}\).** --- ### **Summary:** - 0.145 g = 145 mg - The correct option from the given choices is **145 mg**. Let me know if you'd like further clarification!

Certainly! Let's analyze each of the options provided and see why **145 mg** is correct, and why the others are not. --- ### **Given:** - LDL cholesterol in blood = **0.145 grams** ### **Conversion factor:** - 1 gram (g) = 1000 milligrams (mg) --- ### **Option 1: 0.000145 mg** - **Interpretation:** This is a very small amount, equivalent to 0.000145 mg. - **Conversion back to grams:** \[ 0.000145\, \text{mg} \div 1000 = 0.000000145\, \text{g} \] - **Conclusion:** This is **not** correct because the original amount is **0.145 g**, which is much larger than **0.000000145 g**. **Therefore, Option 1 is incorrect.** --- ### **Option 2: 145 mg** - **Interpretation:** Since 1 g = 1000 mg, \[ 0.145\, \text{g} \times 1000 = 145\, \text{mg} \] - **Conclusion:** This matches our conversion calculation exactly. **Option 2 is correct.** --- ### **Option 3: 1.45 mg** - **Interpretation:** This is a smaller amount, roughly 1/100th of 145 mg. **To check:** \[ 1.45\, \text{mg} \div 1000 = 0.00145\, \text{g} \] - **Comparison:** The original amount is **0.145 g**, which is **100 times larger** than **0.00145 g**. **Therefore, Option 3 is incorrect.** --- ### **Option 4: 14.5 mg** - **Interpretation:** This is 10 times less than 145 mg. **To verify:** \[ 14.5\, \text{mg} \div 1000 = 0.0145\, \text{g} \] - **Comparison:** The original amount is **0.145 g**, which is **10 times larger** than **0.0145 g**. **Therefore, Option 4 is incorrect.** --- ### **Summary:** | Option | Value | Explanation | Correct? | |---------|---------|--------------|----------| | 1 | 0.000145 mg | Much smaller than 0.145 g; incorrect | **No** | | 2 | 145 mg | Correct conversion from 0.145 g | **Yes** | | 3 | 1.45 mg | Too small; represents 0.00145 g | **No** | | 4 | 14.5 mg | Too small; represents 0.0145 g | **No** | --- ### **Final conclusion:** **The correct answer is: \(\boxed{145\, \text{mg}}\).**