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Question
7 multiple choice 1 point make the following conversion (1g = 1000 mg) 9231 mg = ______ g 9.231 g 9231000 g 0.9231 g 92.31 g clear my selection
Step1: Recall the conversion factor
We know that \(1\,\text{g} = 1000\,\text{mg}\), so to convert milligrams to grams, we divide the number of milligrams by 1000.
Step2: Perform the conversion
We have \(9231\,\text{mg}\), so we calculate \(\frac{9231}{1000}\) g.
Dividing 9231 by 1000 gives \(9231\div1000 = 9.231\) (when dividing by 1000, we move the decimal point three places to the left). Wait, no, wait: 9231 divided by 1000. Let's do it correctly. 9231 mg to g: since 1 g = 1000 mg, then \(x\,\text{g}=\frac{9231\,\text{mg}}{1000\,\text{mg/g}}\). So \(9231\div1000 = 9.231\)? Wait, no, wait 9231 divided by 1000: 9231.0 divided by 1000 is 9.231? Wait, no, 1000 mg is 1 g, so to convert mg to g, we divide by 1000. So 9231 mg divided by 1000 is 9.231 g? Wait, no, wait 9231 divided by 1000: 9231 ÷ 1000 = 9.231? Wait, no, 1000 mg is 1 g, so 1 mg is \(10^{-3}\) g. So 9231 mg is \(9231\times10^{-3}\) g = 9.231 g? Wait, no, wait 9231 times 0.001 is 9.231? Wait, 9231 0.001: 9231 1e-3 = 9.231. Wait, but let's check the options. The options are 9.231 g, 9231000 g, 0.9231 g, 92.31 g. Wait, maybe I made a mistake. Wait, 1 g = 1000 mg, so to convert mg to g, divide by 1000. So 9231 mg / 1000 = 9.231 g? Wait, but let's check the decimal places. 9231 divided by 1000: moving the decimal three places left. 9231.0 → 9.231. So the first option is 9.231 g. Wait, but let's recheck. Wait, 1000 mg is 1 g, so 9231 mg is 9231/1000 g = 9.231 g. So the correct option is 9.231 g.
Wait, but wait, maybe I messed up. Let's do it again. 1 g = 1000 mg. So to convert mg to g, we use the formula: \( \text{grams} = \frac{\text{milligrams}}{1000} \). So for 9231 mg: \( \text{grams} = \frac{9231}{1000} = 9.231 \) g. So the first option is 9.231 g. So that's the correct answer.
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A. 9.231 g