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Math  /  Numbers & Operations

QuestionConvert the given unit of weight to the unit indicated. 540mg to g540mg=□g\begin{array}{r} 540 \mathrm{mg} \text { to } \mathrm{g} \\ 540 \mathrm{mg}=\square \mathrm{g} \end{array} □\square g

Studdy Solution

STEP 1

What is this asking? We need to change 540 milligrams (mg) into grams (g). Watch out! Remember, there are 1000 milligrams in a gram!
Don't mix up which is bigger.

STEP 2

1. Convert mg to g

STEP 3

There are **1000 mg** in **1 g**.
This means that 1 g=1000 mg1 \text{ g} = 1000 \text{ mg}.
We can write this as a **conversion fraction**: 1 g1000 mg\frac{1 \text{ g}}{1000 \text{ mg}}.
Notice how the fraction is equal to one!

STEP 4

We want to convert **540 mg** to grams.
We'll multiply our starting value by our **conversion fraction**.
Remember, multiplying by one doesn't change the *value* only the *units*:
540 mg⋅1 g1000 mg540 \text{ mg} \cdot \frac{1 \text{ g}}{1000 \text{ mg}}

STEP 5

Notice how we have *mg* on both the top and the bottom.
Since mgmg=1\frac{\text{mg}}{\text{mg}} = 1, we can simplify our units:
540 mg⋅1 g1000 mg=540⋅1 g1000=5401000 g540 \text{ mg} \cdot \frac{1 \text{ g}}{1000 \text{ mg}} = 540 \cdot \frac{1 \text{ g}}{1000} = \frac{540}{1000} \text{ g}

STEP 6

Now, let's divide **540** by **1000**:
5401000=0.54\frac{540}{1000} = 0.54

STEP 7

So, our **final answer** is 0.54 g0.54 \text{ g}.

STEP 8

540 mg=0.54 g540 \text{ mg} = 0.54 \text{ g}

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