Related questions with answers

Question

Make the following conversions:

a. 615 mg to g

b. 75 dL to mL

c. 0.95 km to cm

Solution

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a.\textbf{a.}

Recall that 1000 mg = 1 g so:

615 mg×1 g1000 mg=0.615 g615\text{ mg}\times\dfrac{1\text{ g}}{1000\text{ mg}}=\color{#c34632}0.615\text{ g}

b.\textbf{b.}

Recall that 10 dL = 1 L and 1000 mL = 1 L so:

75 dL×1 L10 dL×1000 mL1 L=7500 mL75\text{ dL}\times\dfrac{1\text{ L}}{10\text{ dL}}\times\dfrac{1000\text{ mL}}{1\text{ L}}=\color{#c34632}7500\text{ mL}

c.\textbf{c.}

Recall that 1 km = 1000 m and 100 cm = 1 m so:

0.95 km×1000 m1 km×100 cm1 m=95000 cm(1)0.95\text{ km}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{100\text{ cm}}{1\text{ m}}=\color{#c34632}95000\text{ cm}\color{white}\tag{1}

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