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Mariella is $1.58$ meters tall. Her daughter is $75$ centimeters tall. How much taller is Mariella than her daughter? Write the answer in centimeters.
83 cm
The fence around Hank’s yard is $2$ meters high. Hank is $96$ centimeters tall. How much shorter than the fence is Hank? Write the answer in meters.
1.04 m
Dena’s recipe for lentil soup calls for $150$ milliliters of olive oil. Dena wants to triple the recipe. How many liters of olive oil will she need?
We will find the amount of olive oil in milliliters then convert to liters.
Triple 150 mL | |
Translate to algebra. | $3\xb7150\phantom{\rule{0.2em}{0ex}}\text{mL}$ |
Multiply. | $450\phantom{\rule{0.2em}{0ex}}\text{mL}$ |
Convert to liters. | $450\phantom{\rule{0.2em}{0ex}}\text{mL}\xb7\frac{0.001\phantom{\rule{0.2em}{0ex}}\text{L}}{1\phantom{\rule{0.2em}{0ex}}\text{mL}}$ |
Simplify. | $0.45\phantom{\rule{0.2em}{0ex}}\text{L}$ |
Dena needs 0.45 liter of olive oil. |
A recipe for Alfredo sauce calls for $250$ milliliters of milk. Renata is making pasta with Alfredo sauce for a big party and needs to multiply the recipe amounts by $8.$ How many liters of milk will she need?
2 L
To make one pan of baklava, Dorothea needs $400$ grams of filo pastry. If Dorothea plans to make $6$ pans of baklava, how many kilograms of filo pastry will she need?
2.4 kg
Many measurements in the United States are made in metric units. A drink may come in $\text{2-liter}$ bottles, calcium may come in $\text{500-mg}$ capsules, and we may run a $\text{5-K}$ race. To work easily in both systems, we need to be able to convert between the two systems.
[link] shows some of the most common conversions.
Conversion Factors Between U.S. and Metric Systems | ||
---|---|---|
Length | Weight | Volume |
$1$ in =
$2.54$ cm
$1$ ft = $0.305$ m $1$ yd = $0.914$ m $1$ mi = $1.61$ km $1$ m = $3.28$ ft |
$1$ lb =
$0.45$ kg
$1$ oz = $28$ g $1$ kg = $2.2$ lb |
$1$ qt =
$0.95$ L
$1$ fl oz = $30$ mL $1$ L = $1.06$ qt |
We make conversions between the systems just as we do within the systems—by multiplying by unit conversion factors.
Lee’s water bottle holds $500$ mL of water. How many fluid ounces are in the bottle? Round to the nearest tenth of an ounce.
500 mL | |
Multiply by a unit conversion factor relating mL and ounces. | $500\phantom{\rule{0.2em}{0ex}}\text{mL}\xb7\frac{1\phantom{\rule{0.2em}{0ex}}\text{fl oz}}{30\phantom{\rule{0.2em}{0ex}}\text{mL}}$ |
Simplify. | $\frac{500\phantom{\rule{0.2em}{0ex}}\text{fl oz}}{30}$ |
Divide. | $16.7\phantom{\rule{0.2em}{0ex}}\text{fl. oz.}$ |
The water bottle holds 16.7 fluid ounces. |
How many quarts of soda are in a $\text{2-liter}$ bottle?
2.12 quarts
The conversion factors in [link] are not exact, but the approximations they give are close enough for everyday purposes. In [link] , we rounded the number of fluid ounces to the nearest tenth.
Soleil lives in Minnesota but often travels in Canada for work. While driving on a Canadian highway, she passes a sign that says the next rest stop is in $100$ kilometers. How many miles until the next rest stop? Round your answer to the nearest mile.
100 kilometers | |
Multiply by a unit conversion factor relating kilometers and miles. |
$100\phantom{\rule{0.2em}{0ex}}\text{kilometers}\xb7\frac{1\phantom{\rule{0.2em}{0ex}}\text{mile}}{1.61\phantom{\rule{0.2em}{0ex}}\text{kilometers}}$
$100\xb7\frac{1\phantom{\rule{0.2em}{0ex}}\text{mi}}{1.61\phantom{\rule{0.2em}{0ex}}\text{km}}$ |
Simplify. | $\frac{100\phantom{\rule{0.2em}{0ex}}\text{mi}}{1.61}$ |
Divide. | 62 mi |
It is about 62 miles to the next rest stop. |
The height of Mount Kilimanjaro is $\mathrm{5,895}$ meters. Convert the height to feet. Round to the nearest foot.
19,328 ft
The flight distance from New York City to London is $\mathrm{5,586}$ kilometers. Convert the distance to miles. Round to the nearest mile.
3,470 mi
Have you ever been in a foreign country and heard the weather forecast? If the forecast is for $22\text{\xb0C}.$ What does that mean?
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