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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

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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

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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?

Solution

We will find the amount of olive oil in milliliters then convert to liters.

Triple 150 mL
Translate to algebra. 3 · 150 mL
Multiply. 450 mL
Convert to liters. 450 mL · 0.001 L 1 mL
Simplify. 0.45 L
Dena needs 0.45 liter of olive oil.
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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

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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

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Convert between u.s. and metric systems of measurement

Many measurements in the United States are made in metric units. A drink may come in 2-liter bottles, calcium may come in 500-mg capsules, and we may run a 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.

Solution

500 mL
Multiply by a unit conversion factor relating mL and ounces. 500 mL · 1 fl oz 30 mL
Simplify. 500 fl oz 30
Divide. 16.7 fl. oz.
The water bottle holds 16.7 fluid ounces.
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How many quarts of soda are in a 2-liter bottle?

2.12 quarts

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How many liters are in 4 quarts of milk?

3.8 liters

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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.

Solution

100 kilometers
Multiply by a unit conversion factor relating kilometers and miles. 100 kilometers · 1 mile 1.61 kilometers
100 · 1 mi 1.61 km
Simplify. 100 mi 1.61
Divide. 62 mi
It is about 62 miles to the next rest stop.
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The height of Mount Kilimanjaro is 5,895 meters. Convert the height to feet. Round to the nearest foot.

19,328 ft

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The flight distance from New York City to London is 5,586 kilometers. Convert the distance to miles. Round to the nearest mile.

3,470 mi

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Convert between fahrenheit and celsius temperatures

Have you ever been in a foreign country and heard the weather forecast? If the forecast is for 22 °C . What does that mean?

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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