7th Grade Math

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Convert Measurements

PART A BCD EF

Multi-Part

Lesson 1

GLE 0706.4.2

Apply proportionality to

converting among different

units of measurements to

solve problems involving

rates such as motion at a

constant speed.

GLE 0706.4.4 Understand

and use ratios, derived

quantities, and indirect

measurements. Also

addresses GLE 0706.1.7.

Main Idea

Convert units of

measure between the

customary and metric

systems.

Convert Between Systems

RACES Races are often measured in

kilometers. A 5K race is 5 kilometers.

1. How many meters long is
   the race?


2. One mile is approximately
   1.6 kilometers. About how
   many miles is the race?

To convert measures between customary units and metric units, use

the relationships below.

Customary and Metric Relationships

Type of Measure Customary Metric

Length

1 inch (in.) ≈ 2.54 centimeters (cm)

1 foot (ft) ≈ 0.30 meter (m)

1 yard (yd) ≈ 0.91 meter (m)

1 mile (mi) ≈ 1.61 kilometers (km)

Weight/Mass

1 pound (lb) ≈ 453.6 grams (g)

1 pound (lb) ≈ 0.4536 kilogram (kg)

1 ton (T) ≈ 907.2 kilograms (kg)

Capacity

1 cup (c) ≈ 236.59 milliliters (mL)

1 pint (pt) ≈ 473.18 milliliters (mL)

1 quart (qt) ≈ 946.35 milliliters (mL)

1 gallon (gal) ≈ 3.79 liters (L)

Convert Between Measurement Systems

Convert 17.22 inches to centimeters. Round to the nearest

hundredth if necessary.

Since 2.54 centimeters ≈ 1 inch, multiply by _2.54 cm

1 in.

.

17.22 ≈ 17.22 in. · _2.54 cm

1 in.

Multiply by _2.54 cm1 in.^. Divide out common units.

≈ 43.7388 cm Simplify.

So, 17.22 inches is approximately 43.74 centimeters.

Lesson 1D Convert Measurements 635

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