basic

3 12 × 24 15 PO D 2 1 8

advance d

÷ 4 1 2

Convert Between Measurement Systems

You can multiply by fractions to convert between customary and metric units. The table below lists common customary and metric relationships.

Type of Measure Customary



Metric

Length Weight/Mass Capacity 1 inch (in.) ≈ 2.54 centimeters (cm) 1 foot (ft.) ≈ 0.30 meter (m) 1 yard (yd) ≈ 0.91 meter (m) 1 mile ≈ 1.61 kilometers (km) 1 pound (lb.) ≈ 453.6 grams (g) 1 pound (lb.) ≈ 0.4536 kilograms (kg) 1 ton (T) ≈ 907.2 kilograms (kg) 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)

Ex. 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

1 in × 2.54 cm 1 in cross cancel common units = 43.7388 cm 1 = 43.74 cm

Ex. Convert 5 kilometers to miles. Round to the nearest hundredth if necessary.

Since 1 mile ≈ 1.61 kilometers, multiply by 1 mi. 1.61 km 5 km 1 × 1 mi.

1.61

km cross cancel common units = 5 mi.

1.61

= 3.11 mi.

Whiteboard time What is the relationship between feet and meters? Write as a ratio.

1 ft .30m

Whiteboard time What is the relationship between cups and milliliters? Write as a ratio.

1 c 236.59mL

Whiteboard time 6 yd ≈ _____ m

5.46 m

Whiteboard time 1.6 cm ≈ _____ in

0.63 in

Whiteboard time 17 m ≈ _____ yd

18.68 yd