Bell Quiz

Objectives

• Convert a variety of units.

Using Unit Analysis to Convert Measures

• Unit analysis is a process for converting measures into different units.

• A unit ratio, or conversion factor, compares 2 measures that name the same amounts. (examples)

Example 1Converting Units of Length

A cheetah ran at a rate of 105,600 yards per hour. How fast did the cheetah run in miles per hour?

Lesson Practice

A Mourning Dove can reach speeds up to 35 miles per hour. How fast is this in feet per hour.

Example 2Converting Units of Area

A gym measures 8.5 meters by 14 meters. The owner bought mats to cover the floor. Each mat is 110 centimeters square. If 95 mats were purchased, are there enough mats to cover the floor?

Lesson Practice

An interior wall measures 4.5 yards by 3.25 yards. What is the size of the wall in square feet.

Example 3Application: Converting Units of Volume

A hose with a flow rate of 41,472 cubic inches per hour is filling up a pool. The volume of the pool is 1,104 cubic feet. How many hours will it take to fill the pool?

Lesson Practice

Della has a small bag containing 50 cubic centimeters of potting soil. Her planter has a volume of 46,300 cubic millimeters. Does Della have enough soil to fill the planter?

Unit Analysis

• Unit analysis can be used for more than just converting units of length.

• It can also be used to convert units of mass, density, temperature, capacity, or even money.

Exchange – Rate

• In economics, the value of money is defined by what people are willing to exchange for it.

• This means that the value of a currency can change relative to the value of other currencies.

• An exchange – rate listing shows what a currency is worth compared to other currencies at that moment.

Example 4Foreign Travel: Converting Units of Currency

Jared and his family are going on a vacation to Europe. He takes $225 with him. He needs to exchange this amount for its equivalent value in euros. If the current exchange rate is 1 euro = $1.36, what is the value of Jared’s $225 in euros?

Lesson Practice

Arthur just returned from London. He has 16 British pounds to convert to American dollars. If the exchange rate is 1 pound = $2.016, what is the value of Arthur’s 16 pounds in dollars?