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**DIFFICULTY OF THE IMPERIAL UNITS?**

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**DIFFICULTY OF THE IMPERIAL UNITS**

One inch is usually divided into 8, 10 or 16 parts: This particular ruler has 16 divisions

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**DIFFICULTY OF THE IMPERIAL UNITS**

One inch is usually divided into 8, 10 or 16 parts: So, the smallest division = 1/16th of an inch

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**What is the length of the pencil?**

One inch is usually divided into 8, 10 or 16 parts: So, the smallest division = 1/16th of an inch

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**One inch is usually divided into 8, 10 or 16 parts:**

What is the length of the pencil? One inch is usually divided into 8, 10 or 16 parts:

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Videoclip

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**1.3 Relating SI and Imperial Units**

Copyright © 2010 Ryan P. Murphy

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**Copyright © 2010 Ryan P. Murphy**

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**I will show you these 6 pictures showing you their metric values.**

Mph (Miles per hour) Gallon Pounds Yards Fahrenheit Inches

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**One gallon of milk = 3.78 liters of milk**

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**65 mph = 104 km/h Copyright © 2010 Ryan P. Murphy**

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**Double Quarter Pounder(0.5 pound) = 0.226 kg**

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**48 inches tall = 1.22 meters tall**

Copyright © 2010 Ryan P. Murphy Copyright © 2010 Ryan P. Murphy

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1 Yards = meters Copyright © 2010 Ryan P. Murphy

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**80 degrees Fahrenheit = 26.7 degrees Celsius**

Copyright © 2010 Ryan P. Murphy

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The International System (System Internationale ‘unites) of Units (SI) also known as THE METRIC SYSTEM.

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**It is used by scientists all over the world**

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**The Metric System: A measurement system based on the powers of ten.**

Copyright © 2010 Ryan P. Murphy

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**POWERS OF TEN HAVE PREFIXES**

Copyright © 2010 Ryan P. Murphy

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YOU MUST KNOW THEM!!! Copyright © 2010 Ryan P. Murphy

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**Only one unit of measurement for each quantity**

The simplicity of the Metric System? For example: LENGTH: meter MASS: gram VOLUME: liter Only one unit of measurement for each quantity Copyright © 2010 Ryan P. Murphy

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**You can measure the very small and the very large with the same unit**

meter Copyright © 2010 Ryan P. Murphy

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**The measurements below are all the same.**

“I am mm tall.” “I am cm tall.” “I am meters tall.” “I am km tall.” Compare it with Imperial System Copyright © 2010 Ryan P. Murphy

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**Only one unit of measurement for each quantity**

The simplicity of the Metric System? SI For example: LENGTH: meter MASS: gram VOLUME: liter Only one unit of measurement for each quantity Imperial For example: LENGTH: mile, yard, foot/feet, inch… MASS: grain (≈0.65g), drachm (1.77 g), pound (453 g)… VOLUME: ounce (0.028 L), gill (0.142 L), gallon (4.55 L)… Copyright © 2010 Ryan P. Murphy

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**Dimensional Analysis and Conversion factors**

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**We can do this using 2 methods:**

Any quantity we measure,(length, mass, volume…) consists of a number and unit 22.2 m If we are given a quantity in one type of unit, and we want another type of unit : 22.2 m = ? ft We must convert the units We can do this using 2 methods:

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OR

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**A relationships between any quantities can be expressed by CONVERSION FACTORS**

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**A relationships between any quantities can be expressed by CONVERSION FACTORS**

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EXAMPLE #1 Convert 21.5 inches to cm!

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**EXAMPLE #1 Convert 21.5 inches to cm!**

Step 1: Write conversion factors for inches and cm Step 2: Choose a conversion factor which will allow you to cancel units of a given quantity (inches in our case) Step 3: Multiply, cancel and check the units

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Convert 21.5 inches to cm! Step 1: Write conversion factors for inches and cm

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Convert 21.5 inches to cm! Step 1: Write conversion factors for inches and cm Step 2: Choose a conversion factor which will allow you to cancel units of a given quantity (inches in our case)

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**Step 3: Multiply, cancel and check the units**

Convert 21.5 inches to cm! Step 3: Multiply, cancel and check the units 𝟏 𝒊𝒏𝒄𝒉 𝟐.𝟓𝟒 𝒄𝒎 NO! 21.5 inches x 𝟐.𝟓𝟒 𝒄𝒎 𝟏 𝒊𝒏𝒄𝒉 YES! 21.5 inches x 1 𝑖𝑛𝑐ℎ 2.54 𝑐𝑚 𝑐𝑚 1 𝑖𝑛𝑐ℎ

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**1 step metric conversion**

EXAMPLE #1 Convert 21.5 inches to cm! 1 step metric conversion

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**A Canadian football field is approximately 59 m wide**

A Canadian football field is approximately 59 m wide. What is this measurement to the nearest foot? Use both of the methods of conversion. a) 192 ft. a) 192 ft.

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**Nora knows that she is 5 ft. 7 in. tall.**

a) What height in centimetres will she list on her driver’s license application? Use both of the methods of conversion. a) 170 cm

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HOMEWORK Pages: 22 – 23 Problems: 4 – 14 (all even)

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Convert 6.32 µm to km Convert to a base unit (need 2 conversion factors) and from the base unit

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Convert 6.32 µm to km Insert the values for 1 µm and 1 km

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Convert 6.32 µm to km Cancel the units and do the math

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