Conversions

Convert your age in years to seconds. Your first conversion!! Convert your age in years to seconds.

In science, it is often useful to be able to convert from one unit of measure to another For example: If you have 24 students in a class and you want to give each student 4 cookies, how many dozen do you need?

First we will see how it works with dozen.

You know that a dozen is 12 of something. If you have 36 donuts, how many dozen donuts do you have?

You want to know how many dozen in 36 donuts, and you know there is 1 dozen per 12 donuts, or 1 dozen Use this relationship to convert from individual donuts to dozen donuts: 12 donuts

In the problem how many dozen in 36 donuts, you know there is 1 dozen per 12 donuts, or 1 dozen Use this relationship to convert from individual donuts to dozen donuts: 12 donuts 36 donuts x 1 dozen 12 donuts

In the problem how many dozen in 36 donuts, you know there is 1 dozen per 12 donuts, or 1 dozen Use this relationship to convert from individual donuts to dozen donuts: 12 donuts 1 dozen 12 donuts 36 donuts x 1 dozen 12 donuts 36 donuts x =

In the problem how many dozen in 36 donuts, you know there is 1 dozen per 12 donuts, or 1 dozen Use this relationship to convert from individual donuts to dozen donuts: 12 donuts 1 dozen 12 donuts 36 donuts x 1 dozen 12 donuts 36 donuts x = = 36 dozen 12

In the problem how many dozen in 36 donuts, you know there is 1 dozen per 12 donuts, or 1 dozen Use this relationship to convert from individual donuts to dozen donuts: 12 donuts 1 dozen 12 donuts 36 donuts x 1 dozen 12 donuts 36 donuts x = = 36 dozen 12 = 3 dozen

In the problem how many dozen in 36 donuts, you know there is 1 dozen per 12 donuts, or 1 dozen Use this relationship to convert from individual donuts to dozen donuts: 12 donuts 1 dozen 12 donuts 36 donuts x 1 dozen 12 donuts 36 donuts x = = 36 dozen 12 = 3 dozen

36 donuts = 3 dozen

If you have 2.5 dozen donuts, how many individual donuts are there? there are 12 donuts in 1 dozen 2.5 dozen x 12 donuts 1 dozen

If you have 2.5 dozen donuts, how many individual donuts are there? 12 donuts 2.5 dozen x 12 donuts 1 dozen 2.5 dozen x = 1 dozen 2.5 x 12 donuts 1 = = 30 donuts

notice the two conversion factors are reciprocals of each other Here are the two problems side by side: notice the two conversion factors are reciprocals of each other 2

12 donuts = 1 dozen 12 donuts 1 dozen = 1 1 dozen 12 donuts = 1

= 1 converts donuts to dozen = 1 12 donuts = 1 dozen 12 donuts 1 dozen

= 1 converts dozen to donuts = 1 12 donuts = 1 dozen 12 donuts 1 dozen

Since conversion factors always equal 1, you can multiply them by anything you want and still end up with the same thing except that it will be in a different form. !!!REMEMBER!!! You are changing the form of the number not the value.

Let’s try converting donut mass to number of donuts…

If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams?

What’s the conversion? If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? What’s the conversion?

1. what is the question asking you to convert? If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? 1. what is the question asking you to convert?

grams to donuts 1. what is the question asking you to convert? If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? 1. what is the question asking you to convert? grams to donuts

2. what is the relationship between grams and donuts? If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? 2. what is the relationship between grams and donuts?

2. what is the relationship between grams and donuts? If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? 2. what is the relationship between grams and donuts? 150 grams = 1 donut

3. set up the conversion factors:

150 g = 1 donut so… 150 g 1 donut = 1 and 1 donut 150 g = 1

150 g = 1 donut 150 g 1 donut = 1 these are your conversion factors 1 donut 150 g = 1

150 g = 1 donut 150 g = 1 1 donut 1 donut 150 g = 1 converts donuts to grams (grams on top) 1 donut 150 g = 1

150 g = 1 donut 150 g = 1 1 donut 1 donut 150 g = 1 converts grams to donuts (donuts on top) 1 donut 150 g = 1

If you have 9900 grams of donuts, how many donuts do you have The question is… If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams?

begin with the amount given in the problem The question is… If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? 9900 grams begin with the amount given in the problem

If you have 9900 grams of donuts, how many donuts do you have The question is… If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams?

If you have 9900 grams of donuts, how many donuts do you have The question is… If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? each donut has a mass of 150 grams

converts grams to donuts The question is… If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? each donut has a mass of 150 grams converts grams to donuts

If you have 9900 grams of donuts, how many donuts do you have The question is… If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams?

If you have 9900 grams of donuts, how many donuts do you have The question is… If you have 9900 grams of donuts, how many donuts do you have if each donut has a mass of 150 grams? how many donuts do you have

=

What if it’s not donuts? You have to know the relationship!!

English 1ft. = 12in 3ft. = 1 yd 5280ft. = 1mile What are the conversion factors?

Metric Relationships King Henry Died By Drinking Chocolate Milk

Common conversions 2.54 cm = 1 in 4 qt = 1 gallon 5280 ft = 1 mile 4 cups = 48 tsp 2000 lb = 1 ton 1 kg = 2.205 lb 1 lb = 453.6 g 1 lb = 16 oz 1 L = 1.06 qt

Now for some practice!!!