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In science, it is often usefulto 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?
You want to know how many dozen in 36 donuts,and you know there is 1 dozen per 12 donuts, or 1 dozen12 donuts
Use this relationship to convert fromindividual donuts to dozen donuts:
36 donuts x 1 dozen12 donuts
In the problem how many dozen in 36 donuts,you know there is 1 dozen per 12 donuts, or 1 dozen12 donuts
Use this relationship to convert fromindividual donuts to dozen donuts:
In the problem how many dozen in 36 donuts,you know there is 1 dozen per 12 donuts, or 1 dozen12 donuts
36 donuts x = 1 dozen12 donuts
36 donuts x 1 dozen 12 donuts
Use this relationship to convert fromindividual donuts to dozen donuts:
In the problem how many dozen in 36 donuts,you know there is 1 dozen per 12 donuts, or 1 dozen12 donuts
36 donuts x = 1 dozen12 donuts
36 donuts x 1 dozen 12 donuts
= 36 dozen 12
Use this relationship to convert fromindividual donuts to dozen donuts:
In the problem how many dozen in 36 donuts,you know there is 1 dozen per 12 donuts, or 1 dozen12 donuts
36 donuts x = 1 dozen12 donuts
36 donuts x 1 dozen 12 donuts
= 36 dozen 12
= 3 dozen
Use this relationship to convert fromindividual donuts to dozen donuts:
In the problem how many dozen in 36 donuts,you know there is 1 dozen per 12 donuts, or 1 dozen12 donuts
36 donuts x = 1 dozen12 donuts
36 donuts x 1 dozen 12 donuts
= 36 dozen 12
= 3 dozen
Use this relationship to convert fromindividual donuts to dozen donuts:
If you have 2.5 dozen donuts, how many individualdonuts are there?
2.5 dozen x 12 donuts1 dozen
there are 12 donutsin 1 dozen
If you have 2.5 dozen donuts, how many individualdonuts are there?
2.5 dozen x =12 donuts1 dozen
2.5 dozen x 12 donuts1 dozen
2.5 x 12 donuts1
=
= 30 donuts
Here are the two problems side by side:
2.5 dozen 12 donuts 2.5 dozen x 12 donuts1 dozen 1 dozen
2.5 x 12 donuts 1
30 donuts
x =
=
=
x =36 donuts 1 dozen 36 donuts 1 dozen12 donuts 12 donuts
36 dozen 1
3 dozen
=
=
x
notice the two conversion factorsare reciprocals of each other
2
2.5 dozen 12 donuts 2.5 dozen x 12 donuts1 dozen 1 dozen
2.5 x 12 donuts 1
30 donuts
x =
=
=
x =36 donuts 1 dozen 36 donuts 1 dozen12 donuts 12 donuts
36 dozen 1
3 dozen
=
=
x
12 donuts = 1 dozen
1 dozen12 donuts = 1
12 donuts 1 dozen = 1
2.5 dozen 12 donuts 2.5 dozen x 12 donuts1 dozen 1 dozen
2.5 x 12 donuts 1
30 donuts
x =
=
=
x =36 donuts 1 dozen 36 donuts 1 dozen12 donuts 12 donuts
36 dozen 1
3 dozen
=
=
x
12 donuts = 1 dozen
1 dozen12 donuts
12 donuts 1 dozen = 1
= 1converts
donuts to dozen
2.5 dozen 12 donuts 2.5 dozen x 12 donuts1 dozen 1 dozen
2.5 x 12 donuts 1
30 donuts
x =
=
=
x =36 donuts 1 dozen 36 donuts 1 dozen12 donuts 12 donuts
36 dozen 1
3 dozen
=
=
x
12 donuts = 1 dozen
1 dozen12 donuts
12 donuts 1 dozen = 1
= 1converts
dozen to donuts
Since conversion factors always equal 1,you can multiply them by anything you
want and still end up with the same thingexcept that it will be in a different form.
!!!REMEMBER!!! You are changing the form of the number not the value.
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?
1. what is the question asking you to convert?
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?
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?
150 grams = 1 donut
If you have 9900 grams of donuts,how many donuts do you have
if each donut has a mass of 150 grams?
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?
The question is…
9900 grams
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 amountgiven 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 gram s
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 gram s
each donut has a mass of 150 grams
The question is…
x9900 gram s 1 donut150 grams
converts gramsto donuts
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
The question is…
x9900 gram s 1 donut150 grams
If you have 9900 grams of donuts,how many donuts do you have
if each donut has a mass of 150 grams?
9900 donuts 150
66 donuts
=
= 66 donuts
The question is…
x9900 gram s 1 donut150 grams
x=
9900 g 1 donut150 g
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
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