Module # 3 of 15 Comparing & Ordering Rational Numbers 6th Grade
Module # 3 of 15 Comparing & Ordering Rational Numbers 6th Grade
Module # 3 of 15 Comparing & Ordering Rational Numbers 6th Grade
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Student<br />
Name:_______________<br />
Math Teacher: _______________<br />
HIP Manager:<br />
_______________<br />
<strong>Module</strong> # 3 <strong>of</strong> <strong>15</strong><br />
<strong>Comparing</strong> & <strong>Ordering</strong><br />
<strong>Rational</strong> <strong>Numbers</strong><br />
6 th <strong>Grade</strong><br />
Students: Please return your completed module to your HIP teacher. Your HIP teacher will<br />
forward your completed module to your science or math teacher to make sure you receive<br />
credit for the work you have completed. Remember, your future is extremely important to us<br />
and we are here to help you! Get your next module and keep going – you will be<br />
SUCCESSFUL!!!
Math Dragon Presents<br />
“<strong>Comparing</strong> and ordering<br />
rational numbers”
What is a rational<br />
number?<br />
A rational number is any number that can be<br />
expressed as a ratio (a fraction).
So what does it mean to be a rational number?<br />
A rational number can be:<br />
• Fraction<br />
• Decimal<br />
• Percent<br />
• Whole Number<br />
• Mixed Number<br />
Any number<br />
that CAN be<br />
written as a<br />
fraction is a<br />
rational<br />
number.
How do we compare<br />
rational numbers?<br />
In order to compare rational numbers, they all<br />
have to be written the same way.<br />
Change them all to DECIMALS…then compare.
Percent to Decimals<br />
To change a percent to a decimal, move the decimal<br />
2 spaces to the LEFT<br />
Examples 53% = .53<br />
4% = .04<br />
70% = .7<br />
65.4% = .654<br />
.3% = .003<br />
If there is no decimal<br />
on the percent, think <strong>of</strong><br />
it as money …where is<br />
the decimal on $2?<br />
When there is no<br />
decimal, it starts at the<br />
percent sign.
Fractions to decimals<br />
To change a fraction to a decimal, you need to<br />
divide. Put the top number in the house and add a<br />
decimal and as many zeros as necessary.<br />
Examples 1 5<br />
4 8<br />
Top number in the<br />
house.<br />
4<br />
.25<br />
1.00<br />
0<br />
1 0<br />
- 8<br />
2 0<br />
- 2 0<br />
0 0<br />
8<br />
.625<br />
5.000<br />
0<br />
5 0<br />
4 8<br />
2 0<br />
- 1 6<br />
0 4 0<br />
- 4 0<br />
0 0<br />
Remember to add a<br />
decimal and some<br />
zeros.
<strong>Comparing</strong> rational<br />
Use >, < or = to compare the<br />
following rational numbers:<br />
numbers<br />
.64 47%<br />
6% 5/8<br />
7/10 5.2<br />
3.79 374%<br />
3.79 > 3.74<br />
Change percents and<br />
fractions to decimals.<br />
.64 > .47<br />
.06 < .625<br />
.7 < 5.2
ordering rational<br />
To order rational numbers:<br />
numbers<br />
First, write them all to decimals<br />
Second, put them in order<br />
Third, re-write them in their original form<br />
Order from least to greatest:<br />
Change percents and<br />
fractions to decimals.<br />
65%, .375, 4/5, 23%<br />
.65, .375, .8, .23<br />
.23, .375, .65, .8<br />
23%, .375, 65%, 4/5<br />
Write as decimals<br />
Put in Order<br />
Re-write in original form
Time to Practice!!!
<strong>Comparing</strong> rational<br />
Use >, < or = to compare the<br />
following rational numbers:<br />
numbers<br />
2/5 40%<br />
64% .672<br />
5/8 71%<br />
2.14 208%<br />
Change percents and<br />
fractions to decimals.
ordering rational<br />
To order rational numbers:<br />
numbers<br />
First, write them all to decimals<br />
Second, put them in order<br />
Third, re-write them in their original form<br />
Order from least to greatest:<br />
Change percents and<br />
fractions to decimals.<br />
.45, .37%, 2/5, 58%<br />
Write as decimals<br />
Put in Order<br />
Re-write in original form
Lets See How much you<br />
have learned!!!
<strong>Comparing</strong> rational<br />
Use >, < or = to compare the<br />
following rational numbers:<br />
numbers<br />
56% .56<br />
74% 3/4<br />
.8 8%<br />
.49 13/25<br />
Change percents and<br />
fractions to decimals.
ordering rational<br />
numbers<br />
Order from least to greatest:<br />
.7, 82%, 1/4, .26<br />
Change percents and<br />
fractions to decimals.<br />
Write as decimals<br />
Put in Order<br />
Re-write in original form
What do these problems look like?<br />
Which number line shows the points correctly<br />
labeled?<br />
Change all<br />
fractions to<br />
decimals then<br />
see which<br />
number line has<br />
them in order.
Solving another Picture Problem<br />
Each square below is divided into<br />
sections <strong>of</strong> equal size. Which<br />
square has 62.5% <strong>of</strong> its total area<br />
shaded?<br />
Look at the pictures…<br />
Change them from<br />
fractions to decimals<br />
and then percents until<br />
you find 62.5%.
Now you will create a GCF<br />
Problem <strong>of</strong> your own!!!
Create Your Own<br />
• Write a problem that requires conversions<br />
between fractions, decimals, or percents in order<br />
to be solved.<br />
• Extra points can be earned by drawing a picture<br />
to go with your problem.<br />
• Finally, you need to explain what the correct<br />
answer is and WHY?<br />
• Remember what you learned and don’t be afraid<br />
to take a math adventure like our Math Dragon!!
Your Problem
Congratulations!!!<br />
Job Well Done, and we will see you again soon<br />
in<br />
“Math dragon’s<br />
Math adventure!!”
Change language