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Name :___________________________ Date:________________________ Period:_________________
Rational Numbers & Conversions
Shoe Shopping
You are shopping for some new shoes. You want to buy
a pair of Nike Jordan tennis shoes. A commercial for
footlocker says that they taking ¾ off the original price
of all Nike shoes. An advertisement for Shoe
Department says their Nike shoes are 70% off the
original price. Which is the better buy?
Guiding Questions
-What is the question asking (what is the meaning of the question)?
-What are some key words and numbers needed to solving this problem?
-What are some skills we need to solve this problem?
Write your response (3 minutes)
-How would you solve this problem?______________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Objective: I will _______________________________________________________________________
_____________________________________________________________________________________
Number Line
-∞
-5
-4
-3
-2
-1
________________________________________
0
1
2
3
4
5
6
∞
__________________________________________
Name :___________________________ Date:________________________ Period:_________________
∞ means ____________________________________________
List numbers between 1 and 2 on the number line
List numbers between 1.3 and 1.4
_______________________________________
___________________________________
List Numbers between 3/5 and 4/5 (Fractions, Decimals, and Percents)
_______________________________________________________________________________
What can we concluded? _______________________________________________________________
___________________________________________________________________________________
What are Rational Numbers? ___________________________________________________________
Examples of Rational numbers:
___________________________________________________________________________________
Why are 2 and 3.4 considered rational numbers?
____________________________________________________________________________________
Let’s practice
Directions: Convert all decimals and whole numbers to decimals to fractions (whiteboards)
.5 =
57=
5 ¾=
-3=
.25=
7 1/3=
Percent is ____________________________________________________________________________.
That means 50% is 50 per (or out of) 100
2% is 2 per 100
100% is 100 per 100 ( or one whole or 1)
312% is 312 per 100 (Percents can be more than 100. This means that they are more
than one whole)
Since each percent means per 100 it can be written as a fraction
Name :___________________________ Date:________________________ Period:_________________
Ex. 17%= 17/ 100
20%= 20/100= (Can this be simplified, yes) 1/5
200%= 200/100 (why is the denominator 100? Because percents have 100 as the denominator.
This does not change because a larger number is in the numerator)
Change the percent to fraction
You try
315%=
25%=
How do I change a percent to a decimal? First way is to move the decimal two places to the left?
Why do you move the decimal two times to the left? If you look at place value, two place behind
the decimal is considered the hundredths place. Remember that percents are part of a whole (or
part per 100).
Change percent to decimal
Example
15%=
125%=
25.34%=
How to change fractions to percents?
Use proportions. Proportion is two equivalent fractions
Example
What percent is equivalent to the fraction ¾ ?
¾ =x/100
What percent is equivalent to the fraction 5/12?
Work it out
- 5.12%
(Stand up) Why?
- 4.6%
(Clap Once) why?
- 41.6 Repeating% (Stomp Once) Why?
Last Problem: A paint store gives a discount to 12 of every 100 customers. What
percent of the customers did not receive a discount? _______________________
Show your Work:
Name :___________________________ Date:________________________ Period:_________________
Rational Number & Conversion Homework
Convert Percent to Fraction
79 % =
62.1 % =
Convert Fraction to Percent
9
40 =
7
16=
Convert Fraction to Decimal
11
16 =
9
20 =
Convert Decimal to Fraction
1.75 =
0.83 =
Convert Percent to Decimal
13 % =
132 % =
Convert Decimal to Percent
0.68 =
1.2 =
13. Three-eighths of the walkers completed a marathon in less than three hours.
3
? Explain your answer and show your work.
8
________________________Why?_________________________________________
_____________________________________________________________________
______________________________________________________________________
Which decimal is equivalent to
14. Johnny plays basketball with his friends every day. He makes 15 of every 20 shots.
What percent of the shots does he miss? Explain your answer and show your work.
Name :___________________________ Date:________________________ Period:_________________
Rational Number & Conversion Worksheet
Convert Percent to Fraction
63 % =
25.2 % =
Convert Fraction to Percent
2
40 =
7
10=
Convert Fraction to Decimal
11
12 =
3
20 =
Convert Decimal to Fraction
2.25 =
0.13 =
Convert Percent to Decimal
15 % =
234 % =
Convert Decimal to Percent
0.98 =
2.8 =
13
13
of 47. Write the decimal and percent that are equivalent to
?
20
20
Explain your answer and show your work.
Harold finds
Jenny was taking her nine weeks mathematics test. One of the questions ask “What
percent is equivalent to the fraction
?” She said that the answer was 6%. Do you think
she is correct? Explain your answer?
Which shows 7.35 written as a mixed number? Explain your answer and show
your work.
F.
G.
H.
J.
Name :___________________________ Date:________________________ Period:_________________