Transcript 2 0

Rational Numbers
 Juan, Billy, and Charlene participated in a
one minute pie-eating contest with 25
contestants. The trio came in the top three.
Juan ate 3/5 of his pie, Billy ate 5/9 of his
pie, and Charlene ate 4/7 of her pie. What
place did each of them finish? Explain your
answer without using a calculator. You can
draw a picture if needed.
ANSWER
 (1) Juan 0.6
 (2)Charlene 0.571428571428571428571428
 (3) Billy 0.5555555555555555555555555555
 What do notice about answers #2 and #3.
 They are repeating decimals while the
answer for #1 is a terminating decimal.
Rational Numbers
Common Core #1 Continued
 Understand that every number has a
rational
decimal expansion and for
numbers show that each decimal expansion
terminates or eventually repeats.
To change a fraction into a decimal, you divide the
NUMERATOR by the DENOMINATOR.
For example, to change 3 into a decimal, you would
divide the 3 by the 4.
3
4 3
4
4
0. 7 5
4 3 .0
-2 8
20
-2 0
0
3
 0.75
4
This is called a TERMINATING DECIMAL.
(it comes to an end, as in terminate a game!)
To change a fraction into a decimal, you divide the
NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal.
7
20
0.3 5
20 7.0
-6 0
1 00
-1 0 0
0
7
 0.35
20
This is called a TERMINATING DECIMAL.
(it comes to an end, as in terminate a game!)
To change a fraction into a decimal, you divide the
NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal.
1
3
0.3 3 3……..
3 1 .0
0.333...  0.3
- 9
10
- 9
10
- 9
1
This is called a REPEATING DECIMAL.
(a pattern in the digits repeats forever!)
To change a fraction into a decimal, you divide the
NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal.
3
5
4
We already
know that ¾ =
0.75
3
5  5.75
4
Memorizing some conversions like these will make things a lot
EASIER!
¼ = 0.25
(one quarter)
½ = 0.50
(half of a dollar)
¾ = 0.75
(three quarters)
To change a fraction into a decimal, you divide the
NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal.
3
2
8
0.3 7 5
8 3 .0
-2 4
60
- 56
40
- 40
0
3
2  2.375
8
Notebook/Board Examples
 Convert the following fractions to decimals
 (1) 3 2 (2) 5 (3) 12 (4) 4 (5)1 1

7
8
4
24
9
To change a decimal into a fraction, you place the
decimal number over the correct pace value position
as a fraction ( #/10
#/100
#/1000)
For example, to change 0.25 into a fraction, you
would place 25 over a denominator of 100 since it
is read “twenty-five
hundredths”.
25/100 = 1/4
Lets convert 0.6 to a fraction in simplest form
How do you say 0.6?
“six-tenths”
So 6/10 or 3/5 in simplest form
Lets convert 3.345 to a fraction in simplest form
How do you say 3.345?
“Three and three-hundred-forty-five thousandths”
So 3 345/1000 in or 3 69/200 in simplest form
You try these 3 for your Notebook Examples
(1) 0.68
Answers
(1)17/25
(2) 1 11/50
(3) -7/8
(2) 1.22
(3) -0.875
BIG DOG QUESTION
 Write the following decimal as a fraction:
 -8.3713713713713173171371371……………………………………….
 Answer is -8 371/999
Additional Questions if needed
Page 8
11-17 & 19-25