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.
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
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 decimal expansion and for
rational 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 into a decimal, you would
divide the 3 by the 4.4
3
344
3 0.34
0.7
-2 8 20
5
-2 0 0
75.04
3
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.
20
70.720
0.3
-6 01 00
5
-1 0 0 0
35.020
7
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.
3
13.0...333.0 0.13
0.3
- 9 1 0
3
- 9 1 0
3……..
- 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.
4
35 75.5
4
35
Memorizing some conversions like these will make things a lot EASIER!
We already know that ¾ =
0.75
¼ = 0.25 ½ = 0.50 ¾ = 0.75 (one quarter) (half of a dollar) (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.
8
32 375.2
8
32 0.38
0.3
-2 4 6 0
7
- 5 6 4 0
5
- 4 0 0
Notebook/Board ExamplesConvert the following fractions to decimals(1) (2) (3) (4) (5)
7
23
8
5
24
12
9
44
11
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 (2) 1.22 (3) -0.875
Answers
(1)17/25
(2) 1 11/50
(3) -7/8
BIG DOG QUESTIONWrite the following decimal as a fraction:
-8.3713713713713173171371371……………………………………….
Answer is -8 371/999
Related Documents
