Download Rational Numbers - math with Ms. young

Monday, August 8, 2016
Please take out your math binders
and a pencil.
Complete the problem of the day.
*** = ^^
^^^^ = ###
How many * does one # equal?
Do you remember
how to classify
rational numbers?
Review
Any Questions?
Show what you know!
Complete the quiz over rational and
irrational numbers!
Now is a GREAT time to ask questions.
I can explain the rational
number system.
Learning Target
Natural Numbers
What are natural numbers?
Natural Numbers are the
________________ numbers. We learned
to count starting with the number 1.
{_____, 2, 3, …}
Whole Numbers
What are Whole numbers?
Whole Numbers are the counting
numbers and _________.
{0,1, 2, 3, …}
Integers
What are Integers?
Integers are whole numbers and their
________________.
{… -3, -2, -1, 0,1, 2, 3, …}
Integers are also called ________
and ________Numbers
 ___________ Numbers
The set of numbers that are
__________________ than zero.
Examples: 2, 4, 6, 8
 ___________ Numbers
The set of numbers that are
__________________ than zero
Examples: -1, -3, -5, -7
Rational Numbers
What are Rational Numbers?
______________Numbers refers to the
set of numbers that can be written in
the form a/b where a and b are
_____________ and b ≠ 0.
“Rational Numbers”
Rational Numbers
numbers that can
represented as a
ratio or fraction
Integers
…-3,-2,-1, 0,1,2,3…
Rational Numbers
Irrational
Numbers
Integers
Whole Numbers
Whole Numbers
0,1,2,3,4,5…
Natural Numbers
1, 2, 3, …
Natural
Numbers
a
,b  0
b
∏
Problem of the Day
You must be 52 inches tall to ride
the new record-breaking roller
coaster Valravn. If you are 4 feet 9
inches tall, will you be allowed to
ride?
Absolute Value
The distance between a number and zero on
the number line.
The symbol for absolute value is
|-8| = 8
Number Line
What is the
absolute value of…
|-5| = 5
NEGATIVE FIVE IS 5
SPACES AWAY FROM
ZERO ON THE NUMBER
LINE.
|15| = 15
|-13| = 13
-|24| = -24
the opposite of the absolute
value of 24
IF THE NEGATIVE SIGN IS
OUTSIDE THE ABSOLUTE
VALUE BARS, THEN THE
ANSWER IS NEGATIVE!
Opposites
Two different numbers
that have the _same
absolute value. This
means they are the same
distance away from zero!
Example:
4 and -4 are opposites
because they have the
same absolute value.
What are the opposites?
1. 8
2. 56
3. -4
4. 15
5. -96
What are the opposites?
1. 8 and -8
2. 56 and -56
3. -4 and 4
4. 15 and -15
5. -96 and 96
Which symbol goes in the blank?
< or >
4___>___-3
-16__<____-14
Simplify
|-32| + |5| =______
32 + 5 = 37
-|-17|= -17
The opposite of the
absolute value of
negative 17
Day Two
What is the absolute value of the numbers?
1. |-9|
2. |63|
3. -|-18|
Put in order from least to
greatest
1.-13, 5, -43, 0, 14
2. -42, -73, -8, -23, -1
Coordinate Plane
“Comparing and Ordering Rational
Numbers”
A RATIONAL NUMBER is a number that can be written
as a fraction with an integer for its numerator and a
nonzero integer for its denominator.
1
2
3
5
12
1
3
1
4
2
5
What Do You See?
“EQUIVALENT FRACTIONS”
1
5
2
10
3
15
4
20
6
30
10
50
“Comparing Fractions”
Compare the fractions
3
4
and
4
5
.
When two fractions have different denominators, write
equivalent fractions with common denominators. Then
compare the numerators.
3 5
4 5
4 4
5 4
=
15
20
=
16
20
Same denominator,
now compare
numerators
Therefore, 4/5 is
greater 3/4.
Compare the Following Fractions
1
4
2
7
1 7

4 28
2 8

7 28
1
4
5
12
1
3
5
5 1 4


12 12 3 12
5
12
2
6
3
4
2 4

6 12
3 9

4 12
2
6
<
2
7
>
1
3
<
3
4
“Comparing Decimals”
To compare decimals, line up the decimal points and
compare the digits from left to right until you find the place
where the digits are different.
Compare the fractions. Write < or >.
0.81
<
0.84
0.81
0.84
Compare the fractions. Write < or >.
0.34
>
0.342
0.343
4 is greater than 1, so
0.84 is greater than
0.81
0.342
3 is greater than 2, so
0.34 is greater than
0.342
Order the Numbers from Least to Greatest
0.7011, 0.7, 0.71, 0.70, 0.7
Line up numbers by
the decimal point
Write all decimals in
the same place value
0.7011
0.7
0.71
0.70
0.7
0.7011
0.7000
0.7
0.7100
0.71
0.7070
0.70
0.7777
0.7
Place numbers in order
from least to greatest
Using a Number Line
Plot the numbers on a number line. Then order them from least to greatest.
2
5 3
, 0.2, 0.67,
,
5
8 2
0.4, 0.2, 0.67, 0.625, 1.5
0
0.2
0.4
0.5
0.625 0.67
In order them from least to greatest.
2 5
3
0.2, , , 0.67,
5 8
2
1
1.5
F
D
Using a Number Line
Plot the numbers on a number line. Then order them from least to greatest.
1
3
2
, 0.21,
, 0.85,
3
5
3
0.3, 0.21, 0.6, 0.85, 0.6,
0
0.21
0.3
0.5
0.6 0.6
0.85
In order them from least to greatest.
0.21,
1 3 2
, , , 0.85
3 5 3
1
1.5
August 14, 2015
2
15
Amanda’s teacher asked her to explain why is
a rational number. Explain a procedure that
Amanda can use to decide if a number is a
rational number or not. (MCC7NS3)