R ational Numbers TeacherTwins2014 2 Warm Up Identify all sets to which each number belongs 1 2 45 3 376 4 5 Simplify the following fraction Rational number ID: 686602
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Slide1
Comparing and
Ordering Rational Numbers
TeacherTwins©2014Slide2
2)
Warm UpIdentify all sets to which each number belongs.
1).
2). -45
3). 3.76
4). 5). Simplify the following fraction:
Rational number
Rational number, integer
Rational number
Rational number, integer, whole number
Slide3
Comparing Fractions
Comparing Decimals
Comparing and Ordering Rational Numbers
FlippableSlide4
Comparing and Ordering Fractions
Method 1Find the common denominator and compare the numerators.
Which number is the smallest
or
?
Slide5
Method 2
Cross MultiplyExample 1:
Example 2:
30
36
12
12
This number is larger so 9/10 is larger.
Both products are the same so they are equal.
Slide6
Practice
Replace with >, <, or =.1).
2).
3).
4).
5).
6).
Order from least to greatest.
7).
8).
<
>
>
>
=
>
½, 2/3, 5/6
3/8, 2/3, 3/4Slide7
Comparing and Ordering Decimals
To compare decimals, line up the decimal points and compare the digits from left to right until you find different digits.
Example: 0.726 ___ 0.724
>
Practice
Use < , > or = to compare.1). -0.245 _____ 0.124 2). 3.4567 ____ 3.456793). -4.56 _____ - 4.57 4). 0.98 ____ 0.980<<
>
=the first digit that is
different is 6 and 4 6>4Slide8
Closure
Determine whether the following statement is true or false. Explain your reasoning.
A rational number is always an integer.
False,
is not a rational number.