Compare and Order
Rational Numbers
Learning Target –
4/26/16
I can compare and order rational numbers,
including fractions, decimals, mixed numbers,
integers and percents.
When you compare two numbers, a and b, only
one of these statements can be true:
a is less than b
a<b
a is equal to b
a=b
a is greater than b
a>b
Compare each pair of numbers using <, =, or >.
SMALLER
-2
-1
GREATER
0
1
3.5 < 8.001
6
3
4
2
3
> 4
=
3
10
8
12
–12 < 10
2
Ordering Whole Numbers
Line up the numbers vertically.
Compare the place value for each digit, starting from the left.
Find the first difference.
The number with the largest digit is the largest number.
Order the following list of numbers from least to greatest:
6,892
6,829
6,845
Line up the numbers vertically.
Starting from the left,
find the first
difference.
6,892
6,829
6,845
The number with the
largest digit is the
largest number.
6,829 ; 6,845 ; 6,892
Ordering Whole Numbers
Line up the numbers vertically.
Compare the place value for each digit, starting from the left.
Find the first difference.
The number with the largest digit is the largest number.
Order the following list of numbers from least to greatest:
1,452
899
10,002
78
200
Order the following list of numbers from greatest to least:
992
26
84,361
247
3,606
Ordering Whole Numbers
Line up the numbers vertically.
Compare the place value for each digit, starting from the left.
Find the first difference.
The number with the largest digit is the largest number.
Order the following list of numbers from least to greatest:
1,452
899
10,002
78
200
78 ; 200 ; 899 ; 1,452 ; 10,002
Order the following list of numbers from greatest to least:
992
26
84,361
247
84,361 ; 3,606 ; 992 ; 247 ; 26
3,606
Ordering Decimal Numbers
Line up the numbers vertically.
Compare the place value for each digit, starting from the left.
Find the first difference.
The number with the largest digit is the largest number.
Order the following list of numbers from least to greatest:
3.5
3.9
6.8
4.2
Line up the numbers vertically.
Starting from the left,
find the first
difference.
3.5
3.9
6.8
The number with the
largest digit is the
largest number.
4.2
3.5 ; 3.9 ; 4.2 ; 6.8
Ordering Decimal Numbers
Line up the numbers vertically with the decimals in a line.
Compare the place value for each digit, starting from the left.
Find the first difference.
The number with the largest digit is the largest number.
Order the following list of numbers from least to greatest:
125.8
39.458
200.099
125.08
Order the following list of numbers from greatest to least:
7.91163
6,403.5
0.083
216.1
53.92
Ordering Decimal Numbers
Line up the numbers vertically with the decimals in a line.
Compare the place value for each digit, starting from the left.
Find the first difference.
The number with the largest digit is the largest number.
Order the following list of numbers from least to greatest:
125.8
39.458
200.099
125.08
39.458 ; 125.08 ; 125.8 ; 200.099
Order the following list of numbers from greatest to least:
7.91163
6,403.5
0.083
216.1
6,403.5 ; 216.1 ; 53.92 ; 7.91163 ; 0.083
53.92
Ordering Fractions and Mixed Numbers
With a Common Denominator
The proper/improper fraction with the largest numerator is the largest fraction.
With Different Denominators
Rewrite the fractions using a common denominator.
The proper/improper fraction with the largest numerator is the largest fraction.
OR convert all fractions to decimals by dividing the numerator by the
denominator.
Mixed Numbers
Compare the whole number part of the fractions.
If the whole number parts are the same, compare the fraction part.
Order the following lists of numbers from least to greatest:
8
;
4
;
11
12 12 12
4
;
8
;
11
12 12 12
6
6
2
3
1
3
; 8
; 6
1
9
2
3
; 6
; 8
1
5
3
6
1
9
7
;
8
;
15
18 18 18
;
4
;
7
9 18
_
_
_
7 4 5
0.38
;
0.4
;
0.83,
or
so
;
;
18 9
6
Ordering Fractions and Mixed Numbers
With a Common Denominator
The proper/improper fraction with the largest numerator is the largest fraction.
With Different Denominators
Rewrite the fractions using a common denominator.
The proper/improper fraction with the largest numerator is the largest fraction.
OR convert all fractions to decimals by dividing the numerator by the
denominator.
Mixed Numbers
Compare the whole number part of the fractions.
If the whole number parts are the same, compare the fraction part.
Order the following lists of numbers from least to greatest:
17
;
8
;
23
35 35 35
3
6
7
; 5
1
7
; 3
2
9
7
24
;
3
4
;
7
8
Ordering Fractions and Mixed Numbers
With a Common Denominator
The proper/improper fraction with the largest numerator is the largest fraction.
With Different Denominators
Rewrite the fractions using a common denominator.
The proper/improper fraction with the largest numerator is the largest fraction.
OR convert all fractions to decimals by dividing the numerator by the
denominator.
Mixed Numbers
Compare the whole number part of the fractions.
If the whole number parts are the same, compare the fraction part.
Order the following lists of numbers from least to greatest:
17
;
8
;
23
35 35 35
8
;
17 23
;
35 35 35
3
3
6
7
2
7
; 5
; 3
1
7
6
7
; 3
; 5
2
9
7
24
1
7
9
;
18 21
;
24 24 24
;
3
4
;
7
8
or 0.375 ; 0.75 ; 0.875, so
9
;
3
24 4
;
7
8
Ordering Fractions and Mixed Numbers
With a Common Denominator
The proper/improper fraction with the largest numerator is the largest fraction.
With Different Denominators
Rewrite the fractions using a common denominator.
The proper/improper fraction with the largest numerator is the largest fraction.
OR convert all fractions to decimals by dividing the numerator by the
denominator.
Mixed Numbers
Compare the whole number part of the fractions.
If the whole number parts are the same, compare the fraction part.
Order the following lists of numbers from greatest to least:
8
;
4
;
11
15 15 15
6
7
9
; 8
2
9
; 2
8
7
9
18
;
4
5
;
1
2
Ordering Fractions and Mixed Numbers
With a Common Denominator
The proper/improper fraction with the largest numerator is the largest fraction.
With Different Denominators
Rewrite the fractions using a common denominator.
The proper/improper fraction with the largest numerator is the largest fraction.
OR convert all fractions to decimals by dividing the numerator by the
denominator.
Mixed Numbers
Compare the whole number part of the fractions.
If the whole number parts are the same, compare the fraction part.
Order the following lists of numbers from greatest to least:
8
;
4
;
11
15 15 15
11
;
8
;
4
15 15 15
6
8
7
9
2
9
; 8
; 6
2
9
7
9
; 2
; 2
8
7
9
18
8
72 45 35
9
90 90 90
;
;
;
4
5
;
1
2
_
0.8
;
0.5
;
0.38,
or
so
4
5
;
1
2
;
7
18
Ordering Integers
Locate the numbers on a number line.
Positive numbers are always greater than negative numbers.
The least number is the farthest one to the left.
The greatest number is the farthest one to the right.
Order the following list of numbers from least to greatest:
–10
-20 -18
-16 -14
-12 -10
-8
-6
9
-4
15
-2
–6
0
2
–3
4
6
0
8
–10 ; –6 ; –3 ; 0 ; 9 ; 15
10
12
14
16
18
20
Ordering Integers
Locate the numbers on a number line.
Positive numbers are always greater than negative numbers.
The least number is the farthest one to the left.
The greatest number is the farthest one to the right.
Order the following list of numbers from least to greatest:
–5
-20 -18
-16 -14
-12 -10
18
-8
-6
3
-4
-2
–16
0
2
–9
4
6
5
8
10
12
14
16
18
20
Ordering Integers
Locate the numbers on a number line.
Positive numbers are always greater than negative numbers.
The least number is the farthest one to the left.
The greatest number is the farthest one to the right.
Order the following list of numbers from least to greatest:
–5
-20 -18
-16 -14
-12 -10
18
-8
-6
3
-4
-2
–16
0
2
–9
4
6
5
8
–16 ; –9 ; –5 ; 3 ; 5 ; 18
10
12
14
16
18
20
Ordering Integers
Locate the numbers on a number line.
Positive numbers are always greater than negative numbers.
The least number is the farthest one to the left.
The greatest number is the farthest one to the right.
Order the following lists of numbers from greatest to least:
–75
35
95
-200 -180 -160 -140 -120 -100 -80 -60 -40 -20
–20
0
20
140
40
60
–190
80
100 120 140 160 180 200
Ordering Integers
Locate the numbers on a number line.
Positive numbers are always greater than negative numbers.
The least number is the farthest one to the left.
The greatest number is the farthest one to the right.
Order the following lists of numbers from greatest to least:
–75
35
95
-200 -180 -160 -140 -120 -100 -80 -60 -40 -20
–20
0
20
140
40
60
–190
80
100 120 140 160 180 200
140 ; 95 ; 35 ; –20 ; –75 ; –190
Ordering Percents
Order the numerical part as if it did not have a percent sign after it.
OR convert the percents to decimals, and then order the
numbers.
Order the following lists of numbers from least to greatest:
110%
10.5%
30%
25.4%
85%
32.1%
16%
8.7%
100%
0.01%
Ordering Percents
Order the numerical part as if it did not have a percent sign after it.
OR convert the percents to decimals, and then order the
numbers.
Order the following lists of numbers from least to greatest:
110%
30%
85%
16%
100%
16% ; 30% ; 85%; 100% ; 110%
10.5%
25.4%
32.1%
8.7%
0.01% ; 8.7% ; 10.5% ; 25.4% ; 32.1%
0.01%
Ordering Percents
Order the numerical part as if it did not have a percent sign after it.
OR convert the percents to decimals, and then order the
numbers.
Order the following lists of numbers from greatest to least:
93%
1.7%
26%
77.3%
47%
13.4%
2%
8.6%
10%
1.9%
Ordering Percents
Order the numerical part as if it did not have a percent sign after it.
OR convert the percents to decimals, and then order the
numbers.
Order the following lists of numbers from greatest to least:
93%
26%
47%
2%
10%
93% ; 47% ; 26%; 10% ; 2%
1.7%
77.3%
13.4%
8.6%
77.3% ; 13.4% ; 8.6% ; 1.9% ; 1.7%
1.9%
Ordering Percents
Order the following lists of numbers from least to greatest:
60%
13
20
0.63
6.5
6.1 × 10-1
1
12
6.5%
–66
1.5 × 102
Order the following list of numbers from greatest to least:
6
15
4
3
5
4.25
4
3
8
4.3%
6.15 × 10-1
Ordering Percents
Order the following lists of numbers from least to greatest:
60%
0.63
6.1 × 10-1
–66
–66 ; 60% ; 6.1 × 10-1 ; 0.63
13
6.5
20
6.5% ;
1
12
6.5%
1.5 × 102
13
1
; 1 ; 6.5 ; 1.5 × 102
20
2
Order the following list of numbers from greatest to least:
6
15
4
3
4.25
5
4
4
3
8
4.3%
6.15 × 10-1
3
3
6
; 4 ; 4.25 ; 6.15 × 10-1 ;
; 4.3%
5
8
15
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