Math 6/7 NOTES (1.5)
Name:_______________________________
Comparing and Ordering Rational Numbers
To Order Fractions, Decimals & Percents:
1. Convert all numbers to a common format. (Hint: look for the conversion that is easiest)
2. Put them in the required ordered. (Least to Greatest or Greatest to Least)
3. Rewrite in the original format.
Let’s Review: Order the following decimals from least to greatest:
1) 0.402, 0.42, 0.375, 1.2
2)
�, 0.321, 2.52
�, 2.𝟓
0.3𝟐
Compare the following rational numbers using >, <, or =
1) 10%
3
4) 2 4
1
8
2.75%
2) 0.5
5) 15%
3
5
1
5
3) 1.7
170%
6) 50%
0.05
Order the following numbers from least to greatest:
7)
135%, 13.5, 8
3
5
8)
1
6
, 16.7%, 0.16
Order the following numbers from greatest to least:
9)
0.42, 4.2%,
2
5
1
10)
3 , 3.34, 300%
12)
4, 0.8, 50%, 0
14)
125%, 1 , 1.26
3
Put the following in ascending order:
11)
45%,
1
, 0.6, 1
2
Put the following numbers in descending order:
13)
45%,
1
, 0.045
2
1
2
Locate the following rational numbers on the number lines below.
15)
3
10
, 10%, 0.5, 60%
16)
1
75%, 0.25, , 1
2
Math 6/7 HOMEWORK (1.5)
Name ________________________
For the problems below, put the numbers in ascending order.
1)
0.23, 2.30%,
1
2)
5
1.7%, 17,
17
100
For the problems below, put the numbers in descending order.
2
3)
1.25, 1 , 12.5%
5)
At Jeremy’s high school, about
4)
5
3
16
5%,
1
2
, 0.005
of the students are in the band, 0.31 of high school
students play at least one sport, and 13% are in the drama club. List these types of
activities from least to most popular.
6)
You can express a percent as a fraction by writing it as a fraction with a denominator of
____________.
7)
Rewrite 10% as a fraction.
8)
Rewrite as a decimal.
9)
Rewrite 0.67 as a percent.
2
5
10)
There are 14 black pens out of 25 pens. What percent of the pens are black?
11)
About 17% of kids will attend an overnight summer camp, 50 will attend a day camp, and 0.59 will
11
attend no summer camp at all. Which group of kids is the greatest?
12)
In a recent year, Major League Baseball player Jack Wilson’s batting average was 0.308. Melvin Mora
hit safety 17 out of every 50 at-bats and Bobby Abreu hit safety 30.1% of the time. Find Mora’s and
Abreu’s batting averages and order all three averages from least to greatest.
13)
Complete the table below.
Fractions
Decimals
Percent
0.25
7
5 10
7%
1
3
Locate the following rational numbers on the number lines below.
14)
1
3
, 66.6% , 0,
9
3
15)
1
12.5% , 0.375, , 62.5%
4