Math 6/7 NOTES (4.2b)
Name:_______________________________
Comparing and Ordering Rational Numbers
To Order Rational Numbers (Fractions, Decimals, Percents & #’s written in Scientific Notation)
1. Convert all numbers to a common format.
2. Put them required ordered.
3. Rewrite in the original format.
Review: Order the following decimals from least to greatest:
1) 0.402, 0.42, 0.375, 1.2
Answer:
2)
0.3 ̅, 2. ̅, 0.321, 2.52
Answer:
3)
7. ̅; 7.88; 8.01; 7.79
Answer:
Compare the following rational numbers using >, <, or =
1) 10%
4)
2.75%
2) 0.5
3) 1.7
170%
5) 15%
6) 50%
0.05
Order the following numbers from least to greatest:
7)
135%, 13.5, 8 , 3.9 ×
8)
, 16.7%, 0.16, 3.2 ×
Order the following numbers from greatest to least:
9)
0.42, 4.2%,
, 4.1 ×
10)
3 , 3.34, 300%, 4 ×
12)
4², 0.8, 50%, 0, 5.91 ×
Put the following in ascending order:
11)
13)
45%,
, 0.6, 1²
, –10%, (–5)², – 0.6
14) 5.91 ×
; 5.01 ×
; 5.18 ×
; 8.45 ×
Put the following numbers in descending order:
15) 45%, 4.6 ×
,
, 0.045
16) 125%, 1.2 ×
, 1 , 1.26
17) About 17% of kids will attend an overnight summer camp,
will attend a day camp, and 0.59 will attend
no summer camp at all. Which group of kids is the greatest?
18) 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.
Fractions
Decimals
– 0.25
Percent
Scientific Notations
5
7%
8x
13. ̅
Review
19) A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level. Find the
distance it moved between two positions. Use the “distance on the number line “formula.
20) Write number sentences represented on the following models
a) ____________________
b) ____________________
c) ____________________
Calculate
21) 9 + (–15)(2)
22)
23) 2 · (−2)³
(4.2b) HOMEWORK
For the problems below, put the numbers in ascending order.
1)
0.23, 0.023 x
, 2.30%,
2)
0.017 x
, 1.7%, 0, 1.7 x
, 170
For the problems below, put the numbers in descending order.
3) –1.25, 1 , 1 , 4²,
4) 8.01 x
5) At Jeremy’s high school, about
, 5.45 x
,
, 3.79
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 ________________ as a fraction by writing it as a fraction with a denominator of 100.
7) Rewrite
as a fraction and as a decimal.
8) Evaluate
9) There are 14 black pens out of 25 pens. What percent of the pens are black?
10) Write 0.00000000082 using scientific notation.
11) Which numbers are not written in scientific notation (more than one)? Why?
a) 5 x
b) 10.2 x
c) 5.73 x
d) 0.8 x
e) 7.3 x
12) The Eagles lost a total of 54 yards over 9 plays. What is the average number of yards lost per play?