Math 9 ­ Unit 3 ­ Ordering and Comparing Rational Numbers Name:_________________________________________ 1. Replace the ⊙with <,>, or = to make a true statement. − 7.8 ⊙ − 7.82 9.7 ⊙ − 10.3 − 58 ​
⊙ − 38
− 56 ​
⊙ − 0.94 2. ​
MONEY ​
Stephen recorded the following amounts in his checkbook: − $6.50 , $7.00 , − $6.75 , $7.25 Order these amounts from least to greatest. 3. Order the following from least to greatest. − 3 13 ,​
3.3 , − 3 34 ,​
3.5 4. ​
STOCK MARKET ​
The Change in the four stocks during a day are shown. Order the changes from least to greatest. Company Change A − 4 12 B 5.6 C − 2 38 D 1.35 5. ​
IN­LINE SKATING ​
The average amount of time Brent spent in­line skating for one week was 34 minutes. During the next week, the difference between the average time and actual time spent skating was 4.2 minutes, − 5 13 m
​inutes, − 2 12 minutes, and 3.75 minutes. Order these differences from least to greatest. 6. ​
SNACKS ​
The bar graph shows the profit or loss of the after­school snack stand. a. Write each profit as a positive number and each loss as a negative number. b. Order the numbers from least to greatest. 7. Determine whether the fractions − 45 , − 46 , − 47 , ​
and​
− 48 ​
are arranged in order from least to greatest. Explain your reasoning. 8. ​
REASONING ​
Determine whether the following statement is always, sometimes, or never true. Give examples to justify your answer. If x and y are both greater than zero and x > y, then -x < -y.
Spiral Review 1. Write each fraction as a decimal. a.
5
9
b. − 18
c. 23
2. Find the value of ​
x ÷ y​
​
if ​
x = -15​
and ​
y = -3
3. ​
BUSINESS ​
The table shows the results of a company’s operations over a period of three months. Find the company’s overall profit or loss over this time period. Month Profit Loss April $15,000 May $19,000 June $12,000