assignment ch 3 solutions

Mathematics 9 Assignment

Unit III – Rational Numbers

Calculators are not permitted for this part of the assignment.

Part A: Fill in the blanks (11pts)

1. Write a subtraction sentence the number line represents. ____________________

Use the following number line to answer 2, 3 and 4.

2. Which rational number does A represent on this number line above? ____________

3. Which rational number does b represent in the number line above? ____________

4. What is the difference in points A and B in the number line above? ______________

5. The bigger rational numbers out of 3.32, 3.32 is …………………….. ________________

6. Solve

(

) ……………………………………………………............. _______________

7. Solve

(

) …………………………………………………............ _______________

8. Solve (

) (

) ………………………………………………...... _______________

9. Solve ( ) ( ) ……………………………………………............. _______________

10. Solve ……………………………………………………........... ________________

11. What symbol >, <, or = should be placed between

and ? ________________

Part B: Multiple Choices. Circle the most appropriate response. (10 pts)

1. Choose the rational number represented by A.

a) 0.25

b) -0.1

c) -0.25

d) -0.75

2. Which of the following rational numbers are equal to 5

4 ?

a)

b)

c)

d)

3. Order the following rational numbers from least to greatest?

–1.5, ,

, 0.9, –2.50

a)

, –2.50 , –1.5,

, 0.9

b) –2.50 ,

, –1.5 ,

, 0.9,

c)

, –2.50 , –1.5 ,

, 0.9,

d) –2.50 , –1.5 ,

, 0.9,

4. The correct solution to : ( 0.32) 1.6

a) -2

b) -0.2

c) 0.2

d) 2

5. The sum of a positive number and a negative number is negative when:

a) the number with the higher value is positive.

b) the number with the higher value is negative.

c) It’s always negative because the signs are different.

d) It’s always positive because the signs are different.

6. What of the following rational numbers is the smallest?

,

,

,

a)

b)

c)

d)

7. Write this number as a decimal

?

a) 0.4

b) 0.2

c) 4.20

d) 4.40

e)

8. Evaluate; ( ) a) -6.0 b) -3.8 c) 3.8 d) 6.0

9. Which rational number is halfway between

and

?

a)

b)

c)

d)

10. Evaluate : 0.84 ( 0.5) ( 2.3)

a) -1.879

b) -1.512

c) 1.512

d) 1.879

You can use a calculator, but it must be a basic one.

Part C: Long Answer Questions (23 pts)

1. Sketch a number line and mark each rational number on it. Order the numbers from least to greatest. (5pts)

–3.1, 5

, 3

–1.2,1

 7

, 0.6

2. Identify 3 rational numbers between the following two numbers. Sketch on a number line. (3pts)

and

3. Evaluate. (3 pts each)

a)

(

) b)

(

)

4. Evaluate. Round to the answer to the nearest hundredth, if necessary. (5pts each)

a) 2 1 1 2

5 4 25 8 2 7

b) 1 3 9 3

2 5 10 5

c)

8.6 14.6 5.3 19.4 8.6

2.9 6.3 9.5

5. Two climbers leave base camp at the same time. Climber A ascends 416.7 m, while

climber B descends 315.4 m. How far apart are the climbers? Write a subtraction

statement using rational numbers to solve the problem. (2pts)

6. The following temperatures were recorded at the Port Hardy, B.C. airport at noon in one week: –2.3°C, –4.2°C, –1.4°C, 0.5°C, 1.3°C, –0.7°C, –3.8°C

What was the mean temperature at noon that week ,to the nearest tenth?(3 pts)

7. Billy runs

laps around the track in

hours. How many laps does he run in 1

hour? (2 pts)

8. Determine the missing number W. (3pts)

(

)