Grade 9Number System

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Answer the questions

(1)Express the following numbers in the form of

p

q and reduce it to the lowest terms.

A) 0.2 B) 0.1 C) 0.5

D) 0.6 E) 0.7 F) 0.4

(2)Find 20 rational numbers between

-2

25 and

22

25 .

(3)Express the following numbers in the form of

p

q and reduce it to the lowest terms.

A) 0.5986 B) 0.38796 C) 0.93268

D) 0.6237 E) 0.71132 F) 0.94848

(4) Name the property that is reflected in the following expression:

A)

6

-24 X

-11

3 +

-14

-21 X

-11

3 =

-11

3 (

6

-24 +

-14

-21 )

B) -11

12 X

8

-18 +

-7

13 X

8

-18 =

8

-18 (

-11

12 +

-7

13 )

(5) Write the rational number that are equal to their reciprocals.

Choose correct answer(s) from given choice

(6) Choose an irrational number among the following :

a. b. -25

c. 25 d.

(7) If a and b are rational numbers such that , than the possible values of a and beare :

a. a = , b = b. a=0, b=0 OR a = , b =

c. a=0, b=0 d. a = , b =

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(8) Regarding rational numbers:A. The quotient of two integers is always a rational number and

B. 1

0 is not a rational number

Which of the following statements is correct ?

a. A is false but B is a correct explanation of A b. A is correct and B is correct explanation of A

c. Both A and B are incorrect. d. A is correct but B is incorrect.

(9)If

1

-7 =

-3

X , then X = ___________

a. 14 b. -21

c. 21 d. None of these

(10) Which of the following is a rational number(s) ?

a. -11

-7 b.

5

-12

c. 0

12

d. All of these

(11)Is variable x in x2=

11

25 represents a rational or irrational number ?

a. Irrational b. Rational

(12) Which of the following statement is true ?

a. 6

-4 >

6

-5 b.

6

-5 >

-30

25

c. 6

-5 =

-30

25 d.

6

-5 <

-30

25

(13) The value of is

a. 0 b. 2.828

c. 8 d. 1

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Fill in the blanks

(14) Find the following and simplify it to lowest term:

A)

-6

19 X

-7

2 X

-1

14 =

B)

-5

7 X

-9

22 X

-2

24 X

-3

10 X

5

21 =

(15)The decimal form of a rational number is either or .

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Answers

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(1) A) 2

9

B) 1

9

C) 5

9

D) 2

3

E) 7

9

F) 4

9

(2)

-1

25 ,

0

25 ,

1

25 ,

2

25 ,

3

25 ,

4

25 ,

5

25 ,

6

25 ,

7

25 ,

8

25 ,

9

25 ,

10

25 ,

11

25 ,

12

25 ,

13

25 ,

14

25 ,

15

25 ,

16

25 ,

17

25 ,

18

25

(3) A) 5927

9900

B) 19379

49950

C) 3727

3996

D) 2077

3330

E) 23687

33300

F) 47377

49950

(4) A) Distributive Property

B) Distributive Property

(5) 1, -1

(6) d.

(7) c. a=0, b=0

(8) a. A is false but B is a correct explanation of A

(9) c. 21

(10) d. All of these

(11) a. Irrational

(12)c.

6

-5 =

-30

25

(13) c. 8

(14) A)-3 38

B)15 8624

(15)repeating terminating

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