Rational Numbers Test

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Rational Numbers Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

For any three rational numbers a, b and c, a + (b + c) = __________.

A
(a + b) - c

B
(a - b) - c

C
(a + b) + c

D
(a - b) + c

Solution

Explanation:

The answer is ( a + b) + c ,
for example
5 + ( 6 + 7 ) = 5 + 13 = 18 and
(5 + 6 ) + 7 = 11 + 7 = 18
Question 2
1 / -0

Sum of two rational numbers is a _______.

A
negative number

B
none of these

C
rational number

D
irrational number

Solution

Explanation:

Sum of any two rational number is a rational number .for example 1/2 + 2/3=7/6 which is a rational number , 1/2 + (—1/2) = 0 and 0 is an integer and all integers are rational number
Question 3
1 / -0

A number which can be written in the form p/q , where p and q are integers and q≠ 0 is called a _________.

A
none of these

B
negative number

C
irrational number

D
rational number

Solution

The answer is rational number as every rational number is in the form of p/qwhere q≠0
Question 4
1 / -0

Find the multiplicative inverse of -13.

A
-13

B
12

C
13

D
−1/13

Solution

Multiplicative inverse or ( reciprocal ) of any given number is given by

1/number

Here, given number = -13 , so its multiplicative inverse = 1/−13
Question 5
1 / -0

Write the additive inverse of 2/3.

A
1

B
0

C
− 2/3

D
2/3

Solution

The additive inverse of any given number is the same number with opposite sign

Here the given number is 2/3 . So its additive inverse will be - 2/3
Question 6
1 / -0

Write the rational number that is equal to its reciprocal

A
1

B
-2

C
0

D
2

Solution

The answer is 1 because reciprocal of 1 is 1/1 which is equal to 1
Question 7
1 / -0

Find the reciprocal of -2.

A
1/3

B
-2

C
-1/2

D
2

Solution

The reciprocal of any number is given by :

1/number

So reciprocal of -2 = 1/—2
Question 8
1 / -0

_______= 1 ×a=a_______= 1 ×a=a for any rational number a.

A
a× 3

B
a× 1

C
a× 0

D
a× 2

Solution

Explanation:

The answer is a X 1 as any number multiplied with 1 is the number itself

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Rational Numbers Test - 1

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Rational Numbers Test - 1

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Question 1

(a + b) - c

(a - b) - c

(a + b) + c

(a - b) + c

Solution

Question 2

negative number

none of these

rational number

irrational number

Solution

Question 3

none of these

negative number

irrational number

rational number

Solution

Question 4

-13

12

13

−1/13

Solution

Question 5

1

0

− 2/3

2/3

Solution

Question 6

1

-2

0

2

Solution

Question 7

1/3

-2

-1/2

2

Solution

Question 8

a× 3

a× 1

a× 0

a× 2

Solution

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