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Published on: 23/08/2019
Rational Numbers
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Questions + Answers key
Take MCQ Mathematics Test
1.
Which of the following statements is true?
Natural numbers are associative for addition
Whole numbers are not associative for addition
Integers are not associative for addition
Rational numbers are not associative for addition.
2.
Which of the following statements is true?
Natural numbers are closed under multiplication
Whole numbers are not closed under multiplication
Integers are not closed under multiplication
Rational numbers are not closed under multiplication.
3.
Which of the following statements is false?
Natural numbers are closed under subtraction
Whole numbers are not closed under subtraction
Integers are closed under subtraction
Rational numbers are closed under subtraction.
4.
The product of \(\frac { 1 }{ 5 } \) and \(-\frac { 1 }{ 5 } \) is -
0
1
\(\frac { 1 }{ 25 } \)
\(\frac { -1 }{ 25 } \)
5.
The sum of \(-\frac { 1 }{ 9 } \) and \(-\frac { 1 }{ 9 } \) is-
0
1
\(\frac { 2 }{ 9 } \)
\(\frac { -2 }{ 9 } \)
6.
Which of the following is neither positive nor a negative rational number?
1
0
Such a rational number does not exist
None of the above
7.
Which of the following is the multiplicative identity for rational numbers?
1
-1
0
None of these
8.
Which of the following is not true?
rational numbers are closed under addition
rational numbers are closed under subtraction.
rational numbers are closed under multiplication
rational numbers are closed under division
9.
One (1) is
the identity for addition of rational numbers.
the identity for subtraction of rational numbers.
the identity for multiplication of rational numbers
theidenttty for division of rational numbers.
10.
Which of the following is not true?
\(\frac{10}{11}+\frac{11}{12}=\frac{11}{12}+\frac{10}{11}\)
\(\frac{10}{11}\times \frac{11}{12}=\frac{11}{12}\times \frac{10}{11}\)
\(\frac{10}{11}+ \frac{11}{12}=\frac{11}{12}\div \frac{10}{11}\)
\(\frac{10}{11}\div \frac{11}{12}=\frac{11}{12}\times \frac{10}{11}\)
11.
Zero is the smallest rational number.
12.
The reciprocal of x-1 is \({1\over x}\)
13.
-1 is not the reciprocal of any rational number.
14.
Every rational number has a reciprocal
15.
All the natural numbers are whole numbers.
16.
______________is the only rational number which is equal to its additive inverse.
17.
The rational number _________is neither positive nor negative.
18.
The reciprocal of the reciprocal of a number is __________.
19.
The product of a number and its reciprocal is ___________.
20.
| Numbers | Closed under | |||
| Addition | Subtraction | Multiplication | Division | |
| Integers | ___________ | Yes | __________ | No |
21.
On a number line the rational number equidistant from a and -1 is:
22.
The product of (-3) and the negative reciprocal of 11/2, is:
23.
The reciprocal of (-1) is:
24.
a x (bx c) = (a x b)x c is called
25.
a(b+ c) = ab + ac is called
26.
Find five rational numbers between \(\frac { 1 }{ 3} \) and \(\frac { 1 }{ 5 } \)
27.
What is the additive inverse of ? \(\frac { 1 }{ 5 } \)
28.
What is the additive inverse of ? \(\frac { -1 }{ 13 } \)
29.
Which of a or 1 is the additive identity for rational numbers?
30.
Which of a or 1 is the multiplicative identity for rational numbers?
1.
(a)
Natural numbers are associative for addition
2.
(a)
Natural numbers are closed under multiplication
3.
(a)
Natural numbers are closed under subtraction
4.
(d)
\(\frac { -1 }{ 25 } \)
5.
(d)
\(\frac { -2 }{ 9 } \)
6.
(b)
0
7.
(a)
1
8.
(d)
rational numbers are closed under division
9.
(c)
the identity for multiplication of rational numbers
10.
(c)
\(\frac{10}{11}+ \frac{11}{12}=\frac{11}{12}\div \frac{10}{11}\)
11.
(b)
12.
(b)
13.
(b)
14.
(b)
15.
(a)
16.
( )
0
17.
( )
0
18.
( )
The number itself
19.
( )
1
20.
( )
| Numbers | Closed under | |||
| Addition | Subtraction | Multiplication | Division | |
| Integers | Yes e.g (-6+5=-1) Integers |
Yes(7-5=2) Integers |
yes (5x8=40) Integers |
No (5\(\div\)8)\(\neq\)Integers |
21.
( )
\(-\frac { 1 }{ 2 } \)
22.
( )
2
23.
( )
-1
24.
( )
Associative property for multiplication
25.
( )
Distributive property for addition
26.
( )
\(\frac { 13 }{ 60 } ,\frac { 14 }{ 60 } ,\frac { 15 }{ 60 } ,\frac { 16 }{ 60 } ,\) and \(\frac { 17 }{ 60 } \)
27.
( )
\(\frac { -1 }{ 5 } \)
28.
( )
\(\frac { 1 }{ 13 } \)
29.
( )
0
30.
( )
1
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