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Published on: 29/08/2019
Rational Numbers
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Questions + Answers key
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1.
Which of the following is the additive inverse \(\frac{-4}{7}\) ?
\(\frac{-4}{7}\)
\(\frac{4}{7}\)
Zero
\(\frac{5}{4}\)
2.
What is the value of \(\left( \frac { -7 }{ 5 } \right) \times \left( \frac { -15 }{ 14 } \right) \) ?
\(\frac{-31}{15}\)
\(\frac{31}{15}\)
\(\frac{15}{31}\)
\(\frac{15}{-31}\)
3.
Which of the following is the standard form \(\frac{36}{-24}\)is
\(\frac{-3}{2}\)
\(\frac{3}{2}\)
\(\frac{2}{3}\)
\(\frac{2}{-3}\)
4.
Which of the following rational numbers is negative?
\(-\left( \frac { -3 }{ 7 } \right) \)
\(\frac { -5 }{ -8 } \)
\(\frac { 9 }{ 8 } \)
\(\frac { 3 }{ -7 } \)
5.
Which of the following rational numbers is postive?
\(\frac { -8 }{ 7 } \)
\(\frac { 19 }{ -13 } \)
\(\frac { -3 }{ -4 } \)
\(\frac { -21 }{ 13 } \)
6.
\(\frac{-3}{5}\) is ____________ than 0.
7.
\(\frac{-1}{2}\) is__________than \(\frac{1}{5}\)
8.
On a number line \(\frac { -1 }{ 2 } \) is to the _______ of zero (0)
9.
1 is a ________ rational number .
10.
\(\frac { -3 }{ 8 } \) is a _________ rational number.
11.
Every negative integer is not a negative rational number.
12.
Zero is a rational number.
13.
All decimal numbers are also rational numbers.
14.
Sum of two rational numbers is always a rational number.
15.
Every natural number is a rational number, but every rational number need not be a natural number.
16.
0.14 is equivalent to:
17.
The rational number to be subtracted from \(\frac{-3}{7}\) to get \(\frac{5}{21}\) is:
18.
Th additive inverse of \(\frac{-3}{4}\div\frac{-4}{5}\) is:
19.
\(\frac { a }{ b } \div \frac { c }{ d } \)
20.
\(\frac { a }{ b } \div \frac { a }{ b } \)
21.
What should be added to \(\frac{-3}{4}\) to get 0?
22.
Find X if sum of \(\frac{-1}{2}\) and x is 0.
23.
If product of two rational numbers is \(\frac{-8}{9}\) and one of the number is\(\frac{-10}{3}\) find the other.
24.
Divide \(\frac{12}{5}\) by \(\frac{21}{25}\)
25.
Find X, such that \(\frac{-5}{8}\)=\(\frac{x}{-32}\) are equivalent fraction.
1.
(b)
\(\frac{4}{7}\)
2.
(a)
\(\frac{-31}{15}\)
3.
(a)
\(\frac{-3}{2}\)
4.
(d)
\(\frac { 3 }{ -7 } \)
5.
(c)
\(\frac { -3 }{ -4 } \)
6.
( )
less
7.
( )
less
8.
On a number line \(\frac { -1 }{ 2 } \) is to the left of zero (0)
9.
1 is a positive rational number [ \(\because \) 1 has positive sign]
10.
\(\frac { -3 }{ 8 } \) is a negative rational number [\(\because \) 3 has negative sign]
11.
(b)
12.
(a)
13.
(a)
14.
(a)
15.
(a)
16.
( )
0.140
17.
( )
\(\frac{-2}{3}\)
18.
( )
-\(\frac{15}{16}\)
19.
( )
\(\left( \frac { ad }{ bc } \right) \)
20.
( )
1
21.
( )
\(\frac{3}{4}\)
22.
( )
x-\(\frac{1}{2}\)=0
x=\(\frac{1}{2}\)
23.
( )
Let other number be x
\(x\times \left( \frac { -10 }{ 3 } \right) =\frac { -8 }{ 9 } \)
\(x={8\times3\over10\times9}\)
=\(\frac{4\times1}{5\times3}=\frac{4}{15}\)
24.
( )
\(\frac{12}{5}\div\frac{21}{25}\)
=\(\frac{12}{5}\times\frac{25}{21}\)
=\(\frac{12\times5}{21}\)
=\(\frac{4\times5}{7}=\frac{20}{7}\)
25.
( )
\(\frac{-5}{8}=\frac{x}{-32}\)
\(\Rightarrow \) (-5) (-32) = 8x
\(\Rightarrow \) x=\(\frac{5\times32}{8}=20\)
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