Sample QuestionsRational Numbers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
- ✓
Both positive and negative
- B
- C
- D
Answer: A.
View full solution →What should be subtracted from $-\frac{5}{4}$ to get $-1?$
- ✓
$ -\frac{1}{4}$
- B
$\frac{1}{4}$
- C
$1$
- D
$-\frac{3}{4}$
Answer: A.
View full solution →Which of the following is the Multiplicative identity for rational numbers?
Answer: A.
View full solution →The reciprocal of $\frac{1}{\text{x}}(\text{x}\neq0)$ is:
- ✓
$x$
- B
$\frac{1}{\text{x}}$
- C
$1$
- D
$0$
Answer: A.
View full solution →Which of the following is the identity element under addition?
Answer: C.
View full solution →$0$ is the smallest rational number.
View full solution →$2 \frac{3}{4} \times 3 \frac{2}{7} \times 5 \frac{1}{2} \times 0=0$
View full solution →On the number line, positive numbers are represented on the right side of zero.
$\left(-6 \frac{1}{2}\right)$ lies between $5$ and $6 .$
View full solution →$-\frac{5}{11} \times \frac{5}{11}=(-1)$
View full solution →Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$ : Rational numbers are commutative for addition.
Reason $(R)$ : Rational numbers are commutative under addition and multiplication
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: A.
View full solution →Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$ : Natural numbers are associative for subtraction
Reason $(R)$ : The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- ✓
$A$ is false but $R$ is true
Answer: D.
View full solution →Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$ : Whole numbers are not closed under subtraction
Reason $(R)$ : A rational number is a number that is in the form of $\frac{\text{p}}{\text{q}}$ where $p$ and $q$ are integers, and $q$ is not equal to $0.$
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- ✓
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: B.
View full solution →Directions : In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$ : Integers are associative for division
Reason $(R)$ : The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- ✓
$A$ is false but $R$ is true
Answer: D.
View full solution →Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$ : Rational numbers are not associative for addition
Reason $(R)$ : The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- ✓
$A$ is false but $R$ is true
Answer: D.
View full solution →Tell what property allows you to compute $\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)$ as $\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$.
View full solution →Name the property under multiplication used in each of the following.: $\frac{-19}{29} \times \frac{29}{-19}=1$
View full solution →Name the property under multiplication used in each of the following.: $-\frac{13}{17} \times \frac{-2}{7}=\frac{-2}{7} \times \frac{-13}{17}$
View full solution →Find $\frac{3}{7}+\left(\frac{-6}{11}\right)+\left(\frac{-8}{21}\right)+\left(\frac{5}{22}\right)$
View full solution →Find $\quad \frac{2}{5} \times \frac{-3}{7}-\frac{1}{14}-\frac{3}{7} \times \frac{3}{5}$
View full solution →Find $\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times\left(\frac{-14}{9}\right)$
View full solution →Find $\frac{3}{7}+\left(\frac{-6}{11}\right)+\left(\frac{-8}{21}\right)+\left(\frac{5}{22}\right)$
View full solution →Find the multiplicative inverse of the following:$\frac{1}{5}$
View full solution →Find the multiplicative inverse of the following:$-1$
View full solution →Name the property under multiplication used in the following:$-\frac{13}{17}\times\frac{-2}{7}=\frac{-2}{7}\times\frac{-13}{17}$
View full solution →Name the property under multiplication used in the following: $\frac{-4}{5}\times1=1\times\frac{-4}{5}=-\frac{4}{5}$
View full solution →Name the property under multiplication used in the following:$\frac{-19}{29}\times\frac{29}{-19}=1$
View full solution →
| Section ‘A’ |
Section ‘B’ |
| (1) Reciprocal of $\frac{3}{2}$ |
(a) $-\frac{2}{3}$ |
| (2) Opposite of $\frac{3}{2}$ |
(b) $\frac{2}{3}$ |
| (3) Reciprocal of $\frac{2}{3}$ |
(c) $-\frac{3}{2}$ |
| (4) Opposite of $\frac{2}{3}$ |
(d) $\frac{3}{2}$ |
| Section ‘A’ |
Section ‘B’ |
| (1) The additive inverse of $(-2)$ |
(a) $(-2)$ |
| (2) The additive inverse of $2$ |
(b) $-\frac{1}{2}$ |
| (3) The additive inverse of $\frac{1}{2}$ |
(c) $\frac{1}{2}$ |
| (4) The reciprocal of $2$ |
(d) $2$ |
............is a rational number between $0$ and $1. \left(0.5,-0.5, \frac{-5}{10}\right)$
View full solution →in $2 \frac{3}{8}$ ........... is an integer. $\left(2, \frac{3}{8}, 3\right)$
View full solution →The sum of two rational numbers carried out in any order is always the........... (different, same, vary)
$(-2)<............<(-1)$
View full solution →Zero, positive integers, ............ and fractions together form the collection of rational numbers. $($terminating decimal, $1,$ negative integers$)$
View full solution →