Rational Numbers between Two Rational Numbers

Q.

Find six rational numbers between $3$ and $4$

Q.

Between any two distinct rational numbers, there is always a rational number.

1. True
2. False

Q.

Question 66

Write six distinct integers whose sum is 7.

Q. Which of the following is a rational number
$\text{between}\frac{1}{6}\text{and}\frac{1}{4}?$

1. $\frac{5}{24}$
2. $\frac{24}{5}$
3. $\frac{25}{5}$
4. $0$

Q.

-6 divided by 0 is ____

1. not defined

2. 0

3. 1

4. 6

Q.

Which of these numbers is the largest?

1. 0.325

2. 0.3225

3. 0.3249

4. 0.316

Q. Which of the following is the smallest rational number?

1. -6/8
2. -9/36
3. -25/20
4. -5/10

Q. During experiments, Madam Curie notes numbers 1.125, 2.125, 1.6080339887... Among these numbers, is an irrational number.

1. 1.125
2. 2.125
3. 1.6080339887...

Q. The place value of '1' in the number '12' is 10.

1. False
2. True

Q.

Between any two numbers, there can be an infinite number of____.

(i) natural numbers
(ii) whole numbers
(iii) integers
(iv) rational numbers

1. (i), (ii), (iii), (iv)

2. (ii), (iii), (iv)

3. (iv)

4. (iii), (iv)

Q. Difference of the smallest two-digit number and 1 will be equal to____.

1. 10
2. 8
3. 9
4. 7

Q. During experiments, Madam Curie notes numbers 1.125, 2.125, 1.6080339887... Among these numbers, is an irrational number.

1. 1.125
2. 2.125
3. 1.6080339887...

Q. ................. states the possibility of the prime factorization of any natural number is unique. The numbers can be multiplied in any order.

1. Remainder theorem
2. none of the above
3. Fundamental theorem of arithmetic
4. Pythagora's theorem

Q. Divide 184 into two parts such that one - third of one part may exceed one - seventh of other part by 8.

Q.

Between two distinct rational numbers, any number of rational numbers can be inserted.

1. True
2. False

Q. Simplify:
$2\frac{2}{3}\times 2\frac{1}{2}\times 1\frac{2}{3}\times 6\frac{5}{7}$

Q.

Which of these numbers is the largest?

1. 0.316

2. 0.3225

3. 0.3249

4. 0.325

Q. Match the following rational numbers to the corresponding integers they lie between on the number line.

1. 1 and 2
2. 0 and -1
3. -1 and -2
4. 0 and 1

Q. There are always _____ integers between every two non-consecutive integers.

1. finitely many
2. infinitely many
3. zero
4. only one

Q. What is 0.6 divided by 0.2?

1. 0.3
2. 30
3. 3
4. 0.03

Q. $\text{Integers that lie between}\frac{-1}{3}\text{and}\frac{-5}{2}\text{are}$ .

1. 0, -1
2. -1, -2
3. -2, -3

Q. The smallest number among $-\frac{2}{3}$, $-\frac{9}{6}$, $-\frac{5}{2}$ and $-\frac{3}{4}$ is .

1. $\frac{-9}{6}$
2. $\frac{-2}{3}$
3. $\frac{-5}{2}$
4. $\frac{-3}{2}$

Q.

The sale of an Indian car comany A (in rupees) in India was 8 crore 82 lacs last month, and sale of the last month of the same comany outside India (in rupees) was 82 million. Find the difference in the sale in India and outside India and represent it in Indian number system.

Q. How many whole numbers are there between 21 and 61?

Q. Subtract:
$2\frac{2}{3}-1$

Q. Choose the correct option:
4:5 is __________ 3:4.

1. smaller than
2. greater than
3. equal to
4. less than or equal to

Q. Write all integers between:

(i) −7 and 3
(ii) −2 and 2
(iii) −4 and 0
(iv) 0 and 3

Q. Find 5 rational number between $\frac{-4}{5}$ and $\frac{-2}{3}$

Q. How many integers are between?

(i) −4 and 3
(ii) 5 and 12
(iii) −9 and −2
(iv) 0 and 5

Q. The distance covered by four persons in a relay race is given in the line plot. Find the total distance covered by them.

1. 5$\frac{1}{2}$ mi
2. 6$\frac{1}{4}$ mi
3. 4$\frac{1}{2}$ mi
4. 3$\frac{1}{2}$ mi