Comparison of Rational Numbers

Q.

Arrange the following in ascending order.

$\frac{4}{7},\frac{5}{9},\frac{2}{5}$

Q.

Arrange the following in descending order:

$\frac{2}{9},\frac{2}{3},\frac{8}{21}$

Q.

Question 72

Arrange the rational numbers$\frac{-7}{10},\frac{5}{-8},\frac{2}{-3},\frac{-1}{4},\frac{-3}{5}$ in ascending order.

Q.

List three rational numbers between $–2$ and $–1$.

Q.

A fraction is in its lowest terms if its numerator and denominator have no common factor other than

1. 1

2. 3

3. 0

4. 2

Q.

Which of the following is a rational number equal to $\frac{4}{7}$ with 16 as the numerator?

1. $\frac{16}{21}$

2. $\frac{16}{15}$

3. $\frac{16}{28}$

4. $\frac{16}{20}$

Q.

Arrange the following in ascending order:

$\frac{-5}{-6},\frac{11}{12},\frac{-17}{18},\frac{23}{-24}$

Q.

Scheduling is done so as to

Q.

Compare the following rational numbers and Identify the correct option.

$\frac{3}{5}$___$\frac{2}{7}$.

1. >
2. <
3. =
4. None of the above

Q.

Arrange the following in ascending order:

$\frac{-7}{8},\frac{5}{6},\frac{6}{-7}$

Q. Among the given numbers, select the number which lies between $\frac{1}{2}$ and $\frac{8}{9}$?

1. $0$
2. $\frac{5}{6}$
3. $\frac{6}{5}$
4. $\frac{1}{3}$

Q.

From a rope $11m$ long, two pieces of lengths $2\frac{3}{5}m$ and $3\frac{3}{10}m$ are cut off. What is the length the remaining rope?

Q.

Question 9 (i)

Which is greater in each of the following:
$\frac{2}{3},\frac{5}{2}$

Q.

Question 83 (i)

Which is greater in the following?
$\frac{3}{4},\frac{7}{8}$

Q.

Question 12

Which is greater number in the following?

(a) $\frac{-1}{2}$
(b) 0
(c) $\frac{1}{2}$
(d) -2

Q.

$\frac{-7}{2}$ lies between $-3$ and $-4$

1. True
2. False

Q.

Question 10 (i)

Write the following rational numbers in ascending order:
$\frac{-3}{5},\frac{-2}{5},\frac{-1}{5}$

Q.

Arrange the numbers $\frac{1}{4},\frac{13}{16},\frac{5}{8}$ in the descending order.

Q.

Solve: $\frac{17}{24}\times \frac{9}{18}$.

Q.

Question 8 (i)

Fill in the boxes with the correct symbol out of <, > and =:
$\frac{-5}{7}$ ____ $\frac{2}{3}$

Q.

Arrange the numbers in ascending order $\frac{5}{4},\frac{2}{3},\frac{6}{8},\frac{8}{5},\frac{9}{2}.$

1. 2/3 < 6/8 < 5/4 < 8/5 < 9/2

2. 5/4 < 6/8 < 2/3 < 8/5 < 9/2

3. 9/2 < 8/5 < 5/4 < 6/8 < 2/3

4. 9/2 < 2/3 < 5/4 < 8/5 < 6/8

Q.

Question 90 (c)

Given that, $\frac{p}{q}$ and $\frac{r}{s}$ are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers, we say that
$\frac{☐}{☐}<\frac{☐}{☐}$, if $p\times s>r\times q$

Q.

Question 83 (ii)

Which is greater in the following?
$-3\frac{5}{7},3\frac{1}{9}$

Q.

If sum of two numbers is $6$, then the minimum value of the sum of their reciprocals is

1. $\frac{6}{5}$

2. $\frac{3}{4}$

3. $\frac{2}{3}$

4. $\frac{1}{2}$

Q.

Find ten rational number between -$\frac{2}{5}$ and $\frac{1}{2}$. [4 MARKS]

Q. Which of the following show the correct representation of $1\frac{1}{4}$ and $2\frac{5}{8}$ on a number line?

1. 
2. 
3. 
4. 

Q.

$5$ more than $-7$ is

1. $2$

2. $-2$

3. $5$

4. $-5$

Q.

Find the product of:-

$\frac{3}{5}\times 6$

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

Q.

Question 76 (i)

Write the next three rational numbers to complete the pattern:

$\frac{4}{-5},\frac{8}{-10},\frac{12}{-15},\frac{16}{-20},$ __ ___ ___