Comparing Rational Numbers

Q.

Represent the following rational numbers on a number line.

$\frac{3}{8},\frac{-7}{8},\frac{22}{-6}$

Q.

$\frac{5}{6}$, $\frac{7}{8}$, $\frac{3}{4}$, $\frac{4}{5}$ arranged in ascending order would be :

1. $\frac{3}{4}$ > $\frac{4}{5}$ > $\frac{5}{6}$ > $\frac{7}{8}$

2. $\frac{3}{4}$ < $\frac{5}{6}$ < $\frac{4}{5}$ < $\frac{7}{8}$

3. $\frac{4}{5}$ < $\frac{3}{4}$ < $\frac{5}{6}$ < $\frac{7}{8}$

4. $\frac{3}{4}$ < $\frac{4}{5}$ < $\frac{5}{6}$ < $\frac{7}{8}$

Q.

Arrange the descending order of fractions.

$\frac{7}{9},\frac{5}{12},\frac{11}{18}and\frac{17}{36}$

Q.

Out of the following rational numbers, which one is the greatest : $\frac{-4}{5}$, $\frac{-2}{3}$, $\frac{-7}{8}$ and $\frac{-5}{6}$

1. $\frac{-7}{8}$

2. $\frac{-5}{6}$

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

4. $\frac{-4}{5}$

Q.

Fill in the blanks:

$\frac{3}{5}-\frac{4}{7}=\_\_\_$

Q.

Ravi had 7 out of a dozen bananas and Raju had 13 out of a Score. So, Ravi had more bananas as compared to Raju. ( 1 Score = 20 )

1. True

2. False

Q.

The number $\frac{-4}{9}$ is greater than $\frac{-7}{9}$.

1. True

2. False

Q.

Which ratio is greater? $5:7or9:\hspace{0.17em}14$

Q.

Arrange the following in descending order:

$\frac{-25}{6},\frac{-15}{-4},\frac{53}{12},\frac{-17}{4}$

Q.

Question 4 (iv)

Draw the number line and represent the following rational number on it:
$\frac{7}{8}$

Q.

Arrange the numbers in descending order $\frac{7}{4},\frac{2}{3},\frac{3}{4},\frac{8}{5},\frac{9}{2}.$

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.

The points A, B and C represent the rational numbers.

1. A = $\frac{-1}{4}$ , B = $\frac{3}{4}$, C = $\frac{7}{4}$

2. A = $\frac{-1}{2}$ , B = $\frac{3}{4}$, C = $\frac{7}{4}$

3. A = $\frac{-1}{2}$ , B = $\frac{3}{4}$, C = $\frac{9}{4}$

4. A = $\frac{-3}{2}$ , B = $\frac{3}{4}$, C = $\frac{9}{4}$

Q.

If rational numbers are arranged in ascending order and we increase every number by 7.5 , what will happen to its order?

1. Order reverses and becomes descending

2. First half of the order gets interchanged with the second half

3. Order remains the same

4. Order of the first half remains the same, but that of the second half reverses

Q.

Find the distance between the two numbers
$-\frac{7}{9}and-\frac{2}{9}$

Q.

Question 4(a) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{1}{6}\square \frac{1}{3}$

Q.

The greatest rational number among the following is

1. $\frac{-3}{7}$

2. $\frac{-7}{3}$

3. $\frac{-5}{6}$

4. $\frac{-5}{2}$

Q. Are the following expressions true:

(a) $\frac{7}{13}<\frac{3}{8}$

(b) The rational number $\frac{-18}{-13}$ lies to the left of 0 on the number line.

[2 MARKS]

Q.

If rational numbers are arranged in ascending order and we increase every number by 7.5 , what will happen to its order?

1. Order remains the same

2. First half of the order gets interchanged with the second half

3. None of the above

4. Order Reverses and becomes descending

Q.

$\frac{-7}{5}$ is __ than -3.

Q.

Write each of the following rational numbers with positive denominators.

$\frac{5}{-8},\frac{15}{-28},\frac{-17}{-13}$

Q.

Which rational numbers do point A and point B represent in the below given number line?
(Assume that any two divisions between two integers in the given number line are equal.)

1. A = $\frac{2}{3}$ , B = $\frac{-4}{3}$

2. A = $\frac{1}{3}$ , B = $\frac{-4}{3}$

3. A = $\frac{2}{3}$ , B = $\frac{-3}{4}$

4. A = $\frac{1}{3}$ , B = $\frac{-3}{4}$

Q.

The number $\frac{-4}{9}$ is greater than $\frac{-7}{9}$.

1. True

2. False

Q.

Which of the following form a pair of equivalent rational numbers?

1. $\frac{24}{46}$ and $\frac{18}{46}$

2. $\frac{24}{44}$ and $\frac{12}{46}$

3. $\frac{24}{46}$ and $\frac{12}{46}$

4. $\frac{24}{46}$ and $\frac{12}{23}$

Q.

Compare $\frac{3}{7}$ and $\frac{4}{8}$.

1. None of the above

2. 9/2

3. -11/8

4. -2

Q.

Write each of the following rational numbers with positive denominators.

$\frac{5}{-8},\frac{15}{-28},\frac{-17}{-13}$

Q.

Pick out the greater fraction

$\frac{7}{9}or\frac{37}{63}$

Q.

$\frac{-7}{5}$ is __ than -3.

Q. Which is greater:
$0.8$ or $0.88$.

Q.

Write each of the following rational numbers with positive denominators.

$\frac{5}{-8},\frac{15}{-28},\frac{-17}{-13}$

Q. Represents each of the following rational numbers on the number line:
$\left(3/4\right)$