Fractions on the Number Line

Q.

The rational numbers $\frac{1}{3}$ and $-\frac{1}{3}$ are on the _____ sides of zero on the number line.

Q.

Arrange the following fractions in ascending order,
fractions:$\frac{12}{16}$, $\frac{4}{9}$ and $\frac{6}{10}$

1. 6/10, 4/9, 12/16

2. 4/9, 6/10, 12/16

3. 12/16, 6/10, 4/9

4. 12/16, 4/9, 6/10

Q. Which of the following fractions lie between 2 and 3 on number line?

1. $\frac{13}{3}$
2. $\frac{9}{4}$
3. $\frac{8}{3}$
4. $\frac{1}{3}$

Q.

Which of the following fractions lie between $\frac{3}{8}$ and $\frac{7}{8}$ on the number line?

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

2. $\frac{9}{8}$

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

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

Q. The value of the mixed fraction $5\frac{3}{8}$ is:

1. $5.735$
2. $5.875$
3. $5.375$
4. $5.625$

Q.

Mark the fractions on the number line.

$\frac{9}{8}$

Q. Insert one fraction between:
$\left(i\right)$ $\frac{3}{7}$ and $\frac{4}{9}$

Q. Which of the following shows $\frac{1}{2}$ and $1\frac{1}{2}$ on the number line?

1. 
2. 
3. 
4. 

Q. Insert three fractions between:
$\left(i\right)$ $\frac{2}{5}$ and $\frac{4}{9}$

Q.

Question 5(h) :

How quickly can you do this? Fill appropriate sign (<, =, >):

$\frac{6}{10}\square \frac{4}{5}$

Q. Insert one fraction between:
$\left(ii\right)$ 2 and $\frac{8}{3}$

Q. Insert two fractions between:
$\left(ii\right)$ $\frac{5}{9}$ and $\frac{1}{4}$

Q. Insert three fractions between:
$\left(ii\right)$ $\frac{1}{2}$ and $\frac{5}{7}$

Q. Arrange the fractions in ascending order.

1. 49
2. 56
3. 412
4. 23

Q. Jacob is playing in the park with pebbles. he made a straight line using pebbles by placing them one after another and calculated the distance between them as $\frac{11}{3}$ cm. what is the correct representation of this distance on number line ?

1. 
2. 
3. 
4. 

Q.

The rational numbers $\frac{1}{2}$ and $-\frac{5}{2}$ are on the opposite sides of $0$ on the number line.
State whether the statement is true (T) or false (F).

1. True
2. False

Q. Madhavi eats $\frac{1}{4}$ of a chocolate divided into $20$ parts. Then she divides another one in $5$ equal parts and eats $3$ of them. What is the total fraction of chocolates that she has eaten?

1. $3\frac{4}{5}$
2. $5\frac{3}{5}$
3. $1\frac{8}{5}$
4. $7\frac{8}{10}$

Q. Where does $\frac{7}{4}$ lie on the number line?

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

Q. Arrange the following fractions in ascending order from top to bottom.

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

Q.

Express $\frac{2}{7}+\frac{4}{7}$ in the simplest form .

Q. There are fractions between $\frac{2}{9}$ and $\frac{5}{9}$ on the number line.

1. 2
2. infinite
3. zero
4. 5

Q.

Which of the following fractions lie between $\frac{3}{8}$ and $\frac{7}{8}$ on the number line?

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

2. $\frac{9}{8}$

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

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

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

Q. This section contains 1 Matrix Match type question, which has 2 Columns (Column I and Column II). Column I has four entries (A), (B), (C) and (D), Column II has four entries (P), (Q), (R) and (S). Match the entries in Column I with the entries in Column II. Each entry in Column I may match with one or more entries in Column II.
इस खण्ड में 1 मैट्रिक्स मिलान प्रकार का प्रश्न है, जिसमें 2 कॉलम (कॉलम I तथा कॉलम II) हैं। कॉलम I में चार प्रविष्टियाँ (A), (B), (C) तथा (D) हैं, कॉलम II में चार प्रविष्टियाँ (P), (Q), (R) तथा (S) हैं। कॉलम I में दी गयी प्रविष्टियों का मिलान कॉलम II में दी गयी प्रविष्टियों के साथ कीजिए। कॉलम I में दी गयी प्रत्येक प्रविष्टि का मिलान कॉलम II में दी गयी एक या अधिक प्रविष्टियों के साथ हो सकता है।

Points L and O lie on same side of line segment MN such that LM = ON and LN = OM. LN and OM intersect each other at P.

बिंदु L व O रेखाखण्ड MN के एक ही ओर स्थित हैं जबकि LM = ON तथा LN = OM हैं। LN व OM एक दूसरे को P पर प्रतिच्छेद करते है।

Match the Columns and choose the appropriate answer

कॉलमों का मिलान करें और सही उत्तर चुनें

	Column I कॉलम I		Column II कॉलम II
(A)	If ∠LMN = 80° and ∠MNL = 30°, then ∠MON equals यदि ∠LMN = 80° तथा ∠MNL = 30°, तब ∠MON बराबर है	(P)	Supplement of 130° 130° का संपूरक कोण
(B)	If PM = MN, then the value of (∠MPN + 10°) is यदि PM = MN, तब (∠MPN + 10°) का मान है	(Q)	Complement of 20° 20° का पूरक कोण
(C)	If ∠PMN = 70°, then ∠PNM equals यदि ∠PMN = 70°, तब ∠PNM बराबर है	(R)	Complement of 40° 40° का पूरक कोण
(D)	If ∠LMP = 50°, then ∠ONP equals यदि ∠LMP = 50°, तब ∠ONP बराबर है	(S)	Supplement of 110° 110° का संपूरक कोण

1. A-QS, B-QS, C-QS, D-PR
2. A-PS, B-PS, C-QS, D-P
3. A-RS, B-RQ, C-RQ, D-PR
4. A-PQ, B-QR, C-PS, D-PQR

Q. Arrange the following mixed fractions in the increasing order.

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

Q. There are five equally spaced planks on a m long track.

On representing it on a number line, it needs equal division.

1. 3
2. 4
3. 5
4. 6

Q.

In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]

Q.

Write each fraction inits lowest terms :

$\frac{46}{69}$

Q. Insert a fraction between $\frac{12}{5}$ and $\frac{5}{4}$ and then again insert a fraction between the obtained fraction and $\frac{9}{2}.$

1. $\frac{11}{26}$
2. $\frac{13}{28}$
3. $\frac{26}{11}$
4. $\frac{28}{13}$

Q.

Bill took his time to admire the “House of Rational Numbers, Q”. He observed an interesting feature of the occupants on Earth 2.

The physical size of the occupants depends on their numerical value, i.e. if “a” and “b” are two occupants of the house, the sizes of “a” and “b” depend on the numerical values“a” and “b”. If a $>$ b, then “a” would appear larger and if a $<$ b, “a” would appear smaller compared to “b”

Bill noticed TWO occupants of the house which were equal in size. Who could these occupants be? Choose all the correct possible pairs.

1. (1/2) and (5/10)

2. (4/7) and (6/9)

3. (6/11) and (60/110)

4. (5/7) and (10/12)