NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

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NCERT Solutions for Class 7 Mathematics Chapter 9 Rational Numbers are provided in this article. A rational number is a number that can be expressed as a ratio of p/q, where p and q are integers, and q does not equal to zero. The numerator and the denominator of a rational number will be integers. Some of the important topics in Rational Numbers chapter include:

Rationalize the Denominator
Number Systems
Operations on Rational Numbers
Relation Between HCF and LCM
Decimal Expansion of Rational Numbers
Irrational Numbers

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers is given below.

Class 7 Maths Chapter 9 Rational Numbers – Important Topics

Rational Number: A rational number is a number which is represented as a ratio of two numbers in the form p/q where 'q' is not equal to zero and both 'p' and 'q' are integers.

Number 8 can be written as fraction 8/1, it will be a rational number.
3/4 can be written as a fraction since it is a rational number.
We can write the decimal 1.5 as the ratio of 3/2. Therefore, it is also a rational number
O.333...can be written as 1/3. So it is a rational number
Recurring decimals like 0.262626..., all finite decimals andl integers are also rational numbers.

Example: If A had 5/8 litres of milk and gave 3/5 literes of milk to B. How much is left with A?

Ans. A gave 3/5 litres of milk from 5/8 litres.

Thus,

5/8 – 3/5

= (25 – 24) / 40

= 1/40 litres of milk is left with A.

NCERT Solutions for Class 7 Maths Chapter 9 Exercises

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Exercises are given below.

Read More:

Reciprocal and Division of Fractions	Properties of Rational Numbers	Reciprocals
Additive Identity and Multiplicative Identity	Distributive Properties	Distributive Properties Formula

Class 7 Maths Study Guides:

NCERT Solutions for Class 7 Maths	Number System	Geometry
Arithmetics	Basic Maths	Maths Formulas

CBSE X Related Questions

1.
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

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2.
An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.

View Solution

3.
The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :
Length (in mm)
Number of leaves
118 - 126
3
127 - 135
5
136 - 144
9
145 - 153
12
154 - 162
5
163 - 171
4
172 - 180
2
Find the median length of the leaves.
(Hint : The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to 117.5 - 126.5, 126.5 - 135.5, . . ., 171.5 - 180.5.)

Length (in mm)	Number of leaves
118 - 126	3
127 - 135	5
136 - 144	9
145 - 153	12
154 - 162	5
163 - 171	4
172 - 180	2

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4.
The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them
Monthly consumption
(in units)
Number of consumers
65 - 85
4
85 - 105
5
105 - 125
13
125 - 145
20
145 - 165
14
165 - 185
8
185 - 205
4

Monthly consumption (in units)	Number of consumers
65 - 85	4
85 - 105	5
105 - 125	13
125 - 145	20
145 - 165	14
165 - 185	8
185 - 205	4

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5.
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

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6.
Form the pair of linear equations for the following problems and find their solution by substitution method.
(i) The difference between two numbers is 26 and one number is three times the other. Find them.
(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
(iii) The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.
(iv) The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km.
(v) A fraction becomes\(\frac{ 9}{11}\), if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes \(\frac{5}{6}\). Find the fraction.
(vi) Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob’s age was seven times that of his son. What are their present ages?

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NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Class 7 Maths Chapter 9 Rational Numbers – Important Topics

NCERT Solutions for Class 7 Maths Chapter 9 Exercises

CBSE X Related Questions

1.
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

2.
An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.

5.
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

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NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

​Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Class 7 Maths Chapter 9 Rational Numbers – Important Topics

NCERT Solutions for Class 7 Maths Chapter 9 Exercises

CBSE X Related Questions

1. The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

2. An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.

4. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare themMonthly consumption (in units) Number of consumers65 - 85 485 - 1055105 - 12513125 - 14520145 - 16514165 - 1858185 - 2054

5. A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

Comments

SUBSCRIBE TO OUR NEWS LETTER

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

1.
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

2.
An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.

5.
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.