Maharashtra Board Solutions Class 7-Maths (Practice Set 27): Chapter 6- Indices
Maharashtra Board Solutions Class 7-Maths (Practice Set 27): Chapter 6- Indices

Class 7: Maths Chapter 5 solutions. Complete Class 7 Maths Chapter 5 Notes.

Maharashtra Board Solutions Class 7-Maths (Practice Set 22): Chapter 5- Operations on Rational Numbers

Maharashtra Board 7th Maths Chapter 5, Class 7 Maths Chapter 5 solutions

Question 1.
Carry out the following additions of rational numbers:

i. 536+642
ii. 123+245
iii. 1117+1319
iv. 2311+1377
Solution:
i. 536+642
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 1

ii. 123+245
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 2

iii. 1117+1319
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 3

iv. 2311+1377
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 4

Question 2.
Carry out the following subtractions involving rational numbers.

i. 711−37
ii. 1336−240
iii. 123−356
iv. 412−313
Solution:
i. 711−37
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 5

ii. 1336−240
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 6

iii. 123−356
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 7

iv. 412−313
Maharashtra Board Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers Practice Set 22 8

Question 3.
Multiply the following rational numbers.

i. 311×25
ii. 125×415
iii. (−8)9×34
iv. 06×34
Solution:
i. 311×25
=3×211×5=655

ii. 125×415
=45×45=4×45×5=1625

iii. (−8)9×34
=(−2)3×11=−23

iv. 06×34
=0×34=0

Question 4.
Write the multiplicative inverse of.

i. 25
ii. −38
iii. −1739
iv. 7
v. −713
Solution:
i. 52
ii. −83
iii. −3917
iv. 17
v. −322

Question 5.
Carry out the divisions of rational numbers:

i. 4012÷104
ii. −1011÷−1110
iii. −78÷−36
iv. 23÷(−4)
v. 215÷536
vi. −513÷726
vii. 911÷(−8)
viii. 5÷25
Solution:
i. 4012÷104
=4012×410=43

ii. −1011÷−1110
=−1011×−1011=100121

iii. −78÷−36
=−78×−63=−74×−33=74

iv. 23÷(−4)
=23×−14=13×−12=−16

v. 215÷536
=115÷336=115×633=15×63=25

vi. −513÷726
=−513×267=−107

vii. 911÷(−8)
=911×−18=−988

viii. 5÷25
=51×52=252

Intext Questions and Activities

Question 1.
Complete the table given below. (Textbook pg. no. 34)

-335-17−5115
Natural Numbersx
Integers
Rational Numbers

Solution:

-335-17−5115
Natural Numbersxxxx
Integersxx
Rational Numbers

Question 2.
Discuss the characteristics of various groups of numbers in class and complete the table below. In front of each group, write the inference you make after carrying out the operations of addition, subtraction, multiplication and division, using a (✓) or a (x).
Remember that you cannot divide by zero. (Textbook pg. no. 35)

Group of NumbersAdditionSubtractionMultiplicationDivision
Natural Numbersx
(7- 10 =-3)
x
(3÷5=35)
Integers
Rational Numbers

Solution:

Group of NumbersAdditionSubtractionMultiplicationDivision
Natural Numbersx
(7- 10 =-3)
x
(3÷5=35)
Integersx
(4÷9=49)
Rational Numbers

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Maharashtra Board Solutions Class 7-Maths (Practice Set 22): Chapter 5- Operations on Rational Numbers

Download PDF: Maharashtra Board Solutions Class 7-Maths (Practice Set 22): Chapter 5- Operations on Rational Numbers PDF

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FAQs

Where do I get the Maharashtra State Board Books PDF For free download?

You can download the Maharashtra State Board Books from the eBalbharti official website, i.e. cart.ebalbharati.in or from this article.

How to Download Maharashtra State Board Books?

Students can get the Maharashtra Books for primary, secondary, and senior secondary classes from here.  You can view or download the Maharashtra State Board Books from this page or from the official website for free of cost. Students can follow the detailed steps below to visit the official website and download the e-books for all subjects or a specific subject in different mediums.
Step 1: Visit the official website ebalbharati.in
Step 2: On the top of the screen, select “Download PDF textbooks” 
Step 3: From the “Classes” section, select your class.
Step 4: From “Medium”, select the medium suitable to you.
Step 5: All Maharashtra board books for your class will now be displayed on the right side. 
Step 6: Click on the “Download” option to download the PDF book.

Who developed the Maharashtra State board books?

As of now, the MSCERT and Balbharti are responsible for the syllabus and textbooks of Classes 1 to 8, while Classes 9 and 10 are under the Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE).

How many state boards are there in Maharashtra?

The Maharashtra State Board of Secondary & Higher Secondary Education, conducts the HSC and SSC Examinations in the state of Maharashtra through its nine Divisional Boards located at Pune, Mumbai, Aurangabad, Nasik, Kolhapur, Amravati, Latur, Nagpur and Ratnagiri.

About Maharashtra State Board (MSBSHSE)

The Maharashtra State Board of Secondary and Higher Secondary Education or MSBSHSE (Marathi: महाराष्ट्र राज्य माध्यमिक आणि उच्च माध्यमिक शिक्षण मंडळ), is an autonomous and statutory body established in 1965. The board was amended in the year 1977 under the provisions of the Maharashtra Act No. 41 of 1965.

The Maharashtra State Board of Secondary & Higher Secondary Education (MSBSHSE), Pune is an independent body of the Maharashtra Government. There are more than 1.4 million students that appear in the examination every year. The Maha State Board conducts the board examination twice a year. This board conducts the examination for SSC and HSC. 

The Maharashtra government established the Maharashtra State Bureau of Textbook Production and Curriculum Research, also commonly referred to as Ebalbharati, in 1967 to take up the responsibility of providing quality textbooks to students from all classes studying under the Maharashtra State Board. MSBHSE prepares and updates the curriculum to provide holistic development for students. It is designed to tackle the difficulty in understanding the concepts with simple language with simple illustrations. Every year around 10 lakh students are enrolled in schools that are affiliated with the Maharashtra State Board.