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

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

ii. 123+245

iii. 1117+1319

iv. 2311+1377

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

ii. 1336−240

iii. 123−356

iv. 412−313

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)

	-3	35	-17	−511	5
Natural Numbers	x				✓
Integers	✓
Rational Numbers	✓

Solution:

	-3	35	-17	−511	5
Natural Numbers	x	x	x	x	✓
Integers	✓	x	✓	x	✓
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 Numbers	Addition	Subtraction	Multiplication	Division
Natural Numbers	✓	x (7- 10 =-3)	✓	x (3÷5=35)
Integers
Rational Numbers

Solution:

Group of Numbers	Addition	Subtraction	Multiplication	Division
Natural Numbers	✓	x (7- 10 =-3)	✓	x (3÷5=35)
Integers	✓	✓	✓	x (4÷9=49)
Rational Numbers	✓	✓	✓	✓

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

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Chapterwise Maharashtra Board Solutions Class 7 Maths :

• Chapter 1- Geometrical Constructions (Practice Set 1)
• Chapter 1- Geometrical Constructions (Practice Set 2)
• Chapter 1- Geometrical Constructions (Practice Set 3)
• Chapter 1- Geometrical Constructions (Practice Set 4)
• Chapter 1- Geometrical Constructions (Practice Set 5)
• Chapter 1- Geometrical Constructions (Practice Set 6)
• Chapter 1- Geometrical Constructions (Practice Set 7)
• Chapter 2- Multiplication and Division of Integers (Practice Set 8)
• Chapter 2- Multiplication and Division of Integers (Practice Set 9)
• Chapter 3- HCF and LCM (Practice Set 10)
• Chapter 3- HCF and LCM (Practice Set 11)
• Chapter 3- HCF and LCM (Practice Set 12)
• Chapter 3- HCF and LCM (Practice Set 13)
• Chapter 3- HCF and LCM (Practice Set 14)
• Chapter 4- Angles and Pairs of Angles (Practice Set 15)
• Chapter 4- Angles and Pairs of Angles (Practice Set 16)
• Chapter 4- Angles and Pairs of Angles (Practice Set 17)
• Chapter 4- Angles and Pairs of Angles (Practice Set 18)
• Chapter 4- Angles and Pairs of Angles (Practice Set 19)
• Chapter 4- Angles and Pairs of Angles (Practice Set 20)
• Chapter 4- Angles and Pairs of Angles (Practice Set 21)
• Chapter 5- Operations on Rational Numbers (Practice Set 22)
• Chapter 5- Operations on Rational Numbers (Practice Set 23)
• Chapter 5- Operations on Rational Numbers (Practice Set 24)
• Chapter 5- Operations on Rational Numbers (Practice Set 25)
• Chapter 6- Indices (Practice Set 26)
• Chapter 6- Indices (Practice Set 27)
• Chapter 6- Indices (Practice Set 28)
• Chapter 6- Indices (Practice Set 29)
• Chapter 6- Indices (Practice Set 30)
• Chapter 7- Joint Bar Graph (Practice Set 31)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 32)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 33)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 34)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 35)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 36)
• Chapter 9- Direct Proportion and Inverse Proportion (Practice Set 37)
• Chapter 9- Direct Proportion and Inverse Proportion (Practice Set 38)
• Chapter 9- Direct Proportion and Inverse Proportion (Practice Set 39)
• Chapter 10- Bank and Simple Interest (Practice Set 40)
• Chapter 10- Bank and Simple Interest (Practice Set 41)
• Chapter 11- Circle (Practice Set 42)
• Chapter 11- Circle (Practice Set 43)
• Chapter 12- Perimeter and Area (Practice Set 44)
• Chapter 12- Perimeter and Area (Practice Set 45)
• Chapter 12- Perimeter and Area (Practice Set 46)
• Chapter 12- Perimeter and Area (Practice Set 47)
• Chapter 13- Pythagoras Theorem (Practice Set 48)
• Chapter 13- Pythagoras Theorem (Practice Set 49)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 50)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 51)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 52)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 53)
• Chapter 15- Statistics (Practice Set 54)
• Chapter 14- Statistics (Practice Set 55)