Operations on Rational Numbers Class 7 Maths Chapter 5 Practice Set 22 Solutions Maharashtra Board

Operations on Rational Numbers Class 7 Maths Chapter 5 Practice Set 22 Solutions Maharashtra Board

Maharashtra state board textbooks

Std 7 Maths Practice Set 22 Solutions Answers

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

Maharashtra Board Class 7 Maths Chapter 5 Operations on Rational Numbers Practice Set 22 Intext Questions and Activities

Maharashtra state board textbooks

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	✓	✓	✓	✓