Verify whether commutative property is satisfied for addition , multiplication and division for the
following pairs of rational numbers. −3
4
and −2
7
Answers
Answer:
Step-by-step explanation:
(i)Addition
4+
5
2
=
5
20+2
=
5
22
5
2
+4=
5
2+20
=
5
22
Commutative property is satisfied.
Subtraction
4−
5
2
=
5
20−2
=
5
18
5
2
−4=
5
2−20
=
5
−18
Commutative property is not satisfied.
Multiplication
5
2
×4=
5
8
4×
5
2
=
5
8
Commutative property is satisfied.
Division
4÷
5
2
=4×
2
5
=
2
20
5
2
÷4=
5
2
×
4
1
=
20
2
Commutative property is not satisfied.
(ii)Addition
7
−3
+(
7
−2
)=
7
−3−2
=
7
−5
7
−2
+(
7
−3
)=
7
−2−3
=
7
−5
Commutative property is satisfied.
Subtraction
7
−3
−(
7
−2
)=
7
−3+2
=
7
−1
7
−2
−(
7
−3
)=
7
−2+3
=
7
1
Commutative property is not satisfied.
Multiplication
7
−2
×
7
−3
=
7
6
7
−3
×
7
−2
=
7
6
Commutative property is satisfied.
Division
7
−3
÷
7
−2
=
7
−3
×
−2
7
=
2
3
7
−2
÷
7
−3
=
7
−2
×
−3
7
=
3
2
Commutative property is not satisfied.