Verify whether commutative property is satisfied for addition, subtraction, multiplication and division of the following pairs of rational numbers.
(i) 4 and 25
(ii) −37 and −27
(i)Addition
4+25=20+25=225
25+4=2+205=225
Commutative property is satisfied.
Subtraction
4−25=20−25=185
25−4=2−205=−185
Commutative property is not satisfied.
Multiplication
25×4=85
4×25=85
Commutative property is satisfied.
Division
4÷25=4×52=202
25÷4=25×14=220
Commutative property is not satisfied.
(ii)Addition
−37+(−27)=−3−27=−57
−27+(−37)=−2−37=−57
Commutative property is satisfied.
Subtraction
−37−(−27)=−3+27=−17
−27−(−37)=−2+37=17
Commutative property is not satisfied.
Multiplication
−27×−37=67
−37×−27=67
Commutative property is satisfied.
Division
−37÷−27=−37×7−2=32
−27÷−37=−27×7−3=23
Commutative property is not satisfied.