Commutative Property
Commutative Property
Commutative Property:
1. Addition of Rational Numbers : For any two rational numbers a and b, a + b = b+ a
Example: Verify commutative property for addition on
Solution:
LHS =
RHS =
LHS = RHS
We see that the two rational numbers can be added in any order. So addition is commutative for rational numbers.
2. Subtraction of Rational Numbers: For any two rational numbers a and b, a – b ≠ b – a.
Example: Verify commutative property for subtraction on
Solution:
LHS =
RHS =
LHS RHS
So subtraction is not commutative for rational numbers.
3. Multiplication of rational numbers : For any two rational numbers a and b, a × b = b × a
Example: Verify commutative property for multiplication on
Solution:
LHS =
RHS =
LHS = RHS
We see that the two ratrional numbers can be multiplied in any order. So multiplication is commutative for ratioanl numbers.
4. Division of Rational Numbers : For any two rational numbers a and b, a ÷ b ≠ b ÷ a.
Example: Verify commutative property for multiplication on
Solution:
LHS =
RHS =
We see that the expressions on both the sides are not equal. So divsion is not commutative for rational numbers.
Which of the following is an example of the Commutative Property of Addition? | |||
| Right Option : C | |||
| View Explanation | |||
Name the property of rational numbers illustrated by : (2/9 + 4/9) = (4/9 + 2/9) | |||
| Right Option : C | |||
| View Explanation | |||
Are (5/9 - 2/9) and (2/9 - 5/9) equal ? What do you come to know from the result ? | |||
| Right Option : C | |||
| View Explanation | |||
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