properties of rational number with example (or) properties of integers
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Here is your answer,
Properties of rational numbers:
➡Closure property: For two rational numbers say x and y the results of addition, subtraction and multiplication operations gives a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example:
✔7/6 + 2/5 = 47/30
✔2/5 x 3/7 = 6/35
✔5/6 - 1/3 =1/2
➡Commutative law: For rational numbers, addition and multiplication are commutative.
Commutative law of addition: a+b = b+a
Commutative law of multiplication: a×b = b×a
➡Associative law: Rational numbers follow the associative property for addition and multiplication.
Suppose x, y and z are rational then for addition: x+(y+z)=(x+y)+z
For multiplication: x(yz)=(xy)z.
Some important properties that should be remembered are:
0 is an additive identity and 1 is a multiplicative identity for rational numbers.
Properties of integers:
➡Commutative Property of Addition
Adding integers will have the same result regardless of the arrangement of the integers.
3+1 = 1+3x4
➡Commutative Property of Multiplication
Multiplying integers will have the same result regardless of the arrangement of the integers
4x3 = 3x4
➡Associative Property of Addition
Adding integers will have the same result regardless of the grouping.
(2+3)+5 = 2+(3+5)
Hope it helps you!
Here is your answer,
Properties of rational numbers:
➡Closure property: For two rational numbers say x and y the results of addition, subtraction and multiplication operations gives a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example:
✔7/6 + 2/5 = 47/30
✔2/5 x 3/7 = 6/35
✔5/6 - 1/3 =1/2
➡Commutative law: For rational numbers, addition and multiplication are commutative.
Commutative law of addition: a+b = b+a
Commutative law of multiplication: a×b = b×a
➡Associative law: Rational numbers follow the associative property for addition and multiplication.
Suppose x, y and z are rational then for addition: x+(y+z)=(x+y)+z
For multiplication: x(yz)=(xy)z.
Some important properties that should be remembered are:
0 is an additive identity and 1 is a multiplicative identity for rational numbers.
Properties of integers:
➡Commutative Property of Addition
Adding integers will have the same result regardless of the arrangement of the integers.
3+1 = 1+3x4
➡Commutative Property of Multiplication
Multiplying integers will have the same result regardless of the arrangement of the integers
4x3 = 3x4
➡Associative Property of Addition
Adding integers will have the same result regardless of the grouping.
(2+3)+5 = 2+(3+5)
Hope it helps you!
kilimi:
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