Write the properties of Rational Numbers.
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Answers
Answer:
1. Closure property
2. commutative property
3. Associate property
4. Distributive property
Answer:
The word rational has evolved from the word ratio. In general, rational numbers are those numbers that can be expressed in the form of p/q, in which both p and q are integers and q≠0. The properties of rational numbers are:
- Closure Property
- Commutative Property
- Associative Property
- Distributive Property
- Identity Property
- Inverse Property
Closure property
For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication.
Commutative Property
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 Property
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.
Distributive Property
The distributive property states, if a, b and c are three rational numbers, then;
a x (b+c) = (a x b) + (a x c)
Identity Property
0 is an additive identity and 1 is a multiplicative identity for rational numbers.
Inverse Property
For a rational number x/y, the additive inverse is -x/y and y/x is the multiplicative inverse.
Step-by-step explanation:
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