Define all properties of integers with examples
Answers
Answer: Associative Property, Identity Property, Closure Property, Distributive Property, Commutative Property.
Step-by-step explanation:
Among the various properties of integers, closure property under addition and subtraction states that the sum or difference of any two integers will always be an integer i.e. if x and y are any two integers, x + y and x − y will also be an integer.
The commutative property of addition and multiplication states that the order of terms doesn’t matter, the result will be the same. Whether it is addition or multiplication, swapping of terms will not change the sum or product.
The associative property of addition and multiplication states that the way of grouping of numbers doesn’t matter; the result will be the same. One can group numbers in any way but the answer will remain the same. Parenthesis can be done, irrespective of the order of terms.
The distributive property explains the distributing ability of operation over another mathematical operation within a bracket. It can be either distributive property of multiplication over addition or distributive property of multiplication over subtraction. Here, integers are added or subtracted first and then multiplied or multiply first with each number within the bracket and then added or subtracted.
Among the various properties of integers, additive identity property states that when any integer is added to zero it will give the same number. Zero is called additive identity.
The multiplicative identity property for integers says that whenever a number is multiplied by 1 it will give the integer itself as the product. Therefore, 1 is called the multiplicative identity for a number.
In commutative property, the integers can be rearranged in any way and the result will still be the same. In case of associative property, integers can be grouped in any way using parenthesis and the result will still be the same.
మొబైల్ ఇస్ known as properties