Tell all the properties of Integers. Explain each properties.
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Answers
Answer:
Properties of Integers
Integer Property Addition Division
Commutative Property x + y = y+ x x ÷ y ≠ y ÷ x
Associative Property x + (y + z) = (x + y) +z (x ÷ y) ÷ z ≠ x ÷ (y ÷ z)
Identity Property x + 0 = x =0 + x x ÷ 1 = x ≠ 1 ÷ x
Closure Property x + y ∈ Z x ÷ y ∉ Z
Step-by-step explanation:
Answer:
Integers have 5 main properties they are:
Closure Property.
Associative Property.
Commutative Property.
Distributive Property.
Identity Property.
Step-by-step explanation:
1. Closure property holds for addition and multiplication of whole numbers. Closure property of whole numbers under addition: The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, a + b will be a whole number. Example: 12 + 0 = 12. 9 + 7 = 16.
2.In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
3.The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
4.the distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always. For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.
5.The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number.