explain closure and commutative properties for whole numbers under addition s subtraction. take at least 2 examples for each property
Answers
closure property of addition:- The sum to two integers is always an integer.
example :- a+b = c
5+4=9
closure property of subtraction:-If a and b are any two integers then a-b is always an integer.
example:- 2-5=2+(-5) = -3
communative law of addition:- If a and b are any two integers , then a +b=b+a
example:- 5+8=8+5 both have same answer
communative law of subtraction:- subtraction of integers is not communative.
example 4-2 2-4
4-2=2
2-4= -2
Answer:
1)closure property:
If we add or sub two whole numbers,
we get a whole number as a result.
For example,
10 + 5 = 15 (whole number)
8 +5 = 13(whole number)
formula: x + y = z
formula:x - y = z
2)Commutative Property:
if we add both whole numbers
the answer will be also in both LHS and RHS
formula: a + b = b + a
for example
2 + 4 = 4 + 2
6 = 6
RHS= LHS
That means, we can add whole numbers in any order.
This is known as the commutative property of multiplication.
2) subraction is not closed under comutative property
Step-by-step explanation:
hope my answer help you