Question

Pls tell the definations of these properties with examples

Closure Property
Associative Property
Communitative Property
Distributive Property
Zero Property

Answer 1

Answer:

1) Closure property: for any number 'a' added, subtracted, multiplied or divided with another number 'b' in the same set of numbers the result shall also be one of the numbers corresponding to that set.

Eg :- In natural numbers: 2(natural number)+3(naturalnumber)=5 gives us a natural number, therefore, is closed under addition.

2) Associative property: for any number a,b,c added,subtracted, multiplied or divided in one particular order will have the same result even when the order is changed

Eg:- In whole numbers : 2+(0+5)= 7

5+(2+0) = 7

0+(2+5) is also 7

3) Communicative property: for any number a added, subtracted, multiplied, or divided to a number b in any order will have the same result even when the order is changed

Eg : 6×2 = 12

2×6 is also 12

Answer 2

Step-by-step explanation: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.

Associative Property Formula for Multiplication: The product of three or more numbers remains the same irrespective of the way numbers are grouped. For example, (1 × 7) × 3 = 1 × (7 × 3) = 21.

The commutative property states that the change in the order of numbers in an addition or multiplication operation does not change the sum or the product. The commutative property of addition is written as A + B = B + A

The distributive property of multiplication over addition is applied when we are required to multiply a respective number by a sum of two numbers. For example, let us multiply 7 by the sum of 20 + 3. Mathematically we can represent this as 7(20 + 3).

What THe Heck is a 0 property