Associative property of whole numbers
Sam, Jim and Kim were playing with balls.
Sam had 4 balls, Jim had 5 balls, and Kim had 6 balls.
After playing with the balls, Sam and Jim kept their balls in a basket.
So, the total number of balls in the basket is
$9$
.
After Sam and Jim, Kim also puts his balls in the basket.
Now, the total number of balls in the basket is
$15$
.
The next day, they took the balls and placed them back after their game.
But this time, Sam put her balls in the basket first.
Later, Jim and Kim put their balls in the basket together.
On adding, we get the total number of balls in the basket as
$15$
.
The sum does not change even if the position of brackets in the addition changes.
This property is known as the associative property of whole numbers.
Let us learn more about the associative property of whole numbers.
When we add three or more whole numbers, the sum remains the same, even if we change the order of numbers in the addition.
In other words, the numbers can be added in any manner, to get the sum.
So, we can say that whole numbers are associative under addition.
Let us now check Associative property for Subtraction of whole numbers.
Consider the whole numbers
$8,2$
and
$5$
to subtract. Solution is different this time.
So, we can say that whole numbers are not associative under subtraction.
Let us now check Associative property for Multiplication of whole numbers.
Consider the numbers
$7,9$
and
$5$
to multiply. The product is equal in both cases.
So, we can say that whole numbers are associative under multiplication.
Let us now check Associative property for Division of whole numbers.
Consider the numbers
$100,25$
and
$5$
to divide, The result here is different.
This implies that whole numbers are not associative under division.
Let's revise
The sum of whole numbers remains the same, even if the order of numbers change.
So, we can say that whole numbers are associative under addition.
The end