Find the using more than one property of whole numbers

Whole Numbers – Using more than one property of whole numbers

• Addition of Whole Numbers using more than One Property
• What’s Next?

In the previous segment, we learnt about the Associative property of whole numbers.

In this segment, we will learn how to use more than one property to solve problems.

Using associative and commutative property for addition of whole numbers

We know that mathematical operations are easy to do when there are numbers ending with zero involved.

For example:

220 + 55 = 275

60 × 2 = 120

Sometimes, mathematical expressions may have to be modified so that this can be applied. And in order to do that, more than one property of whole numbers may have to be used.

Let us look at the two examples to see how this works for the addition of whole numbers.

Example 1: 54 +58 + 6

Applying the associative property of whole numbers under addition, this can be solved as follows:

(54 + 58) + 6 = 112 + 6 = 118

But there is a simpler way of solving this.

In the given problem, adding 54 and 6 will give 60. And this will make the rest of the calculation easier.

In order to do that, we will use the commutative property of whole numbers. According to this property, 58 + 6 can be written as 6 + 58.

Thus,

54 + (58 + 6) can be written as 54 + (6 + 58).

Because whole numbers are associative under addition, the expression can be written as:

(54 + 6) + 58

Here is a quick look at the properties we applied:

54 + 58 + 6 = 54 + (58 + 6) … Associative property

= 54 + (6 + 58) … Commutative property

= (54 + 6) + 58 … Associative property

= 60 + 58

= 118

Example 2: 1962 + 453 + 1538 + 647

In this problem, there are four numbers.

It is easier to add the first and third numbers and second and fourth numbers. So the positions of second and third numbers need to be swapped.

Let us see how this can be done.

1962 + 453 + 1538 + 647 = 1962 + (453 + 1538) + 647 … Associative property

= 1962 + (1538 + 453) + 647 … Commutative property

= (1962 + 1538) + (453 + 647) … Associative property

= 3500 + 1100

= 4600

What’s next?

In the segment of Class 6 Maths, we will see how we can use more than one property of whole numbers for multiplication.

Also Check

NCERT Solutions For Class 6 - All Subjects (2022-23)

CBSE Worksheets For Class 6 Maths (Chapter wise)