Question

Find the value of the following expression using suitable properties of whole numbers

and name the property used.
789 × 175 – 75 × 789

Answer 1

Given:

The expression is:

`789* 175-75* 789`

To find:

The value of the given expression by using the suitable properties of whole numbers.

Solution:

We have,

`789* 175-75* 789`

Using the commutative property of multiplication, we get

`789* 175-75* 789=789* 175-789* 75`

Using the distributive property of addition over multiplication, we get

`789* 175-75* 789=789* (175-75)`

`789* 175-75* 789=789* 100`

`789* 175-75* 789=78900`

Therefore, the value of the given expression is 78900.