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:

$789\times 175-75\times 789$

To find:

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

Solution:

We have,

$789\times 175-75\times 789$

Using the commutative property of multiplication, we get

$789\times 175-75\times 789=789\times 175-789\times 75$

Using the distributive property of addition over multiplication, we get

$789\times 175-75\times 789=789\times (175-75)$

$789\times 175-75\times 789=789\times 100$

$789\times 175-75\times 789=78900$

Therefore, the value of the given expression is 78900.