Given:
The expression is:
[tex]789\times 175-75\times 789[/tex]
To find:
The value of the given expression by using the suitable properties of whole numbers.
Solution:
We have,
[tex]789\times 175-75\times 789[/tex]
Using the commutative property of multiplication, we get
[tex]789\times 175-75\times 789=789\times 175-789\times 75[/tex]
Using the distributive property of addition over multiplication, we get
[tex]789\times 175-75\times 789=789\times (175-75)[/tex]
[tex]789\times 175-75\times 789=789\times 100[/tex]
[tex]789\times 175-75\times 789=78900[/tex]
Therefore, the value of the given expression is 78900.
