Answer:
Option 1 - [tex]56(80) + 56(2)[/tex]
Step-by-step explanation:
To find : Which expression shows how to use place value and the distributive property to find 56(82)?
Solution :
Distributive property is defined as
[tex]a(b+c)=ab+ac[/tex]
To determine the expression we solve each of the following,
1) [tex]56(80) + 56(2)[/tex]
Applying property,
[tex]56(80) + 56(2)=56(80+2)[/tex]
[tex]56(80) + 56(2)=56(82)[/tex]
It is true.
2) [tex]56(8)+56(2)[/tex]
Applying property,
[tex]56(8) + 56(2)=56(8+2)[/tex]
[tex]56(8) + 56(2)=56(10)[/tex]
It is not true.
3) [tex]50(6) + 80(2)[/tex]
Property cannot be applied.
4) [tex]50(80) + 6(2)[/tex]
Property cannot be applied.
Therefore, option 1 is correct.
