Respuesta :
Answer: The sum of 75.2+(57.376+24.8) is 157.376.
Explanation:
The commutative property of addition states that,
[tex]a+b=b+a[/tex]
The associative property of addition states that,
[tex]a+(b+c)=(a+b)+a[/tex]
The given expression is 75.2+(57.376+24.8).
First use commutative property of addition in the parenthesis.
[tex]75.2+(57.376+24.8)=75.2+(24.8+57.376)[/tex]
Now use associative property of addition.
[tex]75.2+(24.8+57.376)=(75.2+24.8)+57.376[/tex]
Now simplify the expression,
[tex](75.2+24.8)+57.376=100+57.376[/tex]
[tex](75.2+24.8)+57.376=157.376[/tex]
Therefore, the sum of 75.2+(57.376+24.8) is 157.376.