Respuesta :
All the options (A, B, C, D) are incorrect.
Given: To find the equivalent expression from the following options in the question that corresponds to (5.2) - 7
What are equivalent expressions?
Equivalent expressions are those expressions, which though look different but have the same working process and value. We can find equivalent expressions with the help of associative, commutative, and distributive properties in general.
For example: The equivalent expressions for (5 + 2).(4) = 5.4 + 2.4 or 4.(5 + 2) or (2 + 5).4 or 4.2 + 4.5.
All the expressions have the same working process and the same value which is 28.
Let's analyze the given set of options and find the correct answer:
A) 5.(2 + 7) is incorrect.
We can see that the given expression was (5.2) - 7 but in this option the sign of the operation changes. Also the value of (5.2) - 7 is (10 - 7) = 3 but the value of 5.(2 + 7) = 5 * 9 = 45.
So it is incorrect
B) (2 - 5) - 7 is incorrect.
We can see that the expression has no multiplication, so it is non equivalent by expression but the value of (2 - 5) - 7 is (-3 -7) = -10 whereas the value of (5.2) - 7 is (10 - 7) = 3.
So it is incorrect
C) (2-7) (5-7) is incorrect.
The expression has extra operators so the expression is not equivalent. Also the value of (2-7) (5-7) is (-5)(-2) = 10 whereas value of (5.2) - 7 is 10 - 7 = 3.
So it is incorrect.
D) 7+(2-5) is incorrect.
We can that the expression 7+(2-5) has a change in operator and has a '+'. So the expression is not equivalent. Also, the value of the expression 7+(2-5) is 7 + (-3) = 4 where the value of the expression (5.2)-7 is 3.
So it is incorrect.
Hence all the options are incorrect.
Know more about "equivalent expressions" here: https://brainly.com/question/28170201
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