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Can the parentheses in any of the expressions be removed without changing the value of the expression?

a) Yes, in expression a.
b) Yes, in expression b.
c) Yes, in expression c.
d) No

User Misolo
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1 Answer

4 votes

Final answer:

In the given expressions, parentheses can be removed without changing the value in expression b and d, but not in expression a and c. The correct answer is b) Yes, in expression b.

Step-by-step explanation:

In the given expressions, parentheses can only be removed without changing the value of the expression if they are not necessary to indicate order of operations or to define a separate grouping. Let's analyze each expression:

a) (5 + 3) × 2 = 16. The parentheses are necessary here to indicate that addition should be performed before multiplication. Removing the parentheses would change the value of the expression.

b) 5 + (3 × 2) = 11. The parentheses in this expression can be removed without changing the value, as addition and multiplication have the same priority and the expression can be evaluated from left to right.

c) (5 + 3 × 2) = 11. In this expression, the parentheses are necessary to indicate that multiplication should be performed first.

d) 5 × (3 + 2) = 25. The parentheses in this expression can also be removed without changing the value, as addition and multiplication have the same priority and the expression can be evaluated from left to right.

User Chaudharyp
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