Question

James says that he used grouping symbols to write the three expressions shown, each with the same value as

23+3x9-42, Is James correct? Explain.
(23+3)x9-42, 23+3x (9-4)2, and 23+(3×9-4²)
James is
simplifies to
The given expression, 23 +3x9-42, simplifies to Of James' expressions, (2ª+3)x9-42
+3x (9-4)2 simplifies to, and 23+ (3x9-42) simplifies to

Answer 1

James used grouping symbols to rewrite the expression and proposed three alternatives. However, none of James' expressions have the same value as the original expression.

Step-by-step explanation:

James used grouping symbols to write the three expressions shown:

1. (23+3)x9-42
2. 23+3x(9-4)2
3. 23+(3×9-4²)

To determine if James is correct, let's simplify each expression:

1. (23+3)x9-42 = 26x9-42 = 234-42 = 192
2. 23+3x(9-4)2 = 23+3x5x2 = 23+30 = 53
3. 23+(3×9-4²) = 23+(3x9-16) = 23+(27-16) = 23+11 = 34

Since the value of the original expression, 23+3x9-42, is 192, and none of James' expressions have the same value, James is incorrect.