A student solved z + (-0.72) = -2.5 for z using the following steps.


Step 1: z + (−0.72) + (−0.72) = −2.5 + (−0.72)

Step 2: z = −2.5 + (−0.72)

Step 3: z = −3.22


What was the student’s error?

Respuesta :

The student's error was in first step where he added -0.72 instead of 0.72

Step-by-step explanation:

Given equation;

z + (-0.72) = -2.5

When solving for z, eliminate the other numbers from one side.

Step 1: z + (−0.72) + (−0.72) = −2.5 + (−0.72)

In this step, the student should have added 0.72 because -0.72 was already present in the equation and to eliminate it, he should have add same number with opposite sign.

According to this Step, -0.72 and -0.72 would have been added, because according to mathematics, two numbers with minus sign are added and the sign remains same.

The student's error was in first step where he added -0.72 instead of 0.72

Keywords: addition, subtraction

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Answer:

Sample Response: To solve, you must use the inverse operation. In step 1, -0.72 should have been subtracted from both sides, not added. Otherwise, 0.72 should have been added to both sides, not -0.72.

Step-by-step explanation: