Jillian is using integer tiles to add 7+(−2)

Question

. She uses the steps below.

Step 1:



Step 2:



Step 3:



Step 4: 7+(−2)=2




In which step did Jillian make a mistake? Explain in your own words how to correct Jillian's work and what the correct answer is.



NOTE: To receive full credit on this question, you must do three things:

1. State the step in which Jillian made a mistake.

2. Explain how to correct Jillian's work.

3. State the correct final answer.

(3 points)

Answer 1

1. Step in which Jillian made a mistake: Jillian made a mistake in the calculation leading to the final answer in Step 4.

2. Explain how to correct Jillian's work: To correctly add 7 and -2, we can visualize it by understanding that adding a negative number is the same as subtracting its positive equivalent. So instead of thinking of it as adding -2, we think of it as taking away 2 from 7. Thus:

• Start with 7.
• Subtract 2 from it: \[ 7 - 2 = 5. \] Therefore, instead of arriving at 2, the correct operation should lead us to 5.

3. State the correct final answer: The correct final answer to the expression \( 7 + (-2) \) is 5.