Question

1. bryan and jeanette were taking away one of jeanettes cards. he showed it to her. it was a - 8. jeanette had a score of - 10. bryan disagreed. he said that her score should be - 18 instead. read their conversation, and answer the question below.

o, jeanette, removing a negative card means the same thing as subtracting a positive. so, negative 10 minus negative 8 is negative 18.\
o, jeanette does not! removing a negative card is the same as adding the same positive card. my pre will go up. negative 10 minus negative 8 is negative 2.\ in their disagreement, who, if anyone, is right? explain.

Explanation:

Step1: Recall integer operation rules

Subtracting a negative number is the same as adding a positive number. Mathematically, \(a-(-b)=a + b\).

Step2: Analyze Jeanette's statement

Jeanette said removing a negative card means the same as subtracting a positive. If we have a score and we remove a negative - value card, say the score is \(S\) and the value of the negative - card is \(-x\). Removing it is \(S-(-x)=S + x\), which is like adding a positive number \(x\) to the score. Her statement is correct.

Step3: Analyze Bryan's statement

Bryan said negative 10 minus negative 8 is negative 18. Calculate \(- 10-(-8)\). Using the rule \(a-(-b)=a + b\), we have \(-10-(-8)=-10 + 8=-2\), not \(-18\). So Bryan is wrong.

Answer:

Jeanette is right. Removing a negative card is equivalent to adding a positive card because subtracting a negative number is the same as adding a positive number. For example, if we consider the operation of scores in the game, removing a negative - value card from a score is like adding a positive - value card to the score. Bryan is wrong. When calculating negative 10 minus negative 8 (\(-10-(-8)\)), using the rule \(a-(-b)=a + b\), we get \(-10 + 8=-2\), not \(-18\).