Question

interpret negative number addition and subtraction expressions
which of the following is a correct interpretation of the expression
3 - (-5)?
choose 1 answer:
a the number that is 5 to the left of 3 on the number line
b the number that is 5 to the right of 3 on the number line
c the number that is 3 to the left of -5 on the number line
d the number that is 3 to the right of -5 on the number line

Explanation:

Step1: Recall the rule of subtracting a negative number

Subtracting a negative number is equivalent to adding its positive counterpart. So, \(3 - (-5)=3 + 5\).

Step2: Analyze the number - line interpretation of addition

On a number line, adding a positive number means moving to the right. So, \(3+5\) means starting at 3 and moving 5 units to the right.

Step3: Evaluate each option

• Option A: Moving 5 to the left of 3 would be \(3 - 5\), not \(3-(-5)\). Eliminate A.
• Option B: Moving 5 to the right of 3 is \(3 + 5\), which is equal to \(3-(-5)\). This matches.
• Option C: Moving 3 to the left of - 5 would be \(-5-3\), not \(3-(-5)\). Eliminate C.
• Option D: Moving 3 to the right of - 5 would be \(-5 + 3\), not \(3-(-5)\). Eliminate D.

Answer:

B. The number that is 5 to the right of 3 on the number line