Math Problem Statement
Solution
Let's break down the given expression:
Step-by-step Solution:
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can be interpreted as adding the opposite of 6 to 6.
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The opposite of 6 is , so the expression becomes:
Now, let's analyze the answer choices:
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A. The expression describes the number that is 6 to the left of 6 on the number line.
False: Adding to 6 moves us left from 6, but it does not describe a number 6 units to the left of 6. It just equals 0. -
B. The expression describes the number that is 6 to the right of 6 on the number line.
False: The expression results in moving to the left, not to the right, of 6. -
C. The expression equals 0.
True: As we calculated, . -
D. The expression equals 12.
False: The expression does not equal 12, but instead equals 0.
Conclusion:
The correct answers are:
- C. The expression equals 0.
- A. The expression describes the number that is 6 to the left of 6 on the number line.
Do you want further details or have any questions?
Here are some related questions you could consider:
- What is the rule for adding a negative number to a positive number?
- How would the expression change if the numbers were different?
- What is the graphical interpretation of adding numbers on the number line?
- How does subtracting a number relate to moving left on the number line?
- What happens if both numbers were negative instead?
Tip: Always visualize expressions on a number line when dealing with negative numbers for clarity.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Number Lines
Adding Negative Numbers
Formulas
Addition of Integers: a + (-b) = a - b
Theorems
Basic properties of integers
Suitable Grade Level
Grade 6-8