Which of the following is a correct interpretation of the expression 3+(−7)?Choose 1 answer:(A) Start at 7 on the number line and move 3 to the left.(B) Start at 7 on the number line and move 3 to the right.(C) Start at 3 on the number line and move 7 to the left.(D) Start at 3 on the number line and move 7 to the right.
Q. Which of the following is a correct interpretation of the expression 3+(−7)?Choose 1 answer:(A) Start at 7 on the number line and move 3 to the left.(B) Start at 7 on the number line and move 3 to the right.(C) Start at 3 on the number line and move 7 to the left.(D) Start at 3 on the number line and move 7 to the right.
Understand the expression: Understand the expression 3+(−7). This expression means starting with the value 3 and adding negative 7 to it. Adding a negative number is the same as subtracting its positive counterpart.
Visualize the number line: Visualize the number line. Positive numbers are to the right of 0, and negative numbers are to the left of 0. When you add a negative number, you move to the left on the number line.
Apply to the number line: Apply the expression to the number line. Starting at 3 and adding negative 7 means moving 7 units to the left from the position of 3 on the number line.
Check answer choices: Check the answer choices. Choice C says "Start at 3 on the number line and move 7 to the left." This matches our calculation from Step 3.
Confirm correct interpretation: Confirm that none of the other choices match the correct interpretation. Choice A and B involve starting at 7, which is incorrect. Choice D involves moving to the right, which is also incorrect.
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