$3-(-3)+7-4=$
A) 2
B) 12
C) 9
D) 14
Answer (2)
We need to evaluate the expression 3 − ( − 3 ) + 7 − 4 . The steps are as follows:
Simplify the subtraction of the negative number: 3 − ( − 3 ) = 3 + 3 .
Perform the additions and subtractions from left to right: 3 + 3 + 7 − 4 = 6 + 7 − 4 = 13 − 4 = 9 .
The final result is 9 .
Explanation
Understanding the problem We are asked to evaluate the expression 3 − ( − 3 ) + 7 − 4 and choose the correct answer from the given options.
Simplifying the expression First, we simplify the subtraction of the negative number: − ( − 3 ) = + 3 . So the expression becomes 3 + 3 + 7 − 4 .
Performing addition Next, we perform the addition from left to right: 3 + 3 = 6 . The expression becomes 6 + 7 − 4 .
More addition Continuing the addition, we have 6 + 7 = 13 . The expression becomes 13 − 4 .
Final subtraction Finally, we perform the subtraction: 13 − 4 = 9 .
Choosing the correct option Therefore, the correct answer is 9, which corresponds to option C.
Examples
Understanding how to evaluate simple arithmetic expressions like this is fundamental to managing personal finances. For example, if you start with $3 in your pocket, find $3 on the street, earn $7 from a chore, and then spend $4 on a snack, this expression tells you how much money you have left. Knowing how to correctly perform these operations ensures accurate budgeting and financial planning.
The expression 3 − ( − 3 ) + 7 − 4 simplifies to 9 . Therefore, the correct answer is option C. We reached this conclusion by handling the subtraction of a negative number as addition and performing straightforward calculations step-by-step.
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