$3-(-3)+7-4=$
A) 2
B) 12
C) 9
D) 14
Answer (2)
The problem requires evaluating the arithmetic expression 3 − ( − 3 ) + 7 − 4 . The steps are as follows:
Simplify the expression: 3 − ( − 3 ) + 7 − 4 = 3 + 3 + 7 − 4 .
Perform addition: 3 + 3 + 7 − 4 = 6 + 7 − 4 = 13 − 4 .
Perform subtraction: 13 − 4 = 9 .
The final answer 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 and Answer Finally, we perform the subtraction: 13 − 4 = 9 . Therefore, the correct answer is C) 9.
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 evaluate such expressions ensures accurate budgeting and financial planning.
To evaluate the expression 3 − ( − 3 ) + 7 − 4 , we first simplify it to 3 + 3 + 7 − 4 . The calculated result is 9 , so the correct answer is C) 9.
;
