$3-(-3)+7-4=$
A) 12
B) 9
C) 2
D) 14
Answer (2)
Simplify the expression by dealing with the negative sign: 3 − ( − 3 ) = 3 + 3 .
Perform the first addition: 3 + 3 = 6 .
Continue with the next addition: 6 + 7 = 13 .
Perform the subtraction: 13 − 4 = 9 . The final answer is 9 .
Explanation
Understanding the expression We are asked to evaluate the expression 3 − ( − 3 ) + 7 − 4 . This involves basic arithmetic operations of addition and subtraction.
Simplifying the expression First, we simplify the expression by dealing with the negative sign: 3 − ( − 3 ) = 3 + 3 . So the expression becomes 3 + 3 + 7 − 4 .
Performing addition Next, we perform the addition and subtraction from left to right: 3 + 3 = 6 . The expression is now 6 + 7 − 4 .
Continuing addition Then, we add 7 to 6: 6 + 7 = 13 . The expression is now 13 − 4 .
Performing subtraction Finally, we subtract 4 from 13: 13 − 4 = 9 . Therefore, the value of the expression is 9.
Final result Thus, 3 − ( − 3 ) + 7 − 4 = 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 perform these calculations accurately helps in budgeting and making informed financial decisions.
The expression 3 − ( − 3 ) + 7 − 4 simplifies to 9 through a series of arithmetic steps. First, the negative sign is handled to change the problem into basic additions and subtractions. After performing these operations, the final answer is determined to be 9 .
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