Simplify the expression -9+ 4+ (14) + 9 =
The Correct Answer and Explanation is:
To simplify the expression −9+4+14+9-9 + 4 + 14 + 9−9+4+14+9, we will follow the basic order of operations (also known as PEMDAS). However, since this expression only involves addition and subtraction, we simply work from left to right.
Here is the breakdown:
- Start with the first two numbers: −9+4-9 + 4−9+4.
- When you add −9-9−9 and 444, you are essentially subtracting 9 from 4. This gives you:
- Next, take the result of −5-5−5 and add 141414:
- Now, you’re adding 14 to −5-5−5, which can be thought of as moving 14 units to the right from −5-5−5:
- Finally, add 999 to the result of 999:
- Adding 9 to 9 gives:
Thus, the simplified value of the expression −9+4+14+9-9 + 4 + 14 + 9−9+4+14+9 is 181818.
Explanation:
Addition and subtraction are operations that can be performed sequentially, from left to right, as there are no parentheses or exponents to consider. Each step simply combines the numbers in a straightforward manner. It’s essential to handle negative and positive numbers correctly:
- Negative numbers decrease the sum.
- Positive numbers increase the sum.
In this expression, each of the operations was performed step by step to get to the final result. The use of negative and positive integers required careful attention to how the numbers interact when added or subtracted.
