what is the difference of -89.16 – 154.81?
-243.97-65.
6565.65253.97
The correct answer and explanation is:
Let’s break down and simplify the expression step-by-step:
Given expression:
−89.16−154.81−243.97−65.65+65.65+253.97-89.16 – 154.81 – 243.97 – 65.65 + 65.65 + 253.97
Step 1: Group like terms
Combine the negative numbers: −89.16−154.81−243.97−65.65=−553.59-89.16 – 154.81 – 243.97 – 65.65 = -553.59
Then, combine the positive numbers: +65.65+253.97=+319.62+65.65 + 253.97 = +319.62
Step 2: Add the totals
Now subtract the negative total from the positive total: −553.59+319.62=−233.97-553.59 + 319.62 = -233.97
✅ Final Answer:
−233.97\boxed{-233.97}
📘 Explanation (300 words):
The expression given includes a mix of positive and negative numbers. Solving such problems involves carefully following the order of operations and properly managing the signs of the numbers involved.
We start by rewriting the problem clearly: −89.16−154.81−243.97−65.65+65.65+253.97-89.16 – 154.81 – 243.97 – 65.65 + 65.65 + 253.97
Notice that the terms -65.65 and +65.65 cancel each other out, simplifying the expression. This is a key technique in simplifying algebraic and arithmetic expressions — look for terms that eliminate each other.
After cancellation, the simplified expression becomes: −89.16−154.81−243.97+253.97-89.16 – 154.81 – 243.97 + 253.97
Now, we group and calculate:
- Sum of negative terms: −89.16−154.81−243.97=−487.94-89.16 – 154.81 – 243.97 = -487.94
- Add the positive term: −487.94+253.97=−233.97-487.94 + 253.97 = -233.97
This shows how subtracting a large positive number from a larger negative sum still results in a negative number, just closer to zero.
This approach not only solves the problem but reinforces core math skills like grouping terms, handling positive and negative numbers, and simplifying expressions — all of which are essential for algebra and real-life problem-solving.