Sure, let’s break down how to add negative integers step by step so it's easy to understand!
Step 1: Understand the Numbers
You have two negative numbers: -12 and -15. When we talk about adding negative numbers, think of it like owing money. If you owe $12 and you owe another $15, how much do you owe in total?
Step 2: Use the Number Line
One way to visualize adding negative numbers is by using a number line:
- Start at 0.
- Move left to -12 (this is our first number).
- From -12, you need to move left another 15 spaces (because -15 means you're moving further into the negative).
Step 3: Calculate the Total
Now, let's do the math:
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From -12, if you move left 15 spaces, you can think of it as:
- Start at -12
- Move 12 spaces left to reach -24
- Then, move 3 more spaces left to reach -27
So, -12 + (-15) = -27.
Step 4: Combine the Numbers
When you add two negative integers, you simply add their absolute values (the numbers without the negative sign) and keep the negative sign.
This means:
- The absolute value of -12 is 12.
- The absolute value of -15 is 15.
- Add those together: 12 + 15 = 27.
- Since both numbers are negative, we keep the negative sign: -27.
Final Answer
So when you add (-12) and (-15), you get -27. It makes sense because when you owe more money, your total debt just increases!
In Conclusion: When you add two negative integers, just add their absolute values and put a negative sign in front of the answer. That's how you add negative integers efficiently!