Question

Use properties of operations to add positive and negative integers using efficient and generalizable procedures.
Describe this as a 7th grader

Add (-12) and (-15).
Answer -27

Answer 1

simplify it a lot into small parts yet still have some information

Answer 2

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:
- 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!

Answer 3

Sure! Here’s a simplified version in small parts:

### Step 1: Understand the Numbers
- You have two negative numbers: **-12** and **-15**.
- Think of them as money you owe: If you owe $12 and $15, how much do you owe in total?

### Step 2: Add Their Absolute Values
- The absolute value of -12 is **12**.
- The absolute value of -15 is **15**.
- Now, add those numbers: **12 + 15 = 27**.

### Step 3: Keep the Negative Sign
- Since both numbers are negative, your answer will also be negative: **-27**.

### Final Answer
So, **-12 + (-15) = -27**.

### Summary:
1. Add the absolute values: 12 + 15 = 27.
2. Add the negative sign: the answer is -27.

That's it!