Use properties of operations to add positive and negative integers using efficient and generalizable procedures.

Question

Describe this as a 7th grader

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

Answer 1

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 2

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

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!