6 Simple Steps To Solve 12 Divided By -6

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Mathematics can be intimidating, but with a step-by-step approach, even the most daunting problems can become manageable. In this article, we'll break down the simple process of solving the division problem 12 divided by -6.

Understanding Division

Division is one of the four basic mathematical operations, and it's used to share a certain number of things into equal groups. When you divide one number by another, you're essentially asking how many groups of a certain size you can make from the total amount.

The Problem: 12 ÷ -6

Before we dive into the solution, let's take a look at the problem. We want to divide 12 by -6. The negative sign in front of the 6 indicates that we're dealing with a negative number.

Step 1: Understand the Sign Rule

When dividing numbers with different signs, there's a simple rule to follow:

• If the numbers have the same sign, the result will be positive.
• If the numbers have different signs, the result will be negative.

In our case, the dividend (12) is positive, and the divisor (-6) is negative. This means that our result will be negative.

Step 2: Divide the Absolute Values

Now that we've established the sign rule, let's focus on the absolute values of the numbers. We can ignore the signs for now and simply divide the absolute values.

| Dividend (12) | ÷ | Divisor (6) | = | Result (2) | | ------------ | - | ---------- | = | ---------- |

Step 3: Apply the Sign Rule

Now that we have the result of dividing the absolute values (2), we need to apply the sign rule. Since the original numbers had different signs, our result will be negative.

Result: -2

Step 4: Write the Final Answer

We've solved the problem, and now it's time to write the final answer.

12 ÷ -6 = -2

Step 5: Check Your Work

It's always a good idea to check your work to ensure that you've arrived at the correct answer. One way to do this is to multiply the result by the divisor to see if you get the original dividend.

-2 × -6 = 12

Yes, we get the original dividend! This confirms that our answer is correct.

Step 6: Practice, Practice, Practice

The more you practice solving division problems, the more comfortable you'll become with the process. Try solving different problems on your own to reinforce your understanding of division.

Conclusion

Solving the division problem 12 divided by -6 may seem daunting at first, but by breaking it down into simple steps, we can make it manageable. Remember to understand the sign rule, divide the absolute values, apply the sign rule, write the final answer, check your work, and practice, practice, practice!