70 Divided By -6: Simple Math Solution

Mathematics is an essential part of our daily lives, and being able to solve mathematical problems quickly and accurately is a valuable skill. In this article, we will focus on solving a simple division problem: 70 divided by -6.

Division is a basic mathematical operation that involves sharing a certain number of items into equal groups. In this case, we want to divide 70 by -6. But before we dive into the solution, let's first understand the concept of division by a negative number.

Understanding Division by a Negative Number

When we divide a number by a negative number, the result is always negative. This is because the negative sign changes the direction of the result. For example, 10 divided by -2 is equal to -5, not 5.

Solving 70 Divided by -6

Now that we understand the concept of division by a negative number, let's solve the problem:

70 ÷ -6 =?

To solve this problem, we can simply divide 70 by 6 and then add a negative sign to the result. The reason we can do this is that the negative sign only affects the direction of the result, not the magnitude.

So, let's divide 70 by 6:

70 ÷ 6 = 11.67

Now, let's add a negative sign to the result:

-11.67

Therefore, 70 divided by -6 is equal to -11.67.

Why is this Solution Important?

Understanding how to divide by negative numbers is an essential skill in mathematics. It's used in a wide range of applications, from science and engineering to finance and economics.

For example, in physics, dividing by a negative number can help us calculate the direction of a force or the velocity of an object. In finance, dividing by a negative number can help us calculate the return on investment (ROI) of a portfolio.

Practical Examples

Here are a few practical examples of how dividing by a negative number can be used in real-life situations:

• A company has a profit of $100,000, but it also has a loss of $60,000. To calculate the net profit, we need to divide the profit by the negative loss: $100,000 ÷ -$60,000 = -$1.67 (or a net loss of $1.67 per dollar).
• A car is traveling at a speed of 60 miles per hour, but it's heading in the opposite direction. To calculate the velocity of the car, we need to divide the speed by the negative direction: 60 miles per hour ÷ -1 = -60 miles per hour.

Tips and Tricks

Here are a few tips and tricks for solving division problems involving negative numbers:

• Always remember that dividing by a negative number changes the direction of the result.
• When dividing by a negative number, make sure to add a negative sign to the result.
• Practice, practice, practice! The more you practice solving division problems involving negative numbers, the more comfortable you'll become with the concept.

Common Mistakes

Here are a few common mistakes to avoid when solving division problems involving negative numbers:

• Forgetting to add a negative sign to the result.
• Dividing by a negative number without changing the direction of the result.
• Not checking the units of the result.

Real-World Applications

Dividing by negative numbers has a wide range of real-world applications, including:

• Science and engineering: Dividing by negative numbers can help us calculate the direction of a force or the velocity of an object.
• Finance and economics: Dividing by negative numbers can help us calculate the return on investment (ROI) of a portfolio.
• Computer programming: Dividing by negative numbers is used in programming languages to calculate the direction of a pointer or the velocity of an object.

Conclusion

In conclusion, solving division problems involving negative numbers is an essential skill in mathematics. By understanding the concept of division by a negative number and practicing with simple problems, we can become more comfortable with the concept and apply it to a wide range of real-world applications.

Gallery of Division Problems

Division Problems Image Gallery

Frequently Asked Questions

What is the result of 70 divided by -6?

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The result of 70 divided by -6 is -11.67.

Why is dividing by a negative number important?

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Dividing by a negative number is important because it helps us calculate the direction of a force or the velocity of an object in science and engineering, and it also helps us calculate the return on investment (ROI) of a portfolio in finance and economics.

How can I practice solving division problems involving negative numbers?

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You can practice solving division problems involving negative numbers by using online resources, such as math websites and apps, or by working with a tutor or teacher.