Subtract The Following:1. $-9 - (-7) = $2. $22 - 28 = $

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Introduction

In mathematics, subtraction is a fundamental operation that involves finding the difference between two numbers. When it comes to subtracting negative numbers and positive numbers, it can be a bit tricky, but with a clear understanding of the rules, you'll be able to tackle these problems with ease. In this article, we'll delve into the world of subtracting negative numbers and positive numbers, exploring the rules and providing examples to help you grasp the concepts.

Subtracting Negative Numbers

When subtracting a negative number from a positive number, we need to follow a specific rule. The rule states that when we subtract a negative number, we actually add the positive equivalent of that number. Let's take a look at an example to illustrate this concept.

Example 1: Subtracting a Negative Number

  • −9−(−7)=?-9 - (-7) = ?

To solve this problem, we need to remember that subtracting a negative number is equivalent to adding a positive number. So, we can rewrite the problem as:

  • −9+7=?-9 + 7 = ?

Now, let's perform the addition:

  • −9+7=−2-9 + 7 = -2

Therefore, the correct answer is:

  • −9−(−7)=−2-9 - (-7) = -2

Subtracting Positive Numbers

When subtracting a positive number from a negative number, we need to follow a different rule. The rule states that when we subtract a positive number, we actually add the negative equivalent of that number. Let's take a look at an example to illustrate this concept.

Example 2: Subtracting a Positive Number

  • 22−28=?22 - 28 = ?

To solve this problem, we need to remember that subtracting a positive number is equivalent to adding a negative number. So, we can rewrite the problem as:

  • 22+(−28)=?22 + (-28) = ?

Now, let's perform the addition:

  • 22+(−28)=−622 + (-28) = -6

Therefore, the correct answer is:

  • 22−28=−622 - 28 = -6

Key Takeaways

When subtracting negative numbers and positive numbers, it's essential to remember the following key takeaways:

  • Subtracting a negative number is equivalent to adding a positive number.
  • Subtracting a positive number is equivalent to adding a negative number.
  • When subtracting a negative number, we need to change the sign of the number being subtracted.
  • When subtracting a positive number, we need to change the sign of the number being subtracted.

Conclusion

Subtracting negative numbers and positive numbers can be a bit tricky, but with a clear understanding of the rules, you'll be able to tackle these problems with ease. Remember to follow the rules outlined in this article, and you'll be well on your way to becoming a math whiz. Practice makes perfect, so be sure to try out the examples and exercises provided in this article to reinforce your understanding of subtracting negative numbers and positive numbers.

Additional Resources

If you're looking for more practice problems or want to learn more about subtracting negative numbers and positive numbers, here are some additional resources you can check out:

  • Khan Academy: Subtracting Negative Numbers
  • Mathway: Subtracting Negative Numbers
  • IXL: Subtracting Negative Numbers

Frequently Asked Questions

Here are some frequently asked questions about subtracting negative numbers and positive numbers:

  • Q: What is the rule for subtracting a negative number? A: The rule states that subtracting a negative number is equivalent to adding a positive number.
  • Q: What is the rule for subtracting a positive number? A: The rule states that subtracting a positive number is equivalent to adding a negative number.
  • Q: How do I change the sign of a number when subtracting? A: When subtracting a negative number, change the sign of the number being subtracted to positive. When subtracting a positive number, change the sign of the number being subtracted to negative.

Glossary

Here are some key terms related to subtracting negative numbers and positive numbers:

  • Negative number: A number that is less than zero.
  • Positive number: A number that is greater than zero.
  • Subtracting: The operation of finding the difference between two numbers.
  • Adding: The operation of finding the sum of two numbers.

References

Here are some references you can use to learn more about subtracting negative numbers and positive numbers:

  • "Mathematics for Dummies" by Mark Zegarelli
  • "Algebra and Trigonometry" by James Stewart
  • "Mathematics: A Very Short Introduction" by Timothy Gowers