Problem 48 Perform the indicated operations... [FREE SOLUTION]

91影视

Chapter 0: Problem 48

Perform the indicated operations $$ -10-6-(-12)+9 $$

Short Answer

Expert verified

Step by step solution

- Simplify the subtraction of a negative number

Replace - (-12) with + 12 because subtracting a negative number is equivalent to adding the positive counterpart.

- Rewrite the expression

Now the expression becomes -10 - 6 + 12 + 9.

- Perform the addition and subtraction in order

First calculate -10 - 6to get -16. Next, add 12to -16to get -4. Finally, add 9to -4to get 5.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Subtraction of Integers

Subtraction of integers can sometimes be tricky. If you need to subtract a negative integer, it's like adding the positive version of that integer. For example, when you see -(-12), it turns into +12.

Here鈥檚 how it works:

Imagine you owe your friend 12 dollars. If that debt is canceled, it's like gaining 12 dollars.
The rule is: Subtracting a negative is the same as adding its positive counterpart.

Using this rule makes operations easier to handle. In our example, -10 - 6 - (-12) + 9 becomes -10 - 6 + 12 + 9.

Addition of Integers

Adding integers involves considering their signs. Positive numbers add value, while negative numbers reduce value.

Steps to follow:

If both numbers are positive, the result is positive.
If both numbers are negative, the result is negative.
If one is positive and one is negative, subtract the smaller absolute value from the larger absolute value and use the sign of the larger absolute value.

Let's look at our example: -10 - 6 + 12 + 9. First, add -10 and -6 to get -16. Then, add +12 to -16, which equals -4. Finally, adding +9 to -4 results in 5.

Simplifying Expressions

Simplifying expressions means making them as simple as possible. This often involves performing operations step-by-step and following the order of operations correctly.

To simplify expressions:

First, handle any parentheses.
Next, perform multiplication and division from left to right.
Finally, do addition and subtraction from left to right.

In our example:

First, change -(-12) to +12. The expression now is -10 - 6 + 12 + 9.
Then, perform the subtraction first: -10 - 6 = -16.
Next, add: -16 + 12 = -4.
Finally, add -4 and 9 to get 5.

By following these steps, you can simplify complex operations.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Perform the indicated operations $$ -10-6-(-12)+9 $$

Short Answer

Step by step solution

- Simplify the subtraction of a negative number

- Rewrite the expression

- Perform the addition and subtraction in order

Key Concepts

Subtraction of Integers

Addition of Integers

Simplifying Expressions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Probability and Statistics

Applied Mathematics

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.