Problem 11 Simplify \(15-7+5+8-6\) A. 5 ... [FREE SOLUTION]

91影视

Chapter 2: Problem 11

Simplify \(15-7+5+8-6\) A. 5 B. 25 C. 15 D. \(-5\)

Short Answer

Expert verified

The simplified expression is 15, which corresponds to option C.

Step by step solution

Perform the Subtraction

Start with the first operation. Subtract 7 from 15: \(15 - 7 = 8\).

Add the Next Number

Add 5 to the result from Step 1:\(8 + 5 = 13\).

Add the Next Number

Add 8 to the result from Step 2:\(13 + 8 = 21\).

Subtract the Last Number

Subtract 6 from the result from Step 3:\(21 - 6 = 15\).

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.

Simplification

When solving arithmetic expressions, one of the first things to do is simplification.
You need to break down complex expressions into simpler ones. This helps in making calculations easier and avoids errors.
The main goal in simplification is to transform the expression into its simplest form while preserving its original value.

Identify numbers and operations in the expression.
Follow the correct order of operations to combine numbers.
Reduce each step until you achieve a single result.

Simplifying ensures clarity and consistency when you tackle math problems. It's like cleaning up all the messy parts of a problem so only the straightforward answer remains.

Arithmetic Operations

Arithmetic operations are basic math functions we use to calculate numbers.
They include addition, subtraction, multiplication, and division. These operations are the foundation of most math exercises, including the given problem. Understanding these operations is crucial:

**Addition (+):** Combining two or more numbers to get a total.
**Subtraction (-):** Removing one number from another to find the difference.
**Multiplication (脳):** Repeated addition of a number.
**Division (梅):** Splitting a number into equal parts.

In our example, we primarily deal with addition and subtraction. Remember, arithmetic operations often follow a specific sequence, known as the "order of operations" to ensure consistent and correct results. This includes handling these operations in a left-to-right sequence for the same level of operations, like addition and subtraction.

Subtraction and Addition

In mathematics, subtraction and addition are two core operations that you frequently encounter.
While they are opposite processes, understanding their interplay is essential for handling various calculations. **Order in Arithmetic Expression:**

Begin where the first operation starts, typically from the left.
Subtraction and addition have the same priority, so resolve them sequentially.

For example, in the expression \(15 - 7 + 5 + 8 - 6\), you begin by subtracting 7 from 15, which gives 8.
Then, add 5, followed by 8, and finally subtract 6 to simplify it to the result of 15.
Handling these operations step-by-step as they appear ensures that your final answer is accurate.

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

Simplify \(15-7+5+8-6\) A. 5 B. 25 C. 15 D. \(-5\)

Short Answer

Step by step solution

Perform the Subtraction

Add the Next Number

Add the Next Number

Subtract the Last Number

Key Concepts

Simplification

Arithmetic Operations

Subtraction and Addition

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Mechanics Maths

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.