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Chapter 3: Problem 166

In the following exercises, simplify each expression. $$64+(-17)-9$$

Short Answer

Expert verified
38

Step by step solution

01

Identify the numbers

The given expression is 64 + (-17) - 9. It contains three numbers: 64, -17, and -9.
02

Combine the first two terms

Add the first two numbers together: 64 + (-17). This is the same as subtracting 17 from 64. 64 - 17 = 47.
03

Subtract the third term from the result

Now subtract 9 from the result obtained in Step 2: 47 - 9 = 38.
04

Simplified expression

The simplified expression is 38.

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Key Concepts

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

Addition and Subtraction
Addition and subtraction are fundamental operations in arithmetic. They are used to combine or separate quantities.
When you see a problem like \(64 + (-17) - 9\), it combines both addition and subtraction steps.
To simplify this, regard the negative sign as subtracting the absolute value and proceed step by step.
  • First, add the numbers: 64 and \(-17\).
  • Then, subtract the resulting value: 47 minus 9.
Breaking the problem into these smaller chunks makes it more manageable.
Integer Operations
Integer operations involve working with whole numbers, both positive and negative.
In our exercise, we had the numbers 64, -17, and -9. Each of these is an integer.
When combining these integers, follow a set process to avoid errors.
Understanding how to work with negative numbers is key. For instance, when you see \(+ (-17)\), it's important to recognize this means subtraction.
  • Add 64 and -17. This is like subtracting 17 from 64.
  • The result is 47.
Working through these steps systematically ensures accurate computations.
Arithmetical Steps
Solving problems involving multiple steps requires a clear method.
  • Start by identifying all the numbers in the expression: 64, -17, and -9.
  • Combine the first two numbers: 64 and -17.
  • This gives us 47.
  • Then, subtract the final number from this result: 47 - 9.
  • The simplified expression equals 38.
Following these arithmetical steps is crucial to avoid mistakes. Ensure each part of the process is clear before moving to the next step.
This methodical approach guarantees accuracy, making complex problems simpler to solve.

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Most popular questions from this chapter

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