Problem 33 For exercises 1-80, evaluate. ... [FREE SOLUTION]

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Elementary Algebra

Laura Bracken, Ed Miller

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 0: Problem 33

For exercises 1-80, evaluate. $$ (19-10)-3 $$

Short Answer

Expert verified

The result is 6.

Step by step solution

- Perform the first subtraction

First, evaluate the expression inside the parentheses: $ 19 - 10 $.

- Compute $ 19 - 10 $

Subtract 10 from 19 to get $ 19 - 10 = 9 $.

- Subtract from the result

Now, take the result from the first step, which is 9, and subtract 3: $ 9 - 3 $.

- Compute $ 9 - 3 $

Subtract 3 from 9 to get $ 9 - 3 = 6 $.

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Key Concepts

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

Order of Operations

Understanding the 'order of operations' is critical in solving algebraic expressions correctly. It tells us the sequence in which we should solve parts of an expression. Usually, operations inside parentheses are done first, then exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right). In this exercise, the operation inside the parentheses, $19-10$, must be performed first. This rule helps prevent errors and ensures clarity.

Basic Arithmetic

Before diving into advanced algebra, it's important to be comfortable with basic arithmetic operations: addition, subtraction, multiplication, and division. These are the building blocks of more complex math problems. In the given exercise, we focus on subtraction, which is crucial in basic arithmetic. Subtraction involves taking away one number from another. Here, we first subtract 10 from 19 to simplify the expression inside the parentheses to 9.

Subtraction Process

Subtraction is the process of finding the difference between two numbers. The basic formula used is $a - b$, where 'a' is the minuend (the number from which another number is subtracted) and 'b' is the subtrahend (the number which is to be subtracted). In our example, the subtraction process is demonstrated twice. First, we use it within the parentheses: $19 - 10$, resulting in 9. Then, it is applied again to the outcome: $9 - 3$, which gives us the final answer of 6. By following these steps precisely, subtraction becomes a straightforward and manageable task.

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91影视

For exercises 1-80, evaluate. $$ (19-10)-3 $$

Short Answer

Step by step solution

- Perform the first subtraction

- Compute \( 19 - 10 \)

- Subtract from the result

- Compute \( 9 - 3 \)

Key Concepts

Order of Operations

Basic Arithmetic

Subtraction Process

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