Problem 24 Simplify each expression. $$ ... [FREE SOLUTION]

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Chapter 1: Problem 24

Simplify each expression. $$ 9-6-5 $$

Short Answer

Expert verified

-2

Step by step solution

Identify the operation sequence

Notice that the expression contains subtraction operations that need to be performed from left to right: 9 - 6 - 5.

First subtraction

Subtract 6 from 9: 9 - 6 = 3

Second subtraction

Now subtract 5 from the result of the first subtraction: 3 - 5 = -2

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Key Concepts

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

Order of Operations

When simplifying mathematical expressions, following the order of operations is crucial. It ensures consistent and correct results. This order is often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
In the given problem, we focus on the subtraction operations. While subtraction is typically straightforward, it鈥檚 vital to perform operations from left to right. This can be seen in our example: simplifying 9 - 6 - 5. Here, subtraction is executed sequentially without altering the given order.

Subtraction

Subtraction is one of the basic arithmetic operations. It involves taking one number away from another. The first number in a subtraction sentence is called the minuend, and the second number is called the subtrahend. The result is known as the difference.
For instance, in the problem 9 - 6 - 5, first, we subtract 6 (subtrahend) from 9 (minuend), resulting in a difference of 3. Next, this difference (now the new minuend) has 5 subtracted from it. It yields the final difference of -2. Thus, performing each step in the sequence is essential for accuracy.

Integer Arithmetic

Integer arithmetic deals with arithmetic operations involving whole numbers. These include positive numbers, negative numbers, and zero. When subtracting integers, understanding how negative numbers work is crucial.
In our example, after getting 3 from 9 - 6, we subtract 5. Since 5 is greater than 3, the result is negative, which leads to -2. This highlights the importance of understanding how integers interact during subtraction.
Concepts to remember:

Positive - Positive = Smaller Positive
Positive - Larger Positive = Negative
Negative - Negative = Follow sign rules carefully

Always pay attention to the sign of the integers involved to ensure correct results.

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91影视

Simplify each expression. $$ 9-6-5 $$

Short Answer

Step by step solution

Identify the operation sequence

First subtraction

Second subtraction

Key Concepts

Order of Operations

Subtraction

Integer Arithmetic

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