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Chapter 0: Problem 85

For exercises 15-100, evaluate. $$ -16-18 \div(-2) $$

Short Answer

Expert verified
-25

Step by step solution

01

Evaluate the Division

First, perform the division operation. Divide \(-18\) by \(-2\): \(-18\ \div (-2) = 9\)
02

Perform the Subtraction

Next, subtract the result from the first number: \(-16 - 9 = -25\)

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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 crucial in arithmetic and algebra. It tells you the correct sequence to solve parts of an expression. The usual order (remembered by the acronym PEMDAS) is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Without this, we can get different results for the same expression! Let's break down the order of operations for the problem \( -16-18 \div (-2) \).
According to PEMDAS, we need to perform the division before subtraction because division comes before subtraction when they are at the same level in an expression. So, we first divide \( -18 \div (-2) \).
Division
Now, let's handle the division operation involved in our expression. Division means taking one number and splitting it into equal parts. For this problem, we divide -18 by -2.
Here鈥檚 how we do it:
When you divide a negative number by another negative number, the result is a positive number because their signs cancel each other out.
So, \( -18 \div (-2) = 9\). Once this division is done, we move on to the next step in the original expression.
Subtraction
Finally, we need to perform the subtraction from the original expression. After solving the division, our expression now looks like this: \( -16-9 \).
Subtraction in algebra is taking one number away from another. When both numbers are negative or involve transactions resulting in a more negative number, you simply add the absolute values, but the result takes the sign of the larger absolute value.
Thus, \( -16 - 9 \) equals \( -25 \).
To summarize, by following the order of operations, performing the division correctly, and then the subtraction, we find that \( -16 - 18 \div (-2) = -25 \).

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Most popular questions from this chapter

$$ \text { Round } 0.0053 \text { to the nearest thousandth. } $$

For exercises \(85-108\), write \(>\) or \(<\) between the numbers to make a true statement. $$ \frac{3}{5} \quad \frac{2}{3} $$

For exercises \(13-24\), rewrite the fraction as a decimal number. $$ \frac{3}{5} $$

For exercises 115-118, evaluate. On a scientific calculator, use the fraction key. For graphing calculators, use the Frac command to rewrite the decimal answer as a fraction. $$ \frac{5}{34} \div \frac{8}{21} $$

For exercises \(47-58\), rewrite the percent as a decimal number. $$ 8.4 \% $$
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