Problem 50 Evaluate each of the following e... [FREE SOLUTION]

91影视

Understanding Elementary Algebra with Geometry

Lewis Hirsch, Arthur Goodman

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 50

Evaluate each of the following expressions, if possible. $$\frac{-10-25-15}{-5}$$

Short Answer

Expert verified

Step by step solution

Simplify the Numerator

First, simplify the expression in the numerator by combining all the terms. The numerator is $-10 - 25 - 15$. Add these values together to get $-10 - 25 - 15 = -50$.

Set Up the Division

Now, the expression can be written as a single division problem: $-50 \/ -5$.

Perform the Division

Divide the simplified numerator by the denominator. $-50 \/ -5 = 10$.

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Key Concepts

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

Numerical Simplification

When you simplify a numerical expression, you combine all like terms to make the number easier to handle. In the given exercise, we start by simplifying the numerator:

The expression is $-10 - 25 - 15$.
First, add the first two numbers: $-10 - 25 = -35$.
Next, add the result to the third number: $-35 - 15 = -50$.
So, the simplified numerator is $-50$.

This step makes it easier to see what you are working with and prepares the expression for division. Simplifying before executing more operations helps avoid mistakes and keeps calculations straightforward.

Division

Division is the mathematical operation where you split a number into equal parts. In the simplified expression, we need to divide $-50$ by $-5$. Here鈥檚 how you do it:

Write the expression to set up the division: $-50 / -5$.
Perform the division: how many times does $-5$ go into $-50$? That鈥檚 $+10$ times because dividing two negative numbers gives a positive result.
So, $-50 / -5 = 10$.

Breaking down the division step by step like this ensures that you understand why the answer is positive and checks for any possible mistakes.

Negative Numbers

Negative numbers are numbers less than zero, marked with a minus sign (鈭�). Understanding how to handle them is key to solving this type of problem:

When you add negative numbers, you're essentially summing up their absolute values and placing a negative sign in front of the total. For example, $-10 - 25 - 15 = -50$.
When you divide a negative number by another negative number, the result is positive. This is because the negatives cancel each other out. For example, $-50 / -5 = 10$.

Having a strong grasp of negative numbers helps you solve a wide range of mathematical problems accurately.

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91影视

Evaluate each of the following expressions, if possible. $$\frac{-10-25-15}{-5}$$

Short Answer

Step by step solution

Simplify the Numerator

Set Up the Division

Perform the Division

Key Concepts

Numerical Simplification

Division

Negative Numbers

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