Problem 32 Simplify. $$ 175 \div(-25) ... [FREE SOLUTION]

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Chapter 15: Problem 32

Simplify. $$ 175 \div(-25) $$

Short Answer

Expert verified

-7

Step by step solution

Understand the Problem

The problem requires simplification of the division of 175 by -25.

Perform the Division

Divide the absolute values of the numbers: ewline 175 otdiv25 = 7.

Determine the Sign

Since one number is positive and the other is negative, the result will be negative. Therefore, ewline 175 otdiv(-25) = -7.

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Key Concepts

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

Simplification

Simplification in math is the process of making an expression easier to work with. In the given problem, we need to simplify 175 divided by -25.

To simplify this, follow these steps:

Perform the actual division by ignoring the signs initially. Divide 175 by 25 to get 7.

Next, determine the sign of the result based on the rules governing positive and negative numbers in division.

Simplifying expressions and calculations helps to make complex problems solvable and understandable, paving the way to tackle more challenging tasks.

Negative Numbers

Understanding negative numbers is crucial. Negative numbers are usually represented with a minus sign (鈥�) and indicate values below zero. Division with negative numbers follows specific rules, which makes it important to understand their behavior.

Rule for Division:

If you divide a positive number by a negative number, the result is negative.
If you divide two negative numbers, the result is positive.

For instance, with our problem of dividing 175 by -25, because one is positive and the other is negative, the result is -7.

Understanding these rules helps simplify and accurately solve math problems involving negative numbers.

Absolute Values

Absolute value refers to the distance of a number from zero, regardless of direction on the number line. It is always non-negative. The notation for absolute value is vertical bars around the number, like this: $|n|$.

For example, the absolute value of -25 is 25, and the absolute value of 175 is 175.

When simplifying expressions with division, we often consider the absolute values first to make calculations easier.

Consider the problem: 175 divided by -25. First, find the absolute values: |175| = 175 and |-25| = 25. Then divide these, which gives 7.
After calculating the absolute values鈥� division, apply the sign rules.

By focusing on absolute values first, you break down the problem into more manageable parts.

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91影视

Simplify. $$ 175 \div(-25) $$

Short Answer

Step by step solution

Understand the Problem

Perform the Division

Determine the Sign

Key Concepts

Simplification

Negative Numbers

Absolute Values

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