Problem 63 Select the lesser of the two giv... [FREE SOLUTION]

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Chapter 1: Problem 63

Select the lesser of the two given numbers. \(|5-3|,|6-2|\)

Short Answer

Expert verified

The lesser number is 2.

Step by step solution

- Calculate the Absolute Difference for the First Number

The first number is given as \(|5 - 3|\). Calculate the absolute difference: \(|5 - 3| = 2\).

- Calculate the Absolute Difference for the Second Number

The second number is given as \(|6 - 2|\). Calculate the absolute difference: \(|6 - 2| = 4\).

- Compare the Two Results

Now compare the two absolute differences obtained in the previous steps. We have 2 and 4. The lesser of the two numbers is 2.

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Key Concepts

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

absolute value

Understanding absolute value is crucial for solving many mathematical problems. The absolute value of a number represents its distance from zero on the number line, without considering direction.

For example:

|5| = 5 because 5 is 5 units away from 0.
|-5| = 5 because -5 is also 5 units away from 0.

Absolute value is always a non-negative number. It helps to simplify comparisons and calculations where the sign doesn't matter.

comparison of numbers

Comparing numbers is a fundamental skill in math. When comparing absolute values, you analyze their magnitudes regardless of their original signs.

Consider the exercise where we have the absolute differences |5 - 3| and |6 - 2|.

We first find these differences:

|5 - 3| = 2
|6 - 2| = 4

Then, we compare these absolute values to determine which is smaller. Here, 2 is less than 4.

This principle can extend to any numbers and helps in various real-world applications, such as determining shortest paths and measuring differences.

basic arithmetic

Basic arithmetic forms the backbone of many mathematical operations. It includes addition, subtraction, multiplication, and division.

In this example, we used subtraction to find the absolute differences:

5 - 3 = 2
6 - 2 = 4

Subtraction helps us find the difference between two numbers. By calculating the absolute value of these differences, we ensured that the result is always positive or zero.

Strengthening your basic arithmetic skills is essential for mastering more complex math concepts and solving problems accurately.

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91影视

Select the lesser of the two given numbers. \(|5-3|,|6-2|\)

Short Answer

Step by step solution

- Calculate the Absolute Difference for the First Number

- Calculate the Absolute Difference for the Second Number

- Compare the Two Results

Key Concepts

absolute value

comparison of numbers

basic arithmetic

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