Answered: Your student, Joel is very confused…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Your student, Joel is very confused about negative numbers. He does not process abstract concepts very well. How can you teach him in two different clear ways how to compare -3 and 4 in a way that he will understand?

Joel is still confused. Try again. Use another way.

Expert Solution

Step 1

To find the different ways to compare -3 and 4.

Step 2

Positive numbers are any numbers greater than zero.

And negative numbers are any numbers lesser than zero.

For every positive number there will be the corresponding negative number with minus (-) sign in front of that number.

Usually we compare positive and negative numbers with greater than(>) or less than (<) or equal (=) signs.

Positive numbers will always be greater than negative numbers $\Rightarrow$ Negative numbers are always lesser than positive numbers.

Since -3 is a negative number and 4 is a positive number we have

- 3 < 4 . i.e., -3 is less than 4.

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