Problem 87 - Introductory Algebra for College Students

Question

Without a calculator, you can add numbers using a number line, using absolute value, or using gains and losses. Which method do you find most helpful? Why is this so?

Step-by-Step Solution

Answer

The answer to this exercise will vary from student to student as it depends on their individual learning preference. For this answer, one could say 'I prefer addition with a number line because it gives me a visual way to see the process of adding, which helps me understand the concept better.' The explanations can vary based on personal experiences with each method.

Step 1: Reflect on Using a Number Line

To solve addition problems this way, numbers are plotted on a number line. The operation of addition can then be visualized as moving positively along the line. This method provides a visual representation which might be helpful for some.

Step 2: Reflect on Using Absolute Values

In using this method, each number's distance from zero on the number line is considered. This method is helpful when dealing with positive and negative numbers.

Step 3: Reflect on Using Gains and Losses

This method turns the process of addition into a story of gains (addition) or losses (subtraction). This method can be particularly beneficial for those who prefer conceptual or story-based learning.

Step 4: Choose Preferred Method and Explain the Reasoning

Consider each method and choose the one that feels most comfortable or suitable. Explain why this method is preferred over the others. The reason could be tied to visual understanding, concept interpretation, or ease of use.