Adding Rational Numbers: Algorithms and Number Lines

This video tutorial teaches how to add rational numbers using algorithms and number lines. It begins with an introduction to rational numbers, explaining that they can be expressed as fractions and include integers. The concept of absolute value is discussed, highlighting its role in determining the distance from zero on a number line. The tutorial then covers the rules for adding numbers with like signs, providing examples with both positive and negative numbers. Finally, it explains the algorithm for adding numbers with different signs, emphasizing the importance of absolute values and the number line in determining the result's sign.

What is a rational number and how can it be expressed?

Explain the rule for adding two numbers with like signs.

What is the algorithm for adding numbers with different signs?

How do you determine the sign of the answer when adding numbers with different signs?

Provide an example of adding two rational numbers and explain the process.