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.

Which of the following is NOT a rational number?

• 1/3

• 0.75

• √2

• -3

What is the absolute value of -4.5?

• -4.5

• 4.5

• 0

• 9

When adding two negative numbers, what will be the sign of the result?

• Positive

• Negative

• Zero

• It depends on the numbers

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

• The result is zero

• The result takes the sign of the number with the larger absolute value

• The result is always negative

• The result is always positive

What is the result of adding -2.5 and 1.5?

• -4.0

• -1.0

• 1.0

• 0