Adding Rational Numbers Using Rules

This video tutorial explores rational numbers and how to add them using integer rules. It covers the definition of rational numbers, including integers, decimals, and fractions, and explains two key rules for addition: same sign addition and different sign addition. The video provides examples for each rule, followed by practice problems and solutions. It concludes with a fun historical fact about Pythagoras and his belief in expressing numbers as fractions.

Which of the following is an example of a rational number?

• e

• π

• -0.75

• √2

What is the rule for adding two numbers with the same sign?

• Subtract and keep the sign of the larger number

• Add and keep the sign

• Add and change the sign

• Subtract and change the sign

When adding two numbers with different signs, what should you do?

• Subtract and keep the sign of the smaller absolute value

• Subtract and keep the sign of the larger absolute value

• Add and keep the sign of the larger number

• Add and keep the sign of the smaller number

In the practice problem, what is the result of adding +11/12 and -7/12?

• 1/2

• 1/3

• 1/4

• 1/5

What did Pythagoras and his followers believe about numbers?

• All numbers are irrational

• All numbers are complex

• All numbers are imaginary

• All numbers can be expressed as fractions of whole numbers