Adding Rational Numbers

The video tutorial covers the addition of rational numbers, comparing it to adding integers. It explains the rules for adding rational numbers with the same and different signs, emphasizing the importance of absolute values. The tutorial includes practice problems for both scenarios, guiding viewers through the process of finding common denominators and determining the sign of the sum. The lesson concludes with a review of the rules and encourages practice.

What is the first step when adding rational numbers with the same sign?

• Find the absolute value of each number

• Find the common denominator

• Subtract the smaller number from the larger

• Multiply the numbers

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

• Depends on the numbers

• Zero

• Negative

• Positive

How do you find a common denominator for fractions?

• Multiply the denominators

• Subtract the smaller denominator from the larger

• Add the numerators

• Find the least common multiple of the denominators

What should you do after finding the common denominator when adding fractions?

• Multiply the numerators

• Add the numerators

• Subtract the numerators

• Divide the numerators

When adding rational numbers with different signs, which number's sign determines the sign of the sum?

• The number with the smaller absolute value

• The negative number

• The number with the larger absolute value

• The positive number

What is the rule for adding rational numbers with different signs?

• Multiply the numbers and take the sign of the larger

• Subtract the smaller absolute value from the larger and keep the sign of the larger

• Divide the numbers and take the sign of the smaller

• Add the absolute values and keep the sign of the larger

In the example of adding 13.2 and -8.1, what is the sign of the sum?

• Positive

• Negative

• Zero

• Cannot be determined

When adding fractions with different signs, what is the first step?

• Find a common denominator

• Multiply the denominators

• Add the numerators

• Subtract the numerators

What is the result of adding a smaller positive absolute value to a larger negative absolute value?

• A negative sum

• A larger positive sum

• A positive sum

• Zero

What should you do after determining the sign of the sum when adding rational numbers with different signs?

• Multiply the absolute values

• Divide the absolute values

• Add the absolute values

• Subtract the smaller absolute value from the larger