Adding Rational Numbers: Key Rules and Strategies

The video tutorial covers the final part of lesson 3.2, focusing on adding rational numbers using rules applicable to integers. It explains integer addition rules, including handling like and different signs, and properties like associative and commutative. The tutorial provides examples, such as Emma's fabric usage and Mrs. Lee's profit calculation, to illustrate these concepts. It concludes with helpful hints for adding rational numbers efficiently.

What is an integer?

• A fraction

• A positive or negative whole number

• A decimal

• A number with a denominator of zero

What is the rule for adding two integers with like signs?

• Add their absolute values and use the sign of the larger number

• Subtract their absolute values and use the sign of the larger number

• Add their absolute values and use the common sign

• Subtract their absolute values and use the common sign

What does the associative property of addition state?

• The sum is always the same regardless of the order of addition

• The sum is always the same regardless of the grouping

• The sum is always different regardless of the grouping

• The sum is always different regardless of the order of addition

How many yards of fabric does Emma have left after making a skirt and a dress?

• 6 yards

• 3 yards

• 4 yards

• 5 yards

What is the purpose of using brackets in mathematical equations?

• To change the order of operations

• To make the equation more complex

• To eliminate zero pairs

• To group numbers when parentheses are already used

What was Mrs. Lee's overall profit or loss?

• A loss of $8.50

• A profit of $3.50

• A profit of $8.50

• A loss of $3.50

How do you find the difference between two numbers with different signs?

• Subtract their absolute values and use the sign of the larger number

• Subtract their absolute values and use the sign of the smaller number

• Add their absolute values and use the common sign

• Add their absolute values and use the sign of the larger number

What is a zero pair in mathematics?

• Two numbers that multiply to zero

• Two numbers that divide to zero

• Two numbers that subtract to zero

• Two numbers that add up to zero

What is one helpful hint for adding three or more rational numbers?

• Always add the smallest numbers first

• Look for numbers that are additive inverses

• Ignore the signs of the numbers

• Group numbers with different signs together

What should you look for to quickly eliminate zero pairs?

• Numbers that are additive inverses

• Numbers that are fractions

• Numbers with the same sign

• Numbers that are decimals