Properties of Addition and Fractions

This video tutorial covers the use of commutative and associative properties to add fractions, both with like and unlike denominators. It explains how these properties can simplify the addition process and why the associative property is not applicable to subtraction. The tutorial includes practical examples, such as calculating ribbon lengths and comparing walking distances, to demonstrate the application of these properties in real-world scenarios. The video concludes with a transition to the next chapter on multiplying fractions.

What property allows you to rearrange addends without changing the sum?

• Distributive Property

• Associative Property

• Commutative Property

• Identity Property

Which property is also known as the 'grouping property'?

• Distributive Property

• Identity Property

• Associative Property

• Commutative Property

Why can't the associative property be used for subtraction?

• It changes the order of operations

• It changes the minuend into a subtrahend

• It only works for multiplication

• It requires common denominators

How can you add fractions with like denominators more easily?

• By using the distributive property

• By using mental math

• By converting them to decimals

• By finding a common denominator

What is the first step when using properties to add fractions with different denominators?

• Find a common denominator

• Use the commutative property to rearrange

• Convert fractions to decimals

• Use the associative property to group

What is the common denominator of 1/3 and 1/7?

• 28

• 21

• 14

• 10

How can you simplify a fraction?

• By subtracting the numerator from the denominator

• By adding the numerator and denominator

• By dividing the numerator and denominator by their greatest common factor

• By multiplying the numerator and denominator by the same number

What is the result of adding 2 and 1/10 to 1 and 9/10?

• 3

• 4

• 4 and 1/5

• 4 and 1/10

How much ribbon did Sanjay use for the third kite if he used 12 and a half feet in total?

• 3 and 4/5 feet

• 3 and 3/5 feet

• 3 and 1/5 feet

• 3 and 2/5 feet

Who walked farther, Emma or Tala, and by how much?

• Emma by 1/2 mile

• Emma by 1/4 mile

• Tala by 1/4 mile

• Tala by 1/2 mile