Exploring Adding and Subtracting Rational Expressions

This video tutorial covers various properties of multiplication and addition, including commutative, associative, distributive, identity, zero, and inverse properties. Each property is explained with numerical and algebraic examples, demonstrating how they can be used to simplify and rearrange expressions. The tutorial also includes practice problems to reinforce understanding.

What does the commutative property of addition state?

• The order of terms affects the sum.

• The grouping of terms does not affect the sum.

• The order of terms does not affect the sum.

• The grouping of terms affects the sum.

Which of the following is an example of the commutative property of multiplication?

• 5 * 4 = 20

• 5 + 4 = 9

• 5 * 4 = 4 * 5

• 5 + 4 = 4 + 5

What does the associative property of addition state?

• The grouping of terms does not affect the sum.

• The grouping of terms affects the sum.

• The order of terms does not affect the sum.

• The order of terms affects the sum.

Which of the following is an example of the associative property of multiplication?

• 8 * 7 = 7 * 8

• 8 * 7 = 56

• 8 + 7 = 7 + 8

• (8 * 7) * 2 = 8 * (7 * 2)

What is the distributive property?

• a + (b + c) = a + b + c

• a * (b + c) = a + b + c

• a + (b * c) = a + b * c

• a * (b + c) = a * b + a * c

Which of the following is an example of the distributive property?

• 7 * (5 + 1) = 7 + 5 + 1

• 7 + (5 + 1) = 7 + 5 + 1

• 7 + (5 * 1) = 7 + 5 * 1

• 7 * (5 + 1) = 7 * 5 + 7 * 1

What does the identity property of addition state?

• The product of one and a number is zero.

• The product of one and a number is itself.

• The sum of zero and a number is zero.

• The sum of zero and a number is itself.

What is the multiplication property of zero?

• Anything multiplied by one is zero.

• Anything multiplied by zero is itself.

• Anything multiplied by zero is zero.

• Anything multiplied by one is itself.

What does the inverse property of addition state?

• The product of a number and its reciprocal is itself.

• The sum of a number and its opposite is zero.

• The sum of a number and its opposite is itself.

• The product of a number and its reciprocal is zero.

Which of the following is an example of the inverse property of multiplication?

• 3/4 + 4/3 = 3/4

• 3/4 * 4/3 = 1

• 3/4 + 4/3 = 1

• 3/4 * 4/3 = 3/4