Understanding Properties of Real Numbers

The video tutorial covers four examples of identifying properties of real numbers, focusing on the distributive and commutative properties. It begins with an introduction to the distributive property, showing how multiplication is distributed over addition. The commutative property of multiplication is then explained, demonstrating how the order of factors can be changed without affecting the product. Further examples of the distributive property are provided, illustrating distribution from both the left and right. Finally, the commutative property of addition is discussed, showing how the order of addends can be changed without affecting the sum.

What property is demonstrated when a number is multiplied by each term inside a parenthesis?

• Distributive Property

• Associative Property

• Commutative Property

• Identity Property

Which property allows you to change the grouping of numbers in a multiplication problem without changing the result?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

What is the standard form of the distributive property?

• a + (b + c) = (a + b) + c

• a * b = b * a

• a + b = b + a

• a * (b + c) = a * b + a * c

Which property is shown when the order of multiplication changes but the product remains the same?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

What property is illustrated by the equation 4y + 2 * 10 = 10 * (4y + 2)?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

Which property is demonstrated by the equation a * b = b * a?

• Commutative Property

• Identity Property

• Distributive Property

• Associative Property

In the expression 9a * 10 + 2 * 10, which property is being used?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

What is the result of applying the commutative property of addition to the expression 10 + 9x?

• 9x + 10

• 10x + 9

• 19x

• 10 + 9x

Which property is used when the order of terms in an addition problem is changed?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

What is the result of applying the commutative property of addition to the expression 5 * (10 + 9x)?

• 5 * (10 + 9x)

• 5 * (9x + 10)

• 5 * 10 + 5 * 9x

• 5 * 19x