Exploring the Properties of Real Numbers

What is the additive identity property?

• a * (1/a) = 1

• a + 0 = a

• a * 1 = a

• a + (-a) = 0

Which number is the multiplicative identity element?

• 2

• -1

• 1

• 0

What does the additive inverse property state?

• a * 1 = a

• a * (1/a) = 1

• a + 0 = a

• a + (-a) = 0

Which property is demonstrated by the equation 3 + (-3) = 0?

• Multiplicative Inverse

• Multiplicative Identity

• Additive Inverse

• Additive Identity

What does the commutative property of addition state?

• a + b = b + a

• a * b = b * a

• a + (b + c) = (a + b) + c

• a * (b * c) = (a * b) * c

Which property is illustrated by the equation 3 * 5 * 2 = 3 * (5 * 2)?

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Commutative Property of Multiplication

What does the distributive property state?

• a + (b + c) = (a + b) + c

• a * b = b * a

• a + b = b + a

• a * (b + c) = a * b + a * c

Which property is demonstrated by the equation 3 * (x + 2) = 3x + 6?

• Inverse Property

• Distributive Property

• Associative Property

• Commutative Property

What is the absolute value of -5?

• -5

• 5

• 10

• 0

How do you find the distance between two points on a number line?

• Multiply the two points

• Find the absolute value of their difference

• Subtract the smaller point from the larger point

• Add the two points