Exploring Properties of Numbers in Basic Math

This video tutorial by Luis Anthony covers the properties of numbers, including reflexive, symmetric, transitive, substitution, additive, and multiplicative properties of equality. It also discusses properties of inequality, absolute values, closure, commutativity, associativity, identity, inverse, and the distributive property. The lesson includes examples and concludes with a quiz to reinforce learning.

Which property states that a number is equal to itself?

• Symmetric Property

• Transitive Property

• Substitution Property

• Reflexive Property

What does the additive property of equality allow you to do?

• Subtract different values from both sides of an equation

• Add equal values to both sides of an equation

• Multiply equal values to both sides of an equation

• Add different values to both sides of an equation

If a * b = 0, what must be true according to the zero factor property?

• a or b must be 0

• a or b must be 1

• a and b must be non-zero

• a and b must be equal

Which property states that for any two values, only one of the following can be true: they are equal, the first is smaller, or the first is larger?

• Symmetric Property

• Closure Property

• Law of Trichotomy

• Transitive Property of Inequality

What is the absolute value of a negative number?

• Negative

• Undefined

• Zero

• Positive

Which property states that the order of addition does not affect the sum?

• Associative Property of Addition

• Commutative Property of Addition

• Distributive Property

• Identity Property of Addition

What is the additive identity?

• 1

• Infinity

• Any number

• 0

What is the multiplicative inverse of 5?

• 5

• 1/5

• 0

• 5/1

What does the distributive property of multiplication over addition state?

• Multiplying a number by a sum is the same as dividing the number by each number in the sum

• Multiplying a number by a sum is the same as subtracting the number from each number in the sum

• Multiplying a number by a sum is the same as adding the number to each number in the sum

• Multiplying a number by a sum is the same as multiplying each number in the sum individually and then adding the products

What happens when you negate a sum according to the negation distributive property?

• The terms inside the parentheses are divided by one

• The signs of the terms inside the parentheses remain the same

• The signs of the terms inside the parentheses change

• The terms inside the parentheses are multiplied by zero