Properties of Real Numbers Lesson 1

Which property allows us to multiply numbers in any order without affecting the result?

If $x = 3$ and $y = 5$, what is the value of $x + y$?

Which property states that the order of operations does not affect the result when adding or multiplying three numbers?

If $x = 2$, $y = 3$, and $z = 4$, what is the value of $(x + y) \times z$?

What is the value of $x$ if $x \times 1 = x$?

Which property allows us to justify the step of combining like terms in an algebraic expression?

What does commutativity state about addition of real numbers?

Which property justifies why variables can be treated like numbers in operations?

If 𝑥 and 𝑦 are real numbers, what is true about 𝑥.𝑦 according to the commutative property?

How does commutativity impact the multiplication of real numbers?

Why is it important to understand properties of real numbers when solving problems or proving theorems?

How do variables act in operations according to the text?

What property of real numbers justifies the equality $a + x = x + a$?

What property of real numbers is illustrated by the equality $3xy/y = 3xy$?

Which property of real numbers justifies the equality $5r + 3s - 5r + 3s = 0$?

What is the result of applying the difference of two squares identity to the expression $\sqrt{3} + \sqrt{-5}$?

What is the identity property of real numbers that states $x + 0 = x$ and $x \cdot 1 = x$?