Properties of Real Numbers - Grade 12

Properties of Real Numbers

Read each question carefully and answer to the best of your ability. Show all your work where necessary.

1. Which property of real numbers is demonstrated by the equation 5 + (3 + 2) = (5 + 3) + 2?

2. The product of any real number and its multiplicative inverse is:

3. The   Property states that a(b + c) = ab + ac.

4. The additive inverse of a real number 'a' is  .

5. The number 0 is the   identity for addition.

6. All rational numbers are also irrational numbers.

7. The set of real numbers is closed under subtraction.

8. Explain the difference between the Commutative Property and the Associative Property of Addition. Provide an example for each.

9. Use the Distributive Property to simplify the expression: 3(2x - 5).

10. Plot the following real numbers on the number line below: -2.5, 0, 1.75, 4.

Match each property with its example.