Properties of Real Numbers

Properties of Real Numbers

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

1. Which property is illustrated by the equation 5 + (3 + 2) = (5 + 3) + 2?

2. Which property states that a(b + c) = ab + ac?

3. The   property states that changing the order of numbers in an addition or multiplication operation does not change the result.

4. The number 0 is the   for addition.

5. The inverse property of multiplication states that for every non-zero real number 'a', there exists a real number 1/a such that a * (1/a) =  .

6. The set of real numbers is closed under division (excluding division by zero).

7. The number line below shows the positions of various real numbers. Is the statement '√2 is between 1 and 2' true or false?

8. Explain the difference between the associative property and the commutative property.

Match each expression with the property it demonstrates.