Properties of Rational Numbers
Explore and apply the properties of rational numbers, including commutative, associative, distributive, identity, and inverse properties.
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Properties of Rational Numbers
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which property states that a + b = b + a for rational numbers?
Associative Property
Commutative Property
Distributive Property
Identity Property
2. What is the additive inverse of -3/4?
4/3
-4/3
3/4
0
3. The property that allows us to multiply a sum by multiplying each addend separately and then adding the products is called the Property.
4. Any rational number multiplied by its multiplicative inverse equals .
5. The additive identity for rational numbers is .
6. The set of rational numbers is closed under division (except by zero).
True
False
7. (a + b) + c = a + (b + c) demonstrates the Commutative Property of Addition.
True
False
8. Identify the property illustrated by the equation: 5/2 * (2/5) = 1
9. Use the distributive property to simplify the expression: 1/3 * (6 + 9)
10. Plot the following rational numbers on the number line below: -1/2, 0.75, -2, 1/4
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