Grade 11 Math: Properties of Numbers
Explore the fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties.
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Properties of 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 is illustrated by the equation a + (b + c) = (a + b) + c?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. What is the multiplicative inverse of -3/4?
3/4
-4/3
4/3
-3/4
3. The property states that for any real numbers a and b, a + b = b + a.
4. The number 0 is the additive because for any real number a, a + 0 = a.
5. The distributive property allows us to write a(b + c) as ab + c.
True
False
6. Every real number has a multiplicative inverse.
True
False
7. Explain the difference between the commutative and associative properties of addition.
Match each property with its example.
8. Additive Inverse
a. 5 * (2 + 3) = 5 * 2 + 5 * 3
9. Multiplicative Identity
b. 7 + (-7) = 0
10. Distributive Property
c. 1 * 9 = 9
11. Plot the numbers -2, 0, 1.5, and 3 on the number line below.