Properties of Real Numbers Worksheet
Explore and apply the fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties.
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Properties of Real Numbers
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which property is illustrated by the equation 5 + (3 + 2) = (5 + 3) + 2?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. What is the additive inverse of -7?
7
1/7
-1/7
0
3. The Property states that changing the order of addends does not change the sum.
4. The multiplicative inverse of a number 'a' (where a ≠ 0) is .
5. The Property allows us to multiply a sum by multiplying each addend separately and then adding the products.
6. The set of real numbers includes all rational and irrational numbers.
True
False
7. The number 0 has a multiplicative inverse.
True
False
8. Identify the property used in each step to simplify the expression: 3(x + 2) - 5
9. Explain the difference between the Commutative Property and the Associative Property.
10. Plot the numbers -2, 0, 3.5, and √9 on the number line below.
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