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 your work where necessary.
1. Which property is demonstrated by the equation: (2 + 3) + 4 = 2 + (3 + 4)?
Commutative Property
Associative Property
Distributive Property
Identity Property
2. What is the additive inverse of -5/2?
5/2
-2/5
2/5
0
3. The property states that changing the order of addends does not change the sum.
4. The number 1 is the multiplicative for rational numbers.
5. The property allows us to multiply a sum by multiplying each addend separately.
6. All whole numbers are rational numbers.
True
False
7. The product of a rational number and its multiplicative inverse is always 0.
True
False
8. Use the distributive property to simplify the expression: 3 * (5 + 7)
9. Explain why 0 has no multiplicative inverse.
10. Plot the following rational numbers on the number line: -1/2, 0.75, -2, 1/4
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