A. Complete the table: Which property of real number justifies each
statement?
Property
Closure Property
Given
1. O + (-5) = -5
2.2(5-3) = 2(5) -- 2(3)
3.(-6) + (-7) = (-7) + (-6)
4.1 x 8 = 8
5.8 + 1/8 = 1
6.2 x (5 x 7) = (2 x 5) x 7
7.20 + (-20) = 0
8.3(6) = 6(3)
9.1 x (3/4) = 3/4
10.(-4)(5 +21) = (-4)(5) + (-4)(21)
statement?
Property
Closure Property
Given
1. O + (-5) = -5
2.2(5-3) = 2(5) -- 2(3)
3.(-6) + (-7) = (-7) + (-6)
4.1 x 8 = 8
5.8 + 1/8 = 1
6.2 x (5 x 7) = (2 x 5) x 7
7.20 + (-20) = 0
8.3(6) = 6(3)
9.1 x (3/4) = 3/4
10.(-4)(5 +21) = (-4)(5) + (-4)(21)
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Answers & Comments
1. Additive identity property
⠀⠀⠀⠀⠀⠀⠀⠀⠀
2. Distributive property
⠀⠀⠀⠀⠀⠀⠀⠀⠀
3. Commutative property
⠀⠀⠀⠀⠀⠀⠀⠀⠀
4. Multiplicative identity property
⠀⠀⠀⠀⠀⠀⠀⠀⠀
5. Inverse property of multiplication
⠀⠀⠀⠀⠀⠀⠀⠀⠀
6. Associative property
⠀⠀⠀⠀⠀⠀⠀⠀⠀
7. Inverse property of addition
⠀⠀⠀⠀⠀⠀⠀⠀⠀
8. commutative property
⠀⠀⠀⠀⠀⠀⠀⠀⠀
9. Multiplicative identity property
⠀⠀⠀⠀⠀⠀⠀⠀⠀
10. Distributive property