Question

column i
column ii

1. $sqrt{3} + (-sqrt{3}) = 0$
2. $sqrt{34} \times 0 = 0$
3. $-sqrt{17} + 0 = -sqrt{17}$
4. $sqrt{3} \div 0 = \text{undefined}; 0 \div 2 = 0$
5. $sqrt{2}(\sqrt{3} - \sqrt{6}) = \sqrt{6} - \sqrt{12}$
6. $sqrt{43} \div 1 = \sqrt{43}$
7. $sqrt{4} - \sqrt{11} = -\sqrt{11} + \sqrt{4}$
8. $sqrt{15} - 0 = \sqrt{15}$
9. $sqrt{56} \times 1 = \sqrt{56}$

a. addition property of zero
b. addition property of opposites
c. commutative property of addition
d. subtraction property of zero
e. multiplication property of zero
f. multiplication property of one
g. distributive property of multiplication
h. division property of zero
i. division property of one
match each equation in column i with the corresponding property in column ii.

Explanation:

Matches each equation to the corresponding number property by identifying the rule demonstrated in each expression.

Answer:

1. b. Addition Property of Opposites
2. e. Multiplication Property of Zero
3. a. Addition Property of Zero
4. h. Division Property of Zero
5. g. Distributive Property of Multiplication
6. i. Division Property of One
7. c. Commutative Property of Addition
8. d. Subtraction Property of Zero
9. f. Multiplication Property of One