Properties of real numbers: Solve the following equation with properties of real number.
1. __+ 7 = 21 -closure property for addition
2. 6(3 + 7) = ____ + ____ - distribute property under addition and subtraction
3. 8 + (____) =0 -Additive inverse property
4. 8 x ___= 8 -multiplicative identity property
5. 2 x_____= 1 -Multiplicative inverse property
6. 4 + 1 =___ + ___ -Commutative property of addition
7. 6 x ___= 0 -Zero property of multiplication
8. (3 + 1) + 7 = ___ + (__+__) - associative property of addition
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Answer:
1. 14+ 7 = 21 -closure property for addition
2. 6(3 + 7) = 18+42- distribute property under addition and subtraction
3. 8 + (-8) =0 -Additive inverse property
4. 8 x 1 = 8 -multiplicative identity property
5. 2 x 1/2= 1 -Multiplicative inverse property
6. 4 + 1 =1+4 -Commutative property of addition
7. 6 x 0 = 0 -Zero property of multiplication
8. (3 + 1) + 7 = 3+ (1+7) - associative property of addition