Question

17. Match each example with the appropriate property.

1. × + (-×) = 0
2. × + 0 = x
3. × . 1
4. × . 1 = x
A. Mutiplicative identity
B. Mutiplicative inverse
C. Additive identity
D. Additive inverse

Answer 1

1. x+(-x)=0 matches D. Additive inverse (When you add at any number its inverse value, the result is allways 0 - zero- example : 3 + (-3) =3 -3 =0.
2. x+ 0 =x matches C. Additive identity (Zero is a neutral element in any sum, then, if you add zero to any number, the number remains the same, example: 3 + 0 =3)
3. (sorry, I understand that this expression may be not well copied) x. (1/x) = 1 matches B. multiplicative inverse (multiplicative inverse is that number that when multiply with our originalnumber,in this case x will give us the number 1 - example: the multiplicative inverse of 3 is
   `(1)/(3)`, because
   `3(1)/(3)=1`.
4. x . 1 = x matches A. Multiplicative identity (One is the neutral element of multiplication, thenif you multiply any number by 1, it remains the same, example: 3 . 1= 3)