Which one of the following is not true?
a) The additive inverse of - 1/3 is 1/3
b) The reciprocal of 3 is -3.
c) The multiplicative inverse of 3 is .
d) The reciprocal of 1 is 1.
2006-11-06 05:42:22 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
b isnot true, reciprocal of 3 should be 1/3
2006-11-06 05:45:49 · answer #1 · answered by SMG 3 · 0⤊ 0⤋
a) TRUE - The additive inverse means a + b = 0. So -1/3 and 1/3 are additive inverses:
b) FALSE - The reciprocal (multiplicative inverse) means a * b = 1. 3 and -3 are *additive* inverses. 3 and 1/3 would be the reciprocals.
c) TRUE - The multiplicative inverse of 3 (is 1/3).
d) TRUE - The reciprocal of 1 is 1 (1 * 1 = 1)
2006-11-06 05:52:18 · answer #2 · answered by Puzzling 7 · 0⤊ 0⤋
the reciprocal of any number, other than zero is written as
1/a where a cannot be zero.
if 3 is your number, its reciprocal is 1/3.. etc..
any number here refers only to integers, or whole numbers other than zero.
irrational numbers do not have reciprocals. because division by an irrational number is not defined.
in other words, you anwer is (b)..
2006-11-06 05:48:09 · answer #3 · answered by JAC 3 · 0⤊ 0⤋
b) is wrong. the inverse of 3 is 1/3.
c) got cut off so I have no way of knowing.
2006-11-06 06:41:40 · answer #4 · answered by yupchagee 7 · 0⤊ 0⤋