2007-06-05 04:18:27 · 9 answers · asked by hanzini 1 in Science & Mathematics ➔ Mathematics
An inverse. One, divided by your number. (5.... 1/5).
If your number was a fraction, then it's that fraction flipped upside down. (2/3.... 3/2).
2007-06-05 04:21:50 · answer #1 · answered by ? 5 · 0⤊ 0⤋
Reciprocal of x = 1 / x
Examples
reciprocal of 5 = 1 / 5
reciprocal of 1 / 4 = 4
2007-06-05 05:09:07 · answer #2 · answered by Como 7 · 0⤊ 0⤋
The multiplicative inverse.
A x 1 = A, defines 1 as the multiplicative identity.
If A x B = 1, the identity, then B is the inverse of A. Since multiplicative inverses are simply flipping fractions over (2 = 2/1 and its inverse is 1/2, for instance), a special name, reciprocal, is afforded them. The reciprocal of A is 1/A.
Similarly for addition:
A + 0 = A --> 0 is the additive identity
If A + B = 0, the identity, then B is the additive inverse of A. Of course we know that it is just -A.
2007-06-05 04:43:06 · answer #3 · answered by jcsuperstar714 4 · 0⤊ 0⤋
Any number multiplied by its reciprocal gives a product equal to one.
So for a/b the reciprocal is b/a.
For 5 the reciprocal would be 1/5 because 5/1 multiplied by 1/5 = 1
Trick: Convert the number into a fraction (for whole numbers the denominator being 1) and the reciprocal will be the fraction flipped (its inverse).
2007-06-05 04:26:30 · answer #4 · answered by Anonymous · 0⤊ 0⤋
** the selection of fractions by the above contributor and myself is merely coincidental, we were typing at the same time.
A reciprocal is simply a fraction based on another fraction with the numerator and denominator reversed. ie the reciprocal of 2/3 is 3/2.
The reciprocal is most often associated with the number which when multiplied by the number you have gives one. For example
(2/3)*(3/2) = (2*3)/(3*2) = 6/6 =1
Good luck.
2007-06-05 04:23:24 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Know and apply reciprocals is regarded as a supreme ability as far as Vedic computing skill is concerned!
Vedic Mathematics is now regarded as not-scientific and so utility of reciprocals is not known to general public!
As far as answer to your question is concerned reciprocal is always linked to a-unit numerator and denominator is any whole number starting from 2 onwards!
(1/2, 1/3, 1/4, 1/5, 16/ 1/7 1/8 and 1/9 are start group and 1/99, 2/99. 3/99....96/99,97/99 and 98/99 next group and so on reciprocals expands endlessly by linking to sets 0...9, 00,,,99, 000...999 or any higher order!
Similarly another series numbers 1/11, 1/0101, 1/001001, 1/00010001 are also useful reciprocals which need a greater patience to study!
reciprocals have immense utility and a set of these behave in a unique manner!
It appears that a maticulous study of reciprocals ( as a part of more digits computing mentally) has been done by Vedic mathematicians!
three Vedic sutras that relates 1/7, 1/13 and 1/17 specifically indicate a study of numbers like 11, 101, 1001, 10001 so on. Reason is 7*11*13=1001 and 17 *05882353 =100000001
Reciprocal digits usually change positions in a cyclic order! You will find that...
1/7= 143*999=142857
2/7= 286*999= 285714
3/7= 429*999= 428571
4/7= 572*999= 571428
5/7= 715*999= 714285
6/7= 856*999= 857142 (please note cyclic order which helps to memorize all reciprocals!
Similarly you can memorize from 1/17 to 16/17 like
1/17= 05882352 94117647 Memorize start 8 digits and equate 9 to remaining digits like 0588.........9411.......... etc
1/17= 05882352 94117647
2/17= 11764705 88235294
3/17= 17647058 82352941
............................... so on!
There are more practical applications like squaring huge numbers (recurring decimals) and merging complimentary reciprocals like...
1/81- ----> 0123456789, 897654321<---- 81/81 merged is
(111111111)^2 and said merging extract squares of 11^2, 111^2 .... and so on by merging equal digits from either side!
You can extend said unique manner of computing to 222222222^2 by merging 4/81--->.....and .....<----(81-4)/81
You may also extend it for endless digits computing mentally!
More than utility of mental computing it helps us to make use of more digits number application by merging Vedic computing and computer capability!
You may also read an article "3D model of Vedic computing paradox" at
You need many hundred births to effectively grasp, control, and apply reciprocals which will be future hunting ground of people who search computing tricks!
Vedic mathematics ia perfect science and those who learn it systematically will be definite winners!
Answer to your question is "reciprocal awareness and related number programs will rule future Mathematics" and concurrently it will greatly influence human activities!
2007-06-05 06:16:35 · answer #6 · answered by kkr 3 · 0⤊ 0⤋
when the numerator and the denomator in a fraction are "flipped". for example: 2/4, its reciprocal is 4/2.
2007-06-05 04:27:16 · answer #7 · answered by animalover 4 · 0⤊ 0⤋
flipping over the fraction from
examples ::
1/2 to 2/1
it is usually used it divsion of fractions
2007-06-05 04:26:21 · answer #8 · answered by !! ASHLEY ANN !! 2 · 0⤊ 0⤋
Yeah that ^ !
2007-06-05 04:25:46 · answer #9 · answered by Mummy B 3 · 0⤊ 0⤋