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A Trick come Remembering where Zero can Go in A Fraction
An basic trick ns learned (if ns remember correctly) from a student once I teach at a community college is that it is O/K for 0 to it is in the numerator, however it’s a N/O because that 0 to it is in the denominator.
So it can be the numerator/top the the portion as that’s OK. However, 0 deserve to NOT be the denominator/bottom as it’s a NO NO!
How to advice a portion Where Zero is the numerator or the Denominator
What’s the distinction in how we advice a portion if 0 is the numerator versus as soon as it is the denominator? as soon as 0 is the numerator and also NOT the denominator, the fraction is equal to ZERO. If however, 0 is the denominator, mathematicians call that portion UNDEFINED (it’s no a number).
So because that example, 0/2= 0, 0/-10 = 10, 0/100 = 0, 0/1 = 0.
However, 2/0 is undefined. -10/0 is undefined. 100/0 is undefined. 1/0 is undefined.
What is Zero separated by Zero same to?
0/0 is also called unknown by mathematicians. Anytime that 0 is the denominator that a fraction, the portion is called undefined.
How will certainly this be crucial in Algebra?
Remembering that 0 deserve to not it is in the denominator will be vital in Algebra. For example, once asked to graph the reciprocal function y = 1/x, we must remember the x deserve to not it is in zero because we have the right to NOT division by zero. So as you will find out in Algebra, the domain (the domain is the input values of the duty that develop a actual number output….don’t issue you can learn this later on in Algebra)….so the domain below is all the real numbers other than for 0.
If provided a sport of the reciprocal role ( a transformation) such as y = 1/(x-2), again, we have to remember, that the denominator x-2 deserve to NOT be zero. The only real number that will make x-2 zero is 2. So here the domain is all genuine numbers except for 2.
Use the basic trick OK and NO come remember the zero deserve to be the numerator but NOT the denominator of a fraction.
Was this trick beneficial for you? Comment below if it to be or if you have any other valuable math tricks. Stick around for much more helpful math tips!
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