1. (4)1/2 + 2
2. 30007.413
3. 1
Please help me and tell me why these numbers are rational, irrational, real or complex? Thanks so much!!
2007-10-26 07:26:55 · 7 answers · asked by Hope C 1 in Science & Mathematics ➔ Mathematics
All are rational. And all rational numbers are real numbers.
A rational number is a ratio of integers.
In the 1st example, you multiplying and dividing by integers
In the second example you have a terminating decimal which means you are dividing an integer by some power of 10 (in the example it is 30,007,413/1,000
In the 3rd example 1 is an integer. Any integer can be expressed as a ratio of integers by simply dividing it by 1 like 1/1=1
2007-10-26 07:35:33 · answer #1 · answered by Astral Walker 7 · 0⤊ 0⤋
Any huge form with i in it quite is not genuine (and as a consequence complicated). each and all of the genuine numbers look rational thus, by using fact they don't contain countless numbers of non-repeating decimals. Examples of irrational numbers could contain pi, and the sq. root of two. 4(a million/2) + 2 = 2+2 = 4. 4 is genuine and rational. 6+0i = 6, by using fact the 0 cancels out the i. 6 is genuine and rational. 30007.413 is a quite long huge form alongside with a decimal, notwithstanding it is likewise genuine and rational. There are basically 3 decimal places. it may in fact be expressed as a ratio of two integers: 30007413/one thousand (the two numbers are super, yet they are additionally integers). 3i isn't genuine. as a consequence that's complicated. a million is genuine and rational.
2016-09-27 22:44:30 · answer #2 · answered by woodell 4 · 0⤊ 0⤋
All three are rational, real numbers since each can be written as a fraction and none have complex components.
1. (4)(1/2) + 2 = 4 = 4/1
2. 30007.413 = 30,007,413/1000
3. 1 = 1/1
2007-10-26 07:32:45 · answer #3 · answered by gtmooney14 3 · 0⤊ 0⤋
If a number can be written as a ratio of two integers it is rational. As far as decimals are concerned this means if they terminate or continue indefinitely with a series of repeating digits, they are rational. All of these are rational. If they are rational, they are also real.
2007-10-26 07:34:08 · answer #4 · answered by chasrmck 6 · 0⤊ 0⤋
I would guess that they are all rational and real cuz,
there are no imaginaries
there isn't anything over 0
all the numbers can be multuliplied or divided in one step.
But it's been a while, better see what everyone else says..
2007-10-26 07:31:22 · answer #5 · answered by Nate 6 · 0⤊ 0⤋
They are all real and rational.
They are not complex because they do not have an imaginary component. 3 + 2i would be complex. i = sqrt(-1).
They are rational because they can be expressed as a fraction reduced to its lowest form.
2007-10-26 07:33:39 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
rational, real
irrational, real
rational, real
2007-10-26 07:30:10 · answer #7 · answered by Anonymous · 0⤊ 0⤋