Answer
424.2k+ views
Hint:Rational numbers are the numbers which can be expressed as \[\dfrac{p}{q}\] ratio, where \[p\], \[q\] are integers and \[q \ne 0\]. The opposite of a number is the same distance from 0 as the number itself, but on the other side of 0 on a number line.
Complete step-by-step answer:
We need to first write a rational number.
Also we have to find its opposite in the decimal form.
Let us the take the rational number \[\dfrac{1}{2}\] (It is a rational number because we can expressed it as \[\dfrac{p}{q}\] ratio, where \[p\], \[q\] are integers and \[q \ne 0\]).
The decimal form of this number is \[0.5\] .
It’s opposite in the decimal form is \[ - 0.5\].
In the diagram, \[0.5\] is the opposite of \[ - 0.5\], and \[ - 0.5\] is the opposite of \[0.5\]. The distance from \[0.5\] to \[0\] is \[0.5\], and the distance from\[ - 0.5\] to \[0\] is \[0.5\]; this distance to \[0\] is the same for both \[0.5\] and \[ - 0.5\]. The absolute value of a number is its distance from \[0\] on a number line.
Let us take the rational number \[\dfrac{3}{5}\] , it’s opposite in the fraction form is \[ - \dfrac{3}{5}\].
Note:
Whole numbers: Whole numbers are simply the numbers \[0,\;{\text{ }}1,{\text{ }}2,\,{\text{ }}3,{\text{ }}4,{\text{ }}5,\,{\text{ }}6,\;....\]
Integers: Integers are like whole numbers, but they also include negative numbers but still no fractions allowed.
So integers can be negative {\[ - 1, - 2, - 3, - 4, - 5, - 6,....\]}, positive {\[1,2,3,4,5,6,....\]} or zero {\[0\]}.
Rational number:Rational numbers are the numbers which can be expressed as \[\dfrac{p}{q}\] ratio, where \[p\], \[q\] are integers and \[q \ne 0\].
Complete step-by-step answer:
We need to first write a rational number.
Also we have to find its opposite in the decimal form.
Let us the take the rational number \[\dfrac{1}{2}\] (It is a rational number because we can expressed it as \[\dfrac{p}{q}\] ratio, where \[p\], \[q\] are integers and \[q \ne 0\]).
The decimal form of this number is \[0.5\] .
It’s opposite in the decimal form is \[ - 0.5\].
![seo images](https://www.vedantu.com/question-sets/2e607113-402e-4c4e-9735-93d14c3aec798664452539727906394.png)
In the diagram, \[0.5\] is the opposite of \[ - 0.5\], and \[ - 0.5\] is the opposite of \[0.5\]. The distance from \[0.5\] to \[0\] is \[0.5\], and the distance from\[ - 0.5\] to \[0\] is \[0.5\]; this distance to \[0\] is the same for both \[0.5\] and \[ - 0.5\]. The absolute value of a number is its distance from \[0\] on a number line.
Let us take the rational number \[\dfrac{3}{5}\] , it’s opposite in the fraction form is \[ - \dfrac{3}{5}\].
Note:
Whole numbers: Whole numbers are simply the numbers \[0,\;{\text{ }}1,{\text{ }}2,\,{\text{ }}3,{\text{ }}4,{\text{ }}5,\,{\text{ }}6,\;....\]
![seo images](https://www.vedantu.com/question-sets/30fadf7b-ac24-4329-bd49-bfff2a5770c33129376696205318319.png)
Integers: Integers are like whole numbers, but they also include negative numbers but still no fractions allowed.
![seo images](https://www.vedantu.com/question-sets/6515366f-3378-49f6-90f8-dcf06fe9df197703779614923456611.png)
So integers can be negative {\[ - 1, - 2, - 3, - 4, - 5, - 6,....\]}, positive {\[1,2,3,4,5,6,....\]} or zero {\[0\]}.
Rational number:Rational numbers are the numbers which can be expressed as \[\dfrac{p}{q}\] ratio, where \[p\], \[q\] are integers and \[q \ne 0\].
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