Hey there!
Before we get to know an Integer and Rational Number, we have to know the Real Number system first.
1. What is Real Number System?
- Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.
But do you know that the Real Number system can be broken into two categorizes? And what are them?
Real Numbers can be broken into these main two categorizes which are:
- Irrational Number
- Rational Number
These numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!
Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.
2. What is Rational Number?
- Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that <u>a</u><u>p</u><u>p</u><u>r</u><u>o</u><u>x</u><u>i</u><u>m</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>s</u><u> </u><u>a</u><u>r</u><u>e</u><u>n</u><u>'</u><u>t</u><u> </u><u>c</u><u>o</u><u>n</u><u>s</u><u>i</u><u>d</u><u>e</u><u>r</u><u>e</u><u>d</u><u> </u><u>a</u><u>s</u><u> </u><u>r</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>a</u><u>l</u><u> </u><u>n</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u>s</u><u>.</u> Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as <em>I</em><em>r</em><em>r</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em>a</em><em>l</em><em> </em><em>N</em><em>u</em><em>m</em><em>b</em><em>e</em><em>r</em><em>.</em> Also <u>i</u><u>f</u><u> </u><u>i</u><u>n</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>y</u><u>/</u><u>e</u><u>n</u><u>d</u><u>l</u><u>e</u><u>s</u><u>s</u><u> </u><u>d</u><u>e</u><u>c</u><u>i</u><u>m</u><u>a</u><u>l</u><u> </u><u>c</u><u>a</u><u>n</u><u> </u><u>b</u><u>e</u><u> </u><u>w</u><u>r</u><u>i</u><u>t</u><u>t</u><u>e</u><u>n</u><u> </u><u>i</u><u>n</u><u> </u><u>f</u><u>r</u><u>a</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u> </u><u>a</u><u>s</u><u> </u><u>w</u><u>e</u><u>l</u><u>l</u><u>,</u><u> </u><u>t</u><u>h</u><u>e</u><u>y</u><u> </u><u>a</u><u>r</u><u>e</u><u> </u><u>c</u><u>o</u><u>n</u><u>s</u><u>i</u><u>d</u><u>e</u><u>r</u><u>e</u><u>d</u><u> </u><u>a</u><u>s</u><u> </u><u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>a</u><u>l</u><u> </u><u>N</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u> </u><u>t</u><u>o</u><u>o</u><u>!</u>
Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:
- Integers - Whole number or number without fraction or decimal.
- Fractions and Decimals that can be written in fraction form.
And Integers can also be broken into:
- Negative Integers
- Zero
- Positive Integers
3. Conclusion and Answer
- Since Integers are subset of Rational Number, we can conclude that <u>I</u><u>n</u><u>t</u><u>e</u><u>g</u><u>e</u><u>r</u><u>s</u><u> </u><u>a</u><u>r</u><u>e</u><u> </u><u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>a</u><u>l</u><u> </u><u>N</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u>.</u>
Hope this helps, and let me know if you have any doubts regarding Real Number system.