Subtracting Rational Numbers by nisha bhatt

Subtracting Rational Numbers

Subtracting Rational Numbers Subtracting Rational Numbers How to Subtract Rational Numbers :- The explanation for subtracting rational numbers are as follows, - The subtraction operations can also be performed using the rational numbers. - The rules used for the subtraction operation are also same as the other arithmetic operation, but the difference is we are using the rational numbers. Steps for subtracting rational numbers: The steps are given as follows, - In the first step, the given rational numbers are taken. - In the next step, the denominators should be checked whether it is having the common term or not. - If the denominators present in the rational numbers are same, then we can subtract terms in the numerator directly. - If the denominators present in the rational numbers are not same, then we have to take common denominator and we have to subtract the terms. Know More About :- Rational Expressions Word Problems

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- Then we can subtract the terms present in the numerator and we have to simplify the obtained solutions.Subtraction are the hardest things you'll be doing with rational expressions because, just like with regular fractions, you'll have to convert to common denominators. Everything you hated about adding fractions, you're going to hate worse with rational expressions. But stick with me; you can get through this! Let us first look at the natural number, we know natural numbers are 1, 2, 3, 4, â&#x20AC;Ś. And it goes on till infinite. Now we also know that all whole numbers and integers are also the part of rational numbers. Now we are aware that all whole numbers and even integers are again uncountable as the whole numbers start from 0 , 1, 2, and goes up to infinite , similarly we have integers which extend from negative infinite to positive infinite. This process of counting is endless. We can check by writing any bigger number and then find its successor by simply adding 1 to it and the find its predecessor by subtracting 1 from it. So we come to a conclusion that rational numbers are uncountable. More over all the fraction numbers and their negatives also belong to the group of rational numbers. Let us take any two numbers say 3 and 5. Now if we simply check that how many numbers exist between two numbers 3 and 5, then we can only see a number 4. But if the question arises how many rational numbers exist between these two numbers, then we will proceed as follows: First we check the numbers between 3 and 4 and get (3 + 4 )/2 = 7/2. Also we proceed to find the rational number between 3 and 7/2 , , we get 3/1 + 7/2 = 6/2 + 7/2 = 13/2 and this search of numbers between two fractions goes again endlessly up to infinite. Thus we conclude again that these rational numbers between two fractions are again infinite. Between two decimal numbers say 1.2 and 1.3, we can again count the numbers 1.21, 1.22, 1.23 , 1.24, 1.25, 1.26, â&#x20AC;Ś. And we will not be able to stop any where it is again infinite.