What are Real Rational Numbers What are Real Rational Numbers The numbers which exists as real numbers includes whole number (0,1, 2, 3, etc), natural numbers (1, 2, 3, etc), integers(-1, 0, 1, 2, etc), irrational numbers ( pie, √2, etc), and rational numbers ( 0.33, 1/3, 1.11, etc). Imaginary and infinity are not real numbers. Rational numbers are numbers represented by dividing one number from other number i.e. numerator and denominator. For example: a/b, 1/2, 0.50, etc. Real rational numbers are those numbers which are real and rational both. For example: A number 2 is also a real number as well as fraction. Because 2 can also be written as 2/1. 5/3 is also a real rational number, as it comes in a real number line and also a fraction. 0.75 is also a real rational number, as we can also represent it as 75/100 = 3/4. -sqrt(81) = -9 is also a real rational number and also an integer. Know More About Density Property of Real Number Worksheets

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Example of Rational Numbers Like addition and subtraction we don’t need to equalize the denominator we can multiply them as, numerator of 1st number *denominator of 2nd number/denominator of 1st number *numerator of 2nd In other words we can say dividing the number is just equivalent to multiplying the 1st number with the reciprocal of other. We also need to see one thing the sign convention that’s also plays a very important role in the division we need to know that in multiplication (+) *(+)= + , multiplication of (-) * (-) =+,multiplication of (-)* (+)= - and multiplication of (+) * (-) = - we can also remember these convention as if we have the same sign then the result will always be positive and if signs are negative then result will always be negative ,I think this is the simplest way to remember the sign convention. For addition of these two quantities we just need to equalize the denominator first then we have to add them. We don’t need to do any application with the numerator. For equalizing the denominator we need to follow some specific rules: We have to multiply both the denominator and numerator with the same integer so the value of fraction doesn’t change and we have to multiply the integer in a manner so that the value of both the denominator will be same or for simplification you can multiply the first value by denominator of second and second value with the denominator of first. Now, let’s see how to multiply 3*5/4*5+4*4/5* 4, the denominator of first number is 4 and we have multiply it on both the numerator and denominator. The denominator of second number is 5 and we have multiplied it on both the numerator and denominator. Now, the result will be: 15/20 +16/20, Now it’s very easy we just have to add the numerator denominator remains the same so, required answer will be: 15/20 + 16/20=31/20. Read More About Identity Property of Real Numbers Worksheets

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