Negative Rational Numbers Negative Rational Numbers Rational numbers are the numbers which can be expressed in form of p/q, where p and q are integers and q <>0. All natural numbers, whole numbers, positive and negative integers with fractions are all sets of rational numbers. We also have some decimal numbers which are repeating and reoccurring and are also called rational numbers. Now we will check "Is Negative Number a Rational Number â&#x20AC;?. For this let us first consider any negative integer say -7. Now we know that -7 can also be written as -7/1. Here we observe that both -7 and 1 are integer numbers, so the number -7/1 is written in the form of p/q, where p and q are integers. Also we see that q <> 0. Thus it satisfies the definition of the rational numbers. So we can say that -7, which is an integer is also a rational number.Now we take another number say 5/-7, here we see that the numerator is a positive number, on another hand the denominator is a negative number. Now on comparing this number with the definition of rational numbers, we see that p = 5 and q = -7. Both p and q are the integers. Thus the number 5/-7 can be expressed in the form of p/q, where p and q are integers and q <> 0. Thus we can say that 5/-7 is also a rational number. We can further see that if we multiply the numerator and the denominator with ( -1 ), then we get Know More About :- Rational Numbers on a Number Line
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= 5 * (-1 ) /(-7) * (-1) = -5 / 7 is the standard form of the given number . Now we take another number say -3/5. Here we have numerator as a negative number and the denominator as a positive number. Now on comparing this number with the definition of rational numbers, we see that p = -3 and q = 5. Both p and q are the integers. Thus the number -3/5 can be expressed in the form of p/q, where p and q are integers and q <> 0. Thus we can say that -3/5 is also a rational number. Now we take another number say -9 /-7, here we see that the numerator (-9) is a negative number, and the denominator (-7) is a negative number. Now on comparing this number with the definition of rational numbers, we see that p = -9 and q = -7. Both p and q are the integers. Thus the number -9 /-7 can be expressed in the form of p/q, where p and q are integers and q <> 0. Thus we can say that -9 /-7 is also a rational number. We can further see that if we multiply the numerator and the denominator with ( -1 ), then we get = (-9) * (-1 ) /(-7) * (-1) = 9/ 7 is the standard form of the given number. More over if we take any decimal number in negative form, say -1.7. We observe that -1.7 can be written as -17/10. Thus if this number is compared with the rational number p/q, then p = -17 and q = 10. Both these numbers are integers and q <> 0, so it is again a rational number.
Read More About :- Division of Whole Numbers
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