Rational Numbers on a Number LIne Rational Numbers on a Number LIne A number line is graphical representation of numbers from negative infinity to positive infinity in a single line. Rational numbers can be expressed in fraction (a/b) form, where 'b' is not equal to zero and when we put these rational numbers on a number line, then this representation is known as rational numbers on number line. For instance, you can easily represent -7/2, -5/4, etc on a number line All the rational number can be represented on number line, it is an image of straight line and it has a range from negative (-ve) infinity to Positive (+ve) infinity. Know More About Inverse Function Rule Worksheet
On number line generally the point indicated as integer but we can simply convert them in to the rational numbers by just dividing the space between integer. With the help of number line we can find the position of any rational number in number line. Number line can be represented as: Now, we can see that in above number line all the values at right side are positive values and values at left side are negative values. Example: find the position of 2/7 on number line? 2/7 is a positive value so it will be in the right side of 0 , for simpler calculation we need to convert it to decimals then it becomes easier to find the position of the given number. 2/7 can be written in decimals as '0.285' now, we need to find the position of 0.285. '0.285' is bigger than zero and less than one. To find exact value we will divide the portion between 0 and 1 then we will get the exact position of 0.5. After finding the position of 0.5 we just need to divide it again in to half to get the exact position of 0.250 as we are 0.250 is very close to 0.285 so we can
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conclude that 0.285 is near to number line as 0.285 is bigger than 0.250 so it will be in the right side of the number line in this way we can get the position of any rational number. For representing rational and irrational numbers in mathematics, we use number line. A number line is graphical representation of numbers from negative infinity to positive infinity in a single line. For drawing number line we use following stepsâ€“ Step1. First of all we draw a horizontal straight line because in generally all number lines are represented as a horizontal line. Step 2: Number line represents negative infinity to positive infinity, so we draw directions at both side of horizontal line. Step 3: From negative infinity to positive infinity, we represent 0 as an origin point because 0 is a mid point. Step 4: After this we write all positive values on the right side of 0 and all negative sides on the left side of 0.