 Hello and welcome to the session. In this session, we will learn to position integers and rational numbers on a number line. First of all, let us position integers on a horizontal number line and here we have drawn a horizontal number line where on the right side of zero, we will write the positive integers and on the left side of zero, we will write the negative integers. Also, we will use the integers at equal distances on the number line. Now suppose we have to represent the marks obtained by a student on this number line. Now suppose in an objective examination for every correct answer, the student gets four marks. Now getting four marks means positive number four. Now let us plot plus four on a number line. Now we know that on the right side of zero, we have positive integers. So for plotting plus four on a number line, we will remove four units to the right of zero and we will reach at this point which represents plus four on a number line. And in this examination, for every one answer, one mark is deducted. Now deduction of one mark means negative number one. Now let us plot minus one on the number line. Now we know that on the left side of zero, we have negative integers. So for plotting minus one on this number line, we will move one unit to the left side of zero and reach at this point which represents minus one on the number line. So for here you can see that whenever we have to plot positive integers on the number line, then in that case, we will move to the right side of zero and whenever we have to plot negative integers on the number line, then in that case, we will move to the left side of zero. We can plot the integers on a vertical number line. Now on a vertical number line, we take zero at the center and the numbers above zero are positive and the numbers below zero, so we will place the integers at equal distances. Now let us plot minus three and four on this vertical number line. Now minus three is a negative integer which means we have to move and we will reach at this point and this is the point minus three on this vertical number line. Now we have to plot four on this vertical number line. Now four is a positive integer which means we will move four here by zero and we will reach at this point and this is the point which represents four on this vertical number line. Now in this number line that is the vertical number line, we have taken the scale of one that is the difference between two integers is one also in this horizontal number line, we have taken the scale of one. Now suppose we have to plot larger values like minus fifteen and twenty on the number line. So in this case, we can take the scale of five so that we can take the points zero five ten fifteen and so on. At the side of zero, we can take the points as minus five minus ten minus fifteen and so on. Now here easily we can plot the numbers minus fifteen and twenty on this horizontal number line. Now suppose we have to plot the numbers two fifty and minus hundred on the number line. Then in this case we can take this and here easily we can plot the numbers and minus hundred on this number line. And now let us learn to position the rational numbers on a number line. Rational numbers are the numbers which can be written as simple fractions to position fractions on a number line. Start one by three on a number line and one by three means one third part and when we divide one by three then this will be equal to zero point three three three and so on which is equal to zero point three one decimal place. Now zero point three lies between zero and one. Now as one by three means one third part between zero and one in three one by three two by three two by three now three by three is equal to number we can easily plot the fraction one by three on the number line. We have to plot a mixed fraction one and one by two on the number line. Now this mixed fraction is equal to three by two which is equal to one and one by two lies between one and here we can plot the mixed fraction one and one by two in between one and two on the number line. Similarly the mixed fraction four by five is equal to minus three by five which lies between minus three and minus four. So in this way we can plot the mixed fraction minus three and four by five in between minus three and minus four on the number line. Finally we can plot the other mixed fractions also. We have learnt to position rational numbers and integers on a number line and this completes our session. Hope you all have enjoyed the session.