represent the rational number 8 by 7 on number line
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Sol: Any rational number can be represented on a number line. In a rational number, the denominator tells the number of equal parts into which the first unit has been divided. The numerator tells the number of these parts to be considered. So, a rational number -3/7 means three of seven equal parts on the left of 0. We make 7 markings on the left of zero and starting from 0. The third marking is -3/7. Similarly for 8/7, we make 8 markings of distance 1/7. The eighth marking to the right of zero is 8/7. Decimals with three decimal places can be represented on the number line by successive magnification between the corresponding integers.
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