| 1. |
Find six rational numbers between1 and O. |
|
Answer» Rational numbers between 2 numbers a and b is ( a + b) / 2. Rational numbers between 2 numbers -1 and 0 is = ( -1 + 0) / 2 = -1/ 2 Rational numbers between 2 numbers -1 and -1/ 2 is = (-1 + (-1/ 2)) / 2 = -3 / 4 Rational numbers between 2 numbers -1/ 2 and 0 is = (-1/ 2 + -3 / 4) / 2 = -5 / 8. Rational numbers between 2 numbers -1 and -3 / 4 = ( - 1 + ( -3 / 4) ) / 2 = -7 / 8 Rational numbers between 2 numbers -3 / 4 and -7/8. = ( -3/ 4 + ( -7 / 8) ) / 2 = -13 / 16 Rational numbers between 2 numbers -1 and -13/16 = ( -1 + ( -13/16) ) / 2 = -29/32 Therefore, Six rational numbers between -1 and 0 are -1/2 , -3/4 , -1/4, -5 /8 , -7/8 , -13/16, - 29/32 |
|