Find the decimal expansions of ` ( 10 )/(3) , (7)/( 8) and ( 1)/(7) `

You know that (1)/(7) = 0.bar ( 142857) . Can you predict what the decimal expansions of (2)/(7) , (3)/(7) ,( 4)/(7),( 5)/(7),( 6)/(7) are, without actually doing the long division? If so , how ?

Find the decimal values of the following: (3)/(10)

Find the 7^(th) term in the expansion of (x+3y)^(8)

Find the middle terms in the expansions of (3 - x^3/6^7)

Find the decimal values of the following: (7)/(6)

Obtain the decimal expansation of the following numbers : ( 5)/(7)

Find the 7^(th) term in the expansion of (3x - (2y)/3)^(10)

Find the rational numbers between (3)/(5) and ( 7)/( 8) .

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal al expansion : (1)13/3125 (2)17/8 (3) 64/455 (4)15/1600 (5) 29/343 (6) (23)/(2^(3)5^(2)) (7) (129)/(2^(2)5^(7)7^(5)) (8) 6/15 (9) 35/50 (10) 77/210

Express (7)/(16),(10)/(7) and (2)/(3) in decimal from.