Show that 107 is of the form 4q+3 for any integer q.

Show that the square of any positive integer of the form 3m or 3m + 1 for some integer n.

Show that any positive odd integer is of the form 4q+1 or 4q+3, where q is some integer.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer.

The square of an odd integer is of the form 4q + r where r is :

Express the following decimal expansion is the form p/q , where p and q are integers and q ne 0 . 0.75

Express the following decimal expansion is the form p/q , where p and q are integers and q ne 0 . 0.28

Express the following decimal expansion is the form p/q , where p and q are integers and q ne 0 . 0.5625

Express the following decimal expansion is the form p/q , where p and q are integers and q ne 0 . 0.625

Use division algorithm to show that any positive odd integer is of the form 6q + 1, or 6q + 3 or 6q + 5, where q is some integer

Express the following in the form p/q wher p and q are integers and q ne 0 (a) 0.bar6 (b) 0.4bar7 (c) 0.bar(001)