What is the decimal expansion of 22/7 ?
How can you tell 22/7 is rational or irrational without finding the decimal expansion?
+23254 22/7 = 3.142857 142857 ... (with the block of digits repeating forever).
This is a rational number; the definition of a rational number is a number that is the quotient of two integers (positive or negative whole numbers) and the denominator cannot be zero. Since both 22 and 7 are whole numbers, 22/7 is a rational number.
When written as a decimal, a rational number either terminates (7/2 = 3.5) or repeats forever (like 22/7).
+23254 22/7 = 3.142857 142857 ... (with the block of digits repeating forever).
This is a rational number; the definition of a rational number is a number that is the quotient of two integers (positive or negative whole numbers) and the denominator cannot be zero. Since both 22 and 7 are whole numbers, 22/7 is a rational number.
When written as a decimal, a rational number either terminates (7/2 = 3.5) or repeats forever (like 22/7).
