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Decimal numbers that never end but that end up having a repeating pattern are called recurring decimals or repeating decimals.Examples would be 1/3 = 0.33333333...or 452/555 = 0.8144144144144144... (where 144 is the repeating pattern).Reaching that repeating pattern is known as becoming periodic. Only rational numbers will have a repeating pattern. (The repeating pattern may be 00000, as in 4/2 = 2.00000... .)If a decimal number continues forever without having a repeating pattern, then it is a irrational number. One example of a number that continues forever without repeating would be π (pi) which continues infinitely without repeating.Pi is also referred to as a transcendental number.
.833 IS a repeating decimal. This is a rational number as well as it has a repetitive pattern.
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To find the 2001st digit in the repeating decimal for 1/7, we need to understand that 1/7 is a recurring decimal with a repeating pattern of 142857. Since the pattern length is 6 digits, we divide 2001 by 6 to get the remainder, which is 1. Therefore, the 2001st digit in the repeating decimal for 1/7 is the first digit in the repeating pattern, which is 1.
A repeating pattern is the repetition of an identifiable core. The core is the string of elements that repeat, such as ABB.