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Can an irrational number be a repeating decimal? - Answers
No. Any fraction can be written as a repeating decimal - and vice versa. For example, take the repeating decimal (which I call "x"): x = 0.4123123123... Now multiply that by 1000: 1000x = 412.3123123123... Subtract the first quation from the second, and you get: 999x = 411.9 Solving for x: 9990x = 4119 x = 4119/9990 This is a fraction of whole numbers, therefore, a rational number.
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Can an irrational number be a repeating decimal? - Answers
No. Any fraction can be written as a repeating decimal - and vice versa. For example, take the repeating decimal (which I call "x"): x = 0.4123123123... Now multiply that by 1000: 1000x = 412.3123123123... Subtract the first quation from the second, and you get: 999x = 411.9 Solving for x: 9990x = 4119 x = 4119/9990 This is a fraction of whole numbers, therefore, a rational number.
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Can an irrational number be a repeating decimal? - Answers
No. Any fraction can be written as a repeating decimal - and vice versa. For example, take the repeating decimal (which I call "x"): x = 0.4123123123... Now multiply that by 1000: 1000x = 412.3123123123... Subtract the first quation from the second, and you get: 999x = 411.9 Solving for x: 9990x = 4119 x = 4119/9990 This is a fraction of whole numbers, therefore, a rational number.
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- og:descriptionNo. Any fraction can be written as a repeating decimal - and vice versa. For example, take the repeating decimal (which I call "x"): x = 0.4123123123... Now multiply that by 1000: 1000x = 412.3123123123... Subtract the first quation from the second, and you get: 999x = 411.9 Solving for x: 9990x = 4119 x = 4119/9990 This is a fraction of whole numbers, therefore, a rational number.
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