[Solved] Is 1875 a rational number? (2024)

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[Solved] Is 1875 a rational number? ›

1875 is a rational number because it can be expressed as the quotient of two integers: 1875 ÷ 1. Related links: Is 1875 a composite number?

Final answer: The number 0.1875 is a rational number because it can be expressed as a fraction with integers, specifically 1875/10000 or 3/16.

Expert-Verified Answer

0.875 is a rational number because it can be expressed as the fraction 7/8. Unlike irrational numbers, rational numbers can be expressed as a simple fraction, and their decimal expansion either terminates or repeats.

The actual value of √420 is undetermined. The value of √420 up to 25 decimal places is 20.49390153191919676644208. Hence, the square root of 420 is an irrational number.

Since the 0.5 can be expressed (written as) as the fraction 1/2, 0.5 is a rational number. That 0.5 is also called a terminating decimal.

1) 1.89 and 16/9 are both rational numbers (1.89 may be written as 189/100) However, while 1.89 is defined in 2 decimals, 16/9 is what is called a recurring decimal (1.77777777.......).

A repeating decimal is a decimal that does not terminate but keeps repeating the same pattern. For example, 0.123123123. . . is a repeating decimal; the “123” will repeat endlessly. Any repeating decimal is equal to a rational number. For example, 0.123123. . . is equal to 123/999, or 41/333.