Which of the following statements is true?Every irrational number can be represented as a fraction.Every irrational number can be represented with the help of decimals.Every rational number can be represented as a terminating decimal.Every rational number can be represented as an integer.
Question
Which of the following statements is true?Every irrational number can be represented as a fraction.Every irrational number can be represented with the help of decimals.Every rational number can be represented as a terminating decimal.Every rational number can be represented as an integer.
Solution
The second and third statements are true.
Every irrational number can be represented with the help of decimals. Irrational numbers are numbers that cannot be expressed as a ratio of two integers, but they can be represented as non-terminating, non-repeating decimals.
Every rational number can be represented as a terminating decimal. Rational numbers are numbers that can be expressed as a ratio of two integers. When this ratio is converted to a decimal, it will either terminate (like 0.5 or 0.75) or repeat (like 0.333... or 0.666...).
The first statement is false. Irrational numbers cannot be represented as a fraction because by definition, they cannot be expressed as a ratio of two integers.
The fourth statement is also false. Not every rational number can be represented as an integer. For example, 1/2 is a rational number, but it is not an integer.
Similar Questions
Which statement is TRUE? a. All integers are whole numbers. b. All integers are rational numbers. c. Irrational numbers are not real numbers. d. All rational numbers are integers.
Decimal representation of a rational number cannot be(A) terminating(B) non-terminating(C) non-terminating repeating(D) non-terminating non-repeating
Between two rational numbers(A) there is no rational number(B) there is exactly one rational number(C) there are infinitely many rational numbers(D) there are only rational numbers and no irrational numbers
All the following are true for irrational numbers except ...*1 pointthey have repeating decimalsthey are square root of prime numbersthey have nonterminating decimalsthey are square root of composite numbers without perfert squareOther:
Which of the following is NOT a rational number?
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