Which of the following are real numbers? Multi-select Choices: (A)10 (B)9/10 (C)1.444... (D)sqrt 3

Real Numbers Definition: Real numbers include all the numbers on the number line, including all rational and irrational numbers. Rational numbers are those that can be expressed as a fraction of two integers, and irrational numbers cannot be expressed as a simple fraction.10 as a Real Number: (A) 10 is a whole number, which is also a rational number because it can be expressed as a fraction (10/1). Therefore, it is a real number.9/10 as a Real Number: (B) 9/10 is a fraction, which is a rational number. All rational numbers are real numbers.1.444... as a Real Number: (C) 1.444... (where the dots indicate that the number is repeating) is a repeating decimal, which is also a rational number. Therefore, it is a real number.sqrt(3) as an Irrational Real Number: (D) sqrt(3) or the square root of 3 is an irrational number because it cannot be expressed as a simple fraction. However, irrational numbers are also real numbers.

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Which of the following are real numbers? $\newline$ Multi-select Choices: $\newline$ (A) $10$ $\newline$ (B) $\frac{9}{10}$ $\newline$ (C) $1.444\ldots$ $\newline$ (D) $\sqrt{3}$

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Grade 8

Write variable expressions for arithmetic sequences

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Q. Which of the following are real numbers?

\newline

Multi-select Choices:

\newline

(A)

10

\newline

(B)

\frac{9}{10}

\newline

(C)

1.444\ldots

\newline

(D)

\sqrt{3}

Real Numbers Definition: Real numbers include all the numbers on the number line, including all rational and irrational numbers. Rational numbers are those that can be expressed as a fraction of two integers, $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ , and irrational numbers cannot be expressed as a simple fraction.
$10$ as a Real Number: (A) $10$ is a whole number, which is also a rational number because it can be expressed as a fraction ( $\frac{10}{1}$ ). Therefore, it is a real number.
ext{ $9$ / $10$ as a Real Number:} (B) $\frac{9}{10}$ is a fraction, which is a rational number. All rational numbers are real numbers.
$1$ . $444$ ... as a Real Number: (C) $1.444\ldots$ (where the dots indicate that the number is repeating) is a repeating decimal, which is also a rational number. Therefore, it is a real number.
$\sqrt{3}$ as an Irrational Real Number: (D) $\sqrt{3}$ or the square root of $3$ is an irrational number because it cannot be expressed as a simple fraction. However, irrational numbers are also real numbers.