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AssignmentMultiple Select

Real Numbers

Question 1 • *V* Algebra 2 S1

Choose all true statements.

Answer
A
All real numbers are rational numbers.
B
Some rational numbers are natural numbers.
C
No real numbers are irrational numbers.
D
All whole numbers are integers.
E
Some integers are natural numbers.
F
No rational numbers are integers.

Explanation

Every natural number is rational because it can be written as a fraction with denominator 1, so some rational numbers are natural numbers (B). Whole numbers—0 and the positive counting numbers—are all integers, making D true. Natural numbers are also integers, so some integers are natural numbers (E). The other statements are false: irrational numbers are real, and integers are rational.

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