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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

Some rational numbers are natural numbers: for example, 1 is both rational and natural, so B is true. Every whole number is an integer, so D is true; also, 1 is an integer and a natural number, so E is true. A is false because numbers such as √2 are real but irrational, while C and F are false because irrational numbers are real and some rational numbers, such as 2, are integers.

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