TRUE OR FALSES
No irrational numbers are integers.
All whole numbers are irrational numbers.
Some whole numbers are not rational numbers.

Some rational numbers are not whole numbers.

Question

07-05-2021
Mathematics

Answered

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TRUE OR FALSES
No irrational numbers are integers.
All whole numbers are irrational numbers.
Some whole numbers are not rational numbers.

Some rational numbers are not whole numbers.

Sagot :

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sqdancefan sqdancefan · Answer 1 · 2021-05-08T14:40:30-04:00

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Answer:

T, F, F, T

Step-by-step explanation:

No irrational numbers are integers.

All integers are rational numbers. By definition, an irrational number is not a rational number. So it must be true that an irrational cannot be an integer.

All whole numbers are irrational numbers.

Every whole number can be expressed as the ratio of two integers, hence is not an irrational number. The offered statement is false.

Some whole numbers are not rational numbers.

Every whole number is rational. The offered statement is false.

Some rational numbers are not whole numbers.

A reduced ratio of two integers with some number other than 1 in the denominator will not be a whole number. For example, 9/8 is not a whole number. The offered statement is true.

Sagot :

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