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Which of the following statements is NOT true? A. All whole numbers are integers. B. All natural numbers are whole numbers. **
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Question

Which of the following statements is NOT true?

A. All whole numbers are integers.

B. All natural numbers are whole numbers.

C. All integers are whole numbers.

D All fractions of form , where p and q are integers and q 0, are rational numbers.

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Mathematics
6 months
2021-07-26T13:17:11+00:00
2021-07-26T13:17:11+00:00 2 Answers
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## Answers ( )

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⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

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A. All whole numbers are integers.

➺ Whole numbers include numbers from 0 to above. Integers include all numbers (negative & positive ones). Hence, all whole numbers are integers.

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B. All natural numbers are whole numbers.

➺ As said above, whole numbers include numbers from 0 to above. Natural numbers on the other hand include numbers from +1 to above (right side of the number line). So, all natural numbers come under whole numbers.

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C. All integers are whole numbers.

➺ Integers include both negative & positive numbers while whole numbers only include numbers from 0 to above (right side of the number line). Since, negative numbers don’t come under whole numbers, integers can’t be categorised as whole numbers. •°• All integers are not whole numbers…..but all whole numbers are integers.

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D. All fractions of form , where p and q are integers and q 0, are rational numbers.

➺ This is the definition of rational numbers. All fractions are under rational numbers, so this definition stands true for fractions as well.

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⟹ So, the statement which doesn’t match or is NOT true will be ➳

C. All integers are whole numbers.⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

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ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐Answer:## C)All integers are whole numbers.

Step-by-step explanation:## A)

wholenumbersare the numbers 0 to +∞ (not including fraction, numbers i.e 6.89 etc)integersare the numbers -∞ to +∞ (not including fraction, decimal numbers i.e -5.57, 7.74 etc)since integers are the numbers including whole numbers thus the statement is true

## B)

Naturalhence, the statement is true

## C)

All

Wholenumbersare integers butall integers are whole numbersnottherefore, the statement is

nottrue## D)

the given definition is the perfect definition of

rationalnumbershence, the statement is true