Question

1. Which of the following statements is false?

(a) Natural numbers are closed under addition

(b) Whole numbers are closed under addition

(c) Integers are closed under addition

(d) Rational number are not closed under addition.




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Answer 1

Step-by-step explanation:

a. True

b. True

c. True

d. False

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Answer 2

Concept Introduction:-

It may be in the form of a word, a symbol, or a figure that reflects the arithmetic value of a quantity.

Explanation:-

We have been provided a question

We need to choose from the given alternatives the correct option

The correct option is $(d)$ Rational number are not closed under addition.

It is because A natural number is closed under addition and multiplication. This means that adding or multiplying two natural numbers results in a natural number. However, for subtraction and division, natural numbers do not follow the closing property.

Final Answer:-

The correct answer is option  $(d)$ Rational number are not closed under addition.

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