Natural numbers are not closed under multiplication.

True

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False

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Solution

The correct option is B False
Product of $2$ and $3$ = $2 \times 3$ = $6$
As $2$ and $3$ are natural numbers and their product is also a natural number. So Natural numbers are closed under multiplication.

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In the following question, state whether the given statement is true (T) or false (F).

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Rational numbers are closed under addition and multiplication but not under subtraction.

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Question 4
Which of the following is not true?
(a) rational numbers are closed under addition.
(b) rational numbers are closed under subtraction.
(c) rational numbers are closed under multiplication.
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The numerical expression $\frac{3}{8} + \frac{(- 5)}{7} = \frac{- 19}{56}$ shows that:
(a) rational numbers are closed under addition.
(b) rational numbers are not closed under addition.
(c) rational numbers are closed under multiplication.
(d) addition of rational numbers is not commutative.

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Natural numbers are not closed under multiplication.

The correct option is B False Product of 2 and 3 = 2×3 = 6As 2 and 3 are natural numbers and their product is also a natural number. So Natural numbers are closed under multiplication.

The correct option is B False
Product of $2$ and $3$ = $2 \times 3$ = $6$
As $2$ and $3$ are natural numbers and their product is also a natural number. So Natural numbers are closed under multiplication.