Natural numbers are closed under addition.

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
The given statement is true.
natural numbers are closed under addition means when any two numbers are added, answer must belong to natural number.
$∵$ Sum of any two natural numbers is always a natural number.
example $7 + 15 = 22$ which is natural number.
So, they are closed under addition.

Suggest Corrections

Similar questions

Q. Question 77
Rational numbers are closed under addition and multiplication but not under subtraction.

You have seen earlier that the set of all natural numbers is closed under addition (closure property). Is this an axiom or something you can prove?

Question 5
$- \frac{3}{8} + \frac{1}{7} = \frac{1}{7} + (\frac{- 3}{8})$ is an example to show that
(a) addition of rational numbers is commutative.
(b) rational numbers are closed under addition.
(c) addition of rational number is associative.
(d) rational numbers are distributive under addition

Question 63
In the following question, state whether the given statement is true (T) or false (F).
Natural numbers are closed under addition.

Question 3
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.

Join BYJU'S Learning Program