Chapter 1: Number System

Solution:-

True.

The successor of a whole number is the number obtained by adding 1 to it.

The largest 3-digit number = 999

Then, its successor = 999 + 1

= 1000

Solution:-

True.

As per the rule, Of the given two natural numbers, the one having more digits is greater.

Solution:-

True.

We know that, sum of two natural numbers is always natural number.

Therefore, natural numbers are closed under addition.

Solution:-

False.

We know that, multiplication of two natural numbers is always natural number.

Therefore, natural numbers are closed under multiplication.

Solution:-

False.

Difference of two natural numbers are not always a natural number.

Therefore, natural numbers are not closed under subtraction.

Solution:-

True.

Let us assume ‘a’ and ‘b’ are the two natural numbers.

Then commutative for natural numbers is a + b = b + a.

Consider the two natural numbers 2 and 4.

Where, a = 2, b = 4

a + b = b + a

2 + 4 = 4 + 2

6 = 6

Solution:-

False.

Zero (0) is the identity for addition of whole numbers.

Consider any whole number i.e. 8.

Then, 8 + 0 = 8

Solution:-

True.

Consider any whole number i.e. 6.

6 × 1 = 6

Solution:-

True.

Zero (0) is a whole number which when added to a whole number, gives the number itself.

Solution:-

False.

We know that, ‘0’ is not a natural number.

Therefore, there is no any natural number which when added to a natural number, gives the number itself.