CBSE Class 6 Mathematics Chapter 2: Whole Numbers NCERT Solutions

To find the next three natural numbers after 10999, we simply add 1 successively.

1. The first number after 10999 is $10,999\; +\; 1\; =\; 11,000$.
2. The second number after 10999 is $11,000\; +\; 1\; =\; 11,001$.
3. The third number after 10999 is $11,001\; +\; 1\; =\; 11,002$.

Therefore, the next three natural numbers after 10999 are 11000, 11001, and 11002.

To find the three whole numbers occurring just before 10001, we subtract 1 successively.

1. The whole number just before 10001 is $10,001\; -\; 1\; =\; 10,000$.
2. The whole number before 10000 is $10,000\; -\; 1\; =\; 9,999$.
3. The whole number before 9999 is $9,999\; -\; 1\; =\; 9,998$.

Thus, the three whole numbers occurring just before 10001 are 10000, 9999, and 9998.

The set of whole numbers includes 0 and all positive integers (1, 2, 3, ...). Comparing all the whole numbers, 0 is the smallest value. Therefore, '0' (zero) is the smallest whole number.

To find the number of whole numbers between two given numbers, we subtract the smaller number from the larger number and then subtract 1 from the result. This is because we are looking for numbers strictly between them, excluding the endpoints.

The calculation is as follows:

$$53\; -\; 32\; -\; 1\; =\; 21\; -\; 1\; =\; 20$$

Alternatively, we can list the numbers: 33, 34, ..., 51, 52. Counting these gives 20 numbers.

Therefore, there are 20 whole numbers between 32 and 53.

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

(a) The successor of 2440701 is $2440701\; +\; 1\; =\; 2440702$.

(b) The successor of 100199 is $100199\; +\; 1\; =\; 100200$.

(c) The successor of 1099999 is $1099999\; +\; 1\; =\; 1100000$.

(d) The successor of 2345670 is $2345670\; +\; 1\; =\; 2345671$.

The predecessor of a whole number is obtained by subtracting 1 from it.

(a) The predecessor of 94 is $94\; -\; 1\; =\; 93$.

(b) The predecessor of 10000 is $10000\; -\; 1\; =\; 9999$.

(c) The predecessor of 208090 is $208090\; -\; 1\; =\; 208089$.

(d) The predecessor of 7654321 is $7654321\; -\; 1\; =\; 7654320$.

On a number line, the number that is smaller appears to the left of the larger number. We use the greater than (>) or less than (<) sign to compare the numbers.

(a) Comparing 530 and 503: We see that $530\; >\; 503$. This means 503 is smaller than 530. Therefore, 503 is on the left of 530 on the number line.

(b) Comparing 370 and 307: We see that $370\; >\; 307$. This means 307 is smaller than 370. Therefore, 307 is on the left of 370 on the number line.

(c) Comparing 98765 and 56789: We see that $98765\; >\; 56789$. This means 56789 is smaller than 98765. Therefore, 56789 is on the left of 98765 on the number line.

(d) Comparing 9830415 and 10023001: We see that . This means 9830415 is smaller than 10023001. Therefore, 9830415 is on the left of 10023001 on the number line.