Students can go through AP 6th Class Maths Notes Chapter 2 Whole Numbers to understand and remember the concepts easily.
Class 6 Maths Chapter 2 Notes Whole Numbers
→ Introduction :
The set of natural numbers is expressed in the form of N = {1,2, 3, 4, ………..}.
If we add T to any natural number, we get the next natural number.
The next number of any natural number is called its successor and the number just before a number is called its predecessor.
For example, the successor of 15 is 16 and the predecessor is 14.
The number T has no predecessor in natural numbers.
→ Whole Numbers : We include zero to the collection of natural numbers. The natural numbers along with the zero form the collection of whole numbers.
Whole numbers are represented like as follows.
W= {0,1, 2, 3, 4, ………..}
The smallest whole number is ‘0’.
→ Representation of Whole Numbers on Number line: The number line for whole numbers is
On the number line the successor of any number will lie to the right of that number.
Note:
- Whenever we add two numbers we move on the number line towards right starting from any of them.
- We move towards left in case of subtraction.
→ Every natural number has a successor. Every natural number except 1 has a predecessor.
→ If we add the number zero to the collection of natural numbers, we get the collection of whole numbers. Thus, the numbers 0,1,2, 3,….. form the collection of whole numbers.
→ Every whole number has a successor. Every whole number except zero has a predecessor.
→ All natural numbers are-whole numbers, but all whole numbers are not natural numbers.
→ We take a line, mark a point on it and label it 0. We then mark out points to the right of 0, at equal intervals. Label them as 1, 2, 3, …… Thus, we have a number line with the whole numbers represented on it. We can easily perform the number operations of addition, subtraction and multiplication on the number line.
→ Addition corresponds to moving to the right on the number line, whereas subtraction corresponds to moving to the left. Multiplication corresponds to making jumps of equal distance starting from zero.