NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers (Ex 2.3) Exercise 2.3
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Maths Chapter 2 Whole numbers:
The numbers like 1,2,3 etc are known as natural numbers. If zero is included with these, they become whole numbers.
So now the whole numbers are natural numbers along with zero.
If you add 1 to a whole number, the solution becomes a successor. Similarly, if you remove 1 from a whole number, you get a predecessor.
Example 16 + 1= 17 is successor
16 - 1= 15 is a predecessor
Earlier in natural numbers that starts from 1, the number 1 had no predecessor, so including zero as the predecessor of 1 we get whole numbers.
Similarly, if you include negative and positive numbers along with zero are known as integers.
Representation of whole numbers on a number line
The numbers are represented on a number line with zero at the start. The distance between numbers zero and 1 is called unit distance.
Order of numbers
The numbers towards the right are greater numbers. Whereas the numbers towards the left are smaller numbers.
8 is towards right and 4 is placed towards left on the number line.
Addition on the number line
For addition of numbers on the number line, we need to move the indicated steps towards right.
Example if we have to add 3 to 7, we shift 3 places towards right from 7.
Subtraction on the number line
Similarly, for subtraction of numbers on the number line, we need to move the indicated steps towards the left.
Example if we have to subtract 3 from 7, we shift 3 places towards left from 7.
Multiplication on the number line
Now for multiplication we need to move the same number of steps, for the indicated number of times starting from zero.
Example 4 ☓ 3
Starting from zero we shift 3 units at the same time 4 times. Now we will reach 12.
This is how multiplication can be done on the number line.
Exercise 2.1 has questions based on the above explanation. For the solutions, refer to our pdf for Whole numbers.
Properties of whole numbers
While numbers are closed under addition as well as under multiplication.
That is the product of addition or multiplication of a whole number is also a whole number.
In other words, there is a commutative property.
Patterns in whole numbers
The numbers can be arranged in a particular sequence that forms a square or rectangular shape.
Exercise 2.2 deals with such questions. Solutions to these questions are available in our NCERT solutions for Class 6.
The role of zero
Zero when added to any whole numbers, the result is the same number.
Similarly, zero when multiplied by any number results in zero. This is the special property of zero.
Exercise 2.3 is based on the properties discussed above. The solutions of all the 5 questions inscribed in the NCERT textbook of Class 6 can be available in our pdf solutions.
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