Chapter no.1 Number System ( Exercise 1.5 )
Today we are going to learn the Operation on Real numbers from chapter 1 of your Mathematics textbook.
If we add , subtract, multiply or divide two rational numbers, we get a rational number i.e. rational numbers are 'Closed' with respect to addition, subtraction, Multiplication and division.
Now let us look what happens when we add and multiply a rational number with an irrational number.
1) The sum and difference of a rational number and an irrational number is irrational.
e.g 7 + root 11 , 3 - root 7 etc.
2) The Product or quotient of a non-zero rational number with an irrational number is irrational .
e.g. 2 root 2 , 1 / root 5 etc.
Now observe the examples
Today we are going to learn the Operation on Real numbers from chapter 1 of your Mathematics textbook.
If we add , subtract, multiply or divide two rational numbers, we get a rational number i.e. rational numbers are 'Closed' with respect to addition, subtraction, Multiplication and division.
Now let us look what happens when we add and multiply a rational number with an irrational number.
1) The sum and difference of a rational number and an irrational number is irrational.
e.g 7 + root 11 , 3 - root 7 etc.
2) The Product or quotient of a non-zero rational number with an irrational number is irrational .
e.g. 2 root 2 , 1 / root 5 etc.
Now observe the examples
Exercise 1.5
The video of solutions of Exercise 1.5 are available in following link
Q.2
Solve Exercise 1.5 ( Q.1 , Q.2 ,Q.3 and Q.5) and also Assignment.
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