PSEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.3
PSEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.3
PSEB 9th Class Maths Solutions Chapter 1 Number Systems Ex 1.3
Question 1.
Write the following in decimal form and say
what kind of decimal expansion each has:
(i) 36/100
Answer:
The decimal expansion of 36/100 is terminating.
Question 5.
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17? Perform the division to check your answer.
Answer:
The maximum number of digits in the repeating block of digits in the decimal expansion of 1/17 can be 16(17 – 1).
Question 7.
Write three numbers whose decimal expansions are non-terminating non-recurring.
Answer:
We know that the decimal expansion of an irrational number is non-terminating non recurring. There are infinitely many irrational numbers. We can state few of them as below:
o.o1001000100001 …,
Question 9.
Classify the following numbers as rational or irrational:
(i) √23
Answer:
√23 is an irrational number.
(ii) √225
Answer:
√225 = 15 is a rational number
(iii) 0.3796
Answer:
0.3796 is a rational number.
(iv) 7.478478……..
Answer:
7.478478…… = 7.478 is a rational number.
(v) 1.101001000100001…….
Answer:
1.101001000100001……. is an irrational number.
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