1.
Write the following in decimal form and say what kind of decimal expansion each
has:
36
1
(ii)
100
3
1
(iii) 4
8
329
(vi)
400
(iv)
2
13
(V)
11
Answers
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36/100
36/100 = 0.36
Thus, 36/100 in decimal format is represented as 0.36.
This is a terminating decimal number.
ii) 1/11

The remainder 1 keeps repeating. So, 1/11 = 0.0909... and it can be written as 1/11 = 0.09
This is a non-terminating recurring decimal.
iii) 4 1/8
4 1/8 can be expressed as 33/8 in terms of improper fraction.

Thus, 4 1/8 = 33/8 = 4.125
Thus, 4 1/8 in decimal form is written as 4.125.
This is a terminating decimal number because the remainder is zero.
iv) 3/13

Thus, 3/13 = 0.23076923...
We see that the set of numbers 230769 after the decimal point keeps repeating. So, this is a non-terminating recurring decimal.
v) 2/11

Thus, 2/11 = 0.1818
Here, we see that the block of numbers 18 keeps repeating. Hence, this is a non-terminating recurring decimal.
vi) 329/400
329/400 = 329 ÷ (4 × 100) = 0.8225

Now, 82.25/100 = 0.8225
Thus, 329/400 in decimal form is written as 0.8225.
This is a terminating decimal number because the remainder is zero.
Video Solution:
Write the following in decimal form and say what kind of decimal expansion each has: i) 36/100 ii) 1/11 iii) 4 1/8 iv) 3/13 v) 2/11 vi) 329/400
NCERT Solutions Class 9 Maths - Chapter 1 Exercise 1.3 Question 1:
Summary:
We see that in decimal form 36/100, 4 1/8, 329/400 are terminating decimals, whereas 1/11, 3/13, 2/11 are non-terminating recurring decimal.
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