write the following decimal form and say what kind of decimal expansion each has: 36/100,1/11, 4 and 1/8,3/13,2/11,329/400 . Answer with statement and explation . Justify your answer is correct . Correct will be mark as brain list .
Answers
Answer:
Solution:
i) 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
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.
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
Answer: