3. Express the following in the form where p and q are integers and q is not equal to 0 (1) 06 (2)0.47 (3) 0.001
pls Help me
Answers
Answered by
0
Answer: Let x = 0.666…
Multiply by 10 we get
10x = 6.666…
x = 0.666…
subtract them we get
9x = 6 + x
9x = 6
Divide by 9
x=6/9
simplify it by divide 3 we get
x = 2/3 Answer
(ii)
Let x = 0.4777…
Multiply by 10 we get
10x = 4.7777…
x = 0.4777…
subtract x we get
9x = 4.3
Divide by 9
X = 4.3/9
To remove decimal add zero in denominator we get
x = 43/90
(iii)
Let x = 0.001001…
There are 3 repeating digits so multiply by 10*10*10 = 1000
1000x = 1.001001…
X = 0.001001…
subtract x there we get
999 x = 1
Divide by 999 we get
X = 1/999
Step-by-step explanation:
Similar questions