Please solve question no 3 all question
Answers
Hey mate ur answer
Let x=0.6666 equation one
10x=0.6666×10
=6.6666 equation two
By subtracting equation 2 and 1 we get ,
10x--x=6.6666-0.6666
9x=6
x=6/9
x=2/3
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Hope it helps u
Answer:
Step-by-step explanation:
(1) let 0.6=0.6666.......... ....(1)
multiplying equation (1) with 10
10x=10 x(0.666...)
10x=6.666...... .....(2)
subtracting (2) from (1) i.e.(2)-(1)
10x-x=6.6666.....-0.6666....
9x=6
x=6/9
x=2/3
Thus,0.6 = 2/3
(2)let 0.47=0.47777.... ........(1)
multiplying equation (1) with 10
10x=10 x(0.47777...)
10x=4.7777.......... .....(2)
subtracting (2) from (1) i.e.(2)-(1)
10x-x=4.7777....-0.4777.....
9x=4.3000
x=4.3/9
x=43/90
Thus,0.47=43/90
(3)let 0.001=0.001001....... ........(1)
multiplying equation (1) with 1000
1000x=1000 x(0.001001...)
1000x=1.001001........ .....(2)
subtracting (2) from (1) i.e.(2)-(1)
1000x-x=1.001001....-0.001001....
999x=1
x=1/999
Thus,0.001=1/999