Given that 4/9= 0.444 ..... find the decimal form of the following
a) 13/9
b) 0.555 .... + 0.888
Answers
Answered by
1
Answer:
49
Step-by-step explanation:
Explanation:
Given:
0.444
...
Notice what happens if we multiply it by
10
:
10
⋅
0.444
...
=
4.444
...
So if we subtract the original we cancel out the tail...
10
⋅
0.444
...
−
0.444
...
=
4.444
...
−
0.444
...
=
4
Now:
10
⋅
0.444
...
−
0.444
...
=
10
⋅
0.444
...
−
1
⋅
0.444
...
10
⋅
0.444
...
−
0.444
...
=
(
10
−
1
)
⋅
0.444
...
10
⋅
0.444
...
−
0.444
...
=
9
⋅
0.444
...
So:
9
⋅
0.444
...
=
4
Divide both sides by
9
to find:
0.444
...
=
4
9
Answered by
1
Answer:
a)1.44444......
Step-by-step explanation:
hope this helps!!!
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