Express 7/13 as a repeating decimal. Mark the repeating digits with a bar.
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(1 point)
7/13 can be expressed as a repeating decimal as follows: 0.538461 with the digits 538461 repeating.
Convert 0.8¯¯¯ to a rational number.(1 point)
Let's call the repeating decimal 0.8¯¯¯ as x.
To convert this to a rational number, we can set up an equation as follows:
10x = 8.8¯¯¯
Subtracting x from both sides:
10x - x = 8.8¯¯¯ - 0.8¯¯¯
9x = 8
Dividing both sides by 9:
x = 8/9
So, 0.8¯¯¯ is equivalent to the rational number 8/9.
To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)
To convert 0.82¯¯¯¯¯ to a rational number, we can set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by 100 to eliminate the repeating decimal.
So, you would multiply both sides by 100.
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Express 7/13 as a repeating decimal. Mark the repeating digits with a bar.
To express 7/13 as a repeating decimal, we can perform long division:
```
0.5384615...
--------------
13| 7.0000000
-6.5
-----
50
-39
----
110
-104
------
60
-52
-----
80
-78
----
20
```
Therefore, 7/13 as a repeating decimal is approximately 0.5384615..., with the digits 538461 repeating.