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Work out the first seven digits after the decimal point when [tex]$0.\dot{5}\dot{0}$[/tex] is written out in full.

[tex]0.\dot{5}\dot{0} = 0.\square\square\square\square\square\square\square\ldots[/tex]

Sagot :

GinnyAnswer
To determine the first seven digits after the decimal point for the repeating decimal [tex]\( 0.\overline{50} \)[/tex], follow these steps:

1. Recognize that [tex]\( 0.\overline{50} \)[/tex] means that the digits "50" repeat indefinitely after the decimal point.

2. Write out the repeating portion to understand the pattern better:
[tex]\[ 0.5050505050... \][/tex]

3. Identify the first seven digits after the decimal point. Starting immediately after the decimal, count the first seven digits:
[tex]\[ 5050505 \][/tex]

Therefore, the first seven digits after the decimal point in [tex]\( 0.\overline{50} \)[/tex] are:
[tex]\[ 5050505 \][/tex]
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