Pregunta
Write \( \frac{5}{18} \) as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Ask by Burgess Bradley. in the United States
Feb 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( \frac{5}{18} \) as a decimal is \( 0.\overline{27} \).
Solución
To convert 5/18 to a decimal, divide 5 by 18:
• 18 goes into 5 zero times, so write down 0.
• Put a decimal point and bring down a 0 (making it 50).
• 18 goes into 50 two times (2 × 18 = 36) with a remainder of 50 − 36 = 14.
• Bring down another 0 (making it 140). 18 goes into 140 seven times (7 × 18 = 126) with a remainder of 140 − 126 = 14.
• Since the remainder 14 is repeating, the digit 7 will repeat indefinitely.
Thus, the decimal representation of 5/18 is 0.2̅7, where the bar indicates that the digit 7 repeats.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To convert \( \frac{5}{18} \) to a decimal, you can perform the division of 5 by 18. When you do the division, you find that \( 5 \div 18 \) equals approximately 0.2777..., where the digit 7 repeats indefinitely. Thus, in decimal form, \( \frac{5}{18} \) can be written as \( 0.2\overline{7} \).
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