Pregunta
Question Round \( \sqrt{119} \) to two decimal places.
Ask by Lewis Christensen. in the United States
Feb 08,2025
Solución de tutoría real
Respuesta verificada por el tutor
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√119 rounded to two decimal places is approximately 10.91.
Solución
To round √119 to two decimal places, follow these steps:
1. First, compute √119. You can use a calculator to find that √119 ≈ 10.9087.
2. To round to two decimal places, look at the third decimal place (which is 8). Since 8 is 5 or more, you round the second decimal place (0.90) up.
3. Rounding 10.9087 to two decimal places gives 10.91.
So, √119 rounded to two decimal places is approximately 10.91.
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Simplifique esta solución The Deep Dive
The square root of 119 is approximately 10.9087 when calculated accurately. When you round it to two decimal places, it becomes 10.91. Remember to look at the third decimal place (8 in this case); since it's 5 or higher, you round up the second decimal place. If you're ever in need of a quick estimation, a good rule of thumb is to find the perfect squares around your number (in this case, \(10^2 = 100\) and \(11^2 = 121\)). This way, you can guess that \( \sqrt{119} \) will be between 10 and 11, making it easier to refine your calculation!
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