Pregunta
Find (1) If \( 31 \times 25=775 \), then \( 0.31 \times 2.5=\ldots \ldots \) (2) Fifth of \( 15=\ldots \ldots \ldots . \).
Ask by Lowe Klein. in Egypt
Mar 08,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
1. \(0.31 \times 2.5 = 0.775\)
2. خامس 15 = 3
Solución
1. لإيجاد \(0.31 \times 2.5\):
- نعلم أنه \(31 \times 25 = 775\).
- إذن يمكن اعتبار \(0.31 = \frac{31}{100}\) و\(2.5 = \frac{25}{10}\).
- بالتالي:
\[
0.31 \times 2.5 = \frac{31}{100} \times \frac{25}{10} = \frac{31 \times 25}{1000} = \frac{775}{1000} = 0.775
\]
2. لحساب "خامس \(15\)":
- يعني ذلك إجراء القسمة:
\[
\frac{15}{5} = 3
\]
الإجابات:
1. \(0.31 \times 2.5=0.775\)
2. خامس \(15=3\)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To start, since \( 31 \times 25 = 775 \), you can shift the decimal points to find \( 0.31 \times 2.5 \). Notice that if you multiply \( 0.31 \) by \( 2.5 \), you are effectively scaling down \( 31 \times 25 \) by a factor of \( 10 \) for each decimal point movement. So, \( 0.31 \times 2.5 = \frac{775}{100} = 7.75 \). Next up, what is a fifth of \( 15 \)? To find this, simply divide \( 15 \) by \( 5 \). So, \( \frac{15}{5} = 3 \). Therefore, a fifth of \( 15 \) is \( 3 \).

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