Pregunta
6. \( 3.16 \div 10 \) \begin{tabular}{l} 7. \( 40.5 \div 25 \) \\ \hline\end{tabular} 8. \( 34.75 \div 1000 \) 9. \( 245.25 \div 50 \)
Ask by Lawson Wyatt. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
6. \(3.16 \div 10 = 0.316\)
7. \(40.5 \div 25 = 1.62\)
8. \(34.75 \div 1000 = 0.03475\)
9. \(245.25 \div 50 = 4.905\)
Solución
**6. Calculate \(3.16 \div 10\)**
Dividing by 10 shifts the decimal point one place to the left:
\[
3.16 \div 10 = 0.316
\]
---
**7. Calculate \(40.5 \div 25\)**
We write the expression as a fraction:
\[
\frac{40.5}{25}
\]
One way to simplify is to eliminate the decimal in the numerator by multiplying both numerator and denominator by 2:
\[
\frac{40.5 \times 2}{25 \times 2} = \frac{81}{50}
\]
Now, dividing:
\[
\frac{81}{50} = 1.62
\]
---
**8. Calculate \(34.75 \div 1000\)**
Dividing by 1000 shifts the decimal point three places to the left:
\[
34.75 \div 1000 = 0.03475
\]
---
**9. Calculate \(245.25 \div 50\)**
We express the division as:
\[
\frac{245.25}{50}
\]
Notice that dividing by 50 is the same as dividing by 100 and then multiplying by 2:
\[
245.25 \div 100 = 2.4525
\]
Then,
\[
2.4525 \times 2 = 4.905
\]
Thus,
\[
245.25 \div 50 = 4.905
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Beyond the Answer
When you divide by 10, you're essentially moving the decimal point one place to the left. So, for \( 3.16 \div 10 \), the result is \( 0.316 \). Easy peasy! Just think if you were cutting a pizza into ten slices instead of just one giant piece! Now, for \( 40.5 \div 25 \), you can simplify it by seeing that 25 goes into 100 four times, so \( 40.5 \) can be scaled up to \( 81 \) by multiplying both numbers by 4, making the division a bit easier. That leads to \( 40.5 \div 25 = 1.62 \). You've just turned a slice of math into a full pizza!

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