Pregunta
10. \( 6 \times 0.862 \) juta \( = \) \( 6 \times 0.862 \) million \( = \) A 507200 C 5072000 B 517200 D 5172000 II. \( 6 \frac{4}{5} \) juta \( \div 8= \) \( 6 \frac{4}{5} \) million \( \div 8= \) C 850000 A 8500 D 8500000 B 85000
Ask by Ward Fuentes. in Malaysia
Mar 03,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The answers are:
1. \( 6 \times 0.862 \) juta = **D 5172000**
2. \( 6 \frac{4}{5} \) juta \( \div 8 \) = **C 850000**
Solución
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(6+\frac{4}{5}\right)\times 10^{6}}{8}\)
- step1: Add the numbers:
\(\frac{\frac{34}{5}\times 10^{6}}{8}\)
- step2: Factor the expression:
\(\frac{\frac{34}{5}\times 2^{6}\times 5^{6}}{8}\)
- step3: Reduce the fraction:
\(\frac{34}{5}\times 2^{3}\times 5^{6}\)
- step4: Multiply the numbers:
\(\frac{272}{5}\times 5^{6}\)
- step5: Reduce the numbers:
\(272\times 5^{5}\)
- step6: Evaluate the power:
\(272\times 3125\)
- step7: Multiply:
\(850000\)
Calculate or simplify the expression \( 6 * 0.862 * 10^6 \).
Calculate the value by following steps:
- step0: Calculate:
\(6\times 0.862\times 10^{6}\)
- step1: Multiply the terms:
\(5.172\times 10^{6}\)
- step2: Rewrite the number:
\(5172\times 10^{3}\)
- step3: Evaluate the power:
\(5172\times 1000\)
- step4: Multiply the numbers:
\(5172000\)
Let's solve the problems step by step.
### Problem 1: \( 6 \times 0.862 \) juta
1. **Convert juta to a numerical value**:
- \( 1 \) juta = \( 10^6 \).
- Therefore, \( 6 \times 0.862 \) juta = \( 6 \times 0.862 \times 10^6 \).
2. **Calculate the expression**:
\[
6 \times 0.862 \times 10^6 = 5172000
\]
So, the answer for the first problem is **D 5172000**.
---
### Problem 2: \( 6 \frac{4}{5} \) juta \( \div 8 \)
1. **Convert \( 6 \frac{4}{5} \) to an improper fraction**:
- \( 6 \frac{4}{5} = 6 + \frac{4}{5} = \frac{30}{5} + \frac{4}{5} = \frac{34}{5} \).
2. **Convert to numerical value**:
- \( 6 \frac{4}{5} \) juta = \( \frac{34}{5} \times 10^6 \).
3. **Divide by 8**:
\[
\frac{34}{5} \times 10^6 \div 8 = \frac{34 \times 10^6}{5 \times 8} = \frac{34 \times 10^6}{40} = \frac{34 \times 10^6}{40} = 850000
\]
So, the answer for the second problem is **C 850000**.
### Summary of Answers:
1. \( 6 \times 0.862 \) juta = **D 5172000**
2. \( 6 \frac{4}{5} \) juta \( \div 8 \) = **C 850000**
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
Let's tackle the first expression! When you multiply \( 6 \times 0.862 \) million, you're actually solving for \( 6 \times 862,000 \), which results in a total of 5,172,000. So, the answer is D: 5,172,000! Now moving on to the second expression. To divide \( 6 \frac{4}{5} \) million (or 6.8 million) by 8, you first convert \( 6 \frac{4}{5} \) into a decimal, which is 6.8 million, or 6,800,000. Dividing that by 8 gives you 850,000. Hence, the answer is C: 850,000!
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