Question
Convertis Yéchelle verbale en échelle fractionnaire : 1 cm=15 kmunderline ( ) 1 cm=0.5 km underline ( ) 1 cm=1 km underline ( ) 1 cm=500 kmunderline ( )
Solution
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JordynProfessional · Tutor for 6 years
Answer
### $1\text{ cm} = 15\text{ km} \implies \frac{1}{1,500,000}$<br />### $1\text{ cm} = 0.5\text{ km} \implies \frac{1}{50,000}$<br />### $1\text{ cm} = 1\text{ km} \implies \frac{1}{100,000}$<br />### $1\text{ cm} = 500\text{ km} \implies \frac{1}{50,000,000}$
Explain
## Step 1: Converting cm to km<br />### We need to convert the given verbal scales (1 cm = x km) into fractional scales (1/x). Remember that 1 km = 100,000 cm.<br /><br />## Step 2: Calculating the fractional scale for 1 cm = 15 km<br />### Since 1 km = 100,000 cm, then 15 km = 15 * 100,000 cm = 1,500,000 cm. Therefore, the fractional scale is $\frac{1}{1,500,000}$.<br /><br />## Step 3: Calculating the fractional scale for 1 cm = 0.5 km<br />### 0.5 km = 0.5 * 100,000 cm = 50,000 cm. The fractional scale is $\frac{1}{50,000}$.<br /><br />## Step 4: Calculating the fractional scale for 1 cm = 1 km<br />### 1 km = 100,000 cm. The fractional scale is $\frac{1}{100,000}$.<br /><br />## Step 5: Calculating the fractional scale for 1 cm = 500 km<br />### 500 km = 500 * 100,000 cm = 50,000,000 cm. The fractional scale is $\frac{1}{50,000,000}$.
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