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EXPRESS in km using decimal 6 cm = ?...

EXPRESS in km using decimal 6 cm = ?

A

0.006 km

B

0.0006 km

C

0.000006 km

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To express 6 cm in kilometers using decimals, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the conversion factor**: We know that 1 centimeter (cm) is equal to 0.00001 kilometers (km). This is because: - 1 km = 1000 meters - 1 meter = 100 centimeters - Therefore, 1 km = 1000 * 100 = 100000 centimeters - Hence, 1 cm = 1/100000 km = 0.00001 km. 2. **Set up the conversion**: To convert 6 cm to kilometers, we multiply 6 by the conversion factor (0.00001 km/cm): \[ 6 \text{ cm} = 6 \times 0.00001 \text{ km} \] 3. **Perform the multiplication**: Now, we calculate: \[ 6 \times 0.00001 = 0.00006 \text{ km} \] 4. **Final result**: Therefore, 6 cm expressed in kilometers is: \[ 6 \text{ cm} = 0.00006 \text{ km} \] ### Summary: 6 cm is equal to 0.00006 km.
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