Questions: Which length is the longest? Multiple Choice 12 m 12,000 mm 12,000 μm 12,000 cm 0.0012 km

Which length is the longest?

Multiple Choice
12 m
12,000 mm
12,000 μm
12,000 cm
0.0012 km
Transcript text: Which length is the longest? Multiple Choice 12 m $12,000 \mathrm{~mm}$ $12,000 \mu \mathrm{m}$ $12,000 \mathrm{~cm}$ 0.0012 km
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Solution

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Solution Steps

Step 1: Convert all lengths to the same unit

To compare the lengths, we need to convert all of them to the same unit. Let's convert everything to meters (m).

  1. \( 12 \, \text{m} \) is already in meters.
  2. \( 12,000 \, \text{mm} \): \[ 12,000 \, \text{mm} = 12,000 \times 10^{-3} \, \text{m} = 12 \, \text{m} \]
  3. \( 12,000 \, \mu\text{m} \): \[ 12,000 \, \mu\text{m} = 12,000 \times 10^{-6} \, \text{m} = 0.012 \, \text{m} \]
  4. \( 12,000 \, \text{cm} \): \[ 12,000 \, \text{cm} = 12,000 \times 10^{-2} \, \text{m} = 120 \, \text{m} \]
  5. \( 0.0012 \, \text{km} \): \[ 0.0012 \, \text{km} = 0.0012 \times 10^{3} \, \text{m} = 1.2 \, \text{m} \]
Step 2: Compare the converted lengths

Now that all lengths are converted to meters, we can compare them directly:

  • \( 12 \, \text{m} \)
  • \( 12 \, \text{m} \)
  • \( 0.012 \, \text{m} \)
  • \( 120 \, \text{m} \)
  • \( 1.2 \, \text{m} \)

Final Answer

The longest length is \( 120 \, \text{m} \).

\[ \boxed{12{,}000 \, \text{cm}} \]

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