name: ______ hou metric prefixes and prec part a: metric prefixes conversion convert the following measurements into th 1. 1.2500 m → km ______ 2. 2.0.0045 km → m ______ 3. 3. 4.5 × 10⁶ μm → m ______ 4. 4. 0.009 s → ms ______ 5. 5. 12,000 m → km ______

Question

Accepted Answer

### Problem 1: $ 2500 \, \text{m} \to \text{km} $
# Explanation:
## Step1: Recall the conversion factor: $ 1 \, \text{km} = 1000 \, \text{m} $, so to convert meters to kilometers, divide by 1000 (or multiply by $ 10^{-3} $).
$ 2500 \, \text{m} \times \frac{1 \, \text{km}}{1000 \, \text{m}} $
## Step2: Perform the calculation: $ 2500 \div 1000 = 2.5 $
$ 2500 \times 10^{-3} = 2.5 $
# Answer: $ 2.5 \, \text{km} $

### Problem 2: $ 0.0045 \, \text{km} \to \text{m} $
# Explanation:
## Step1: Recall the conversion factor: $ 1 \, \text{km} = 1000 \, \text{m} $, so to convert kilometers to meters, multiply by 1000 (or multiply by $ 10^{3} $).
$ 0.0045 \, \text{km} \times \frac{1000 \, \text{m}}{1 \, \text{km}} $
## Step2: Perform the calculation: $ 0.0045 \times 1000 = 4.5 $
$ 0.0045 \times 10^{3} = 4.5 $
# Answer: $ 4.5 \, \text{m} $

### Problem 3: $ 4.5 \times 10^{6} \, \mu\text{m} \to \text{m} $
# Explanation:
## Step1: Recall the conversion factor: $ 1 \, \text{m} = 10^{6} \, \mu\text{m} $ (since $ 1 \, \mu\text{m} = 10^{-6} \, \text{m} $), so to convert micrometers to meters, multiply by $ 10^{-6} $ (or divide by $ 10^{6} $).
$ 4.5 \times 10^{6} \, \mu\text{m} \times \frac{1 \, \text{m}}{10^{6} \, \mu\text{m}} $
## Step2: Perform the calculation: The $ 10^{6} $ in the numerator and denominator cancels out, leaving $ 4.5 \times 1 = 4.5 $
$ 4.5 \times 10^{6} \times 10^{-6} = 4.5 $
# Answer: $ 4.5 \, \text{m} $

### Problem 4: $ 0.009 \, \text{s} \to \text{ms} $
# Explanation:
## Step1: Recall the conversion factor: $ 1 \, \text{s} = 1000 \, \text{ms} $ (since $ 1 \, \text{ms} = 10^{-3} \, \text{s} $), so to convert seconds to milliseconds, multiply by 1000 (or multiply by $ 10^{3} $).
$ 0.009 \, \text{s} \times \frac{1000 \, \text{ms}}{1 \, \text{s}} $
## Step2: Perform the calculation: $ 0.009 \times 1000 = 9 $
$ 0.009 \times 10^{3} = 9 $
# Answer: $ 9 \, \text{ms} $

### Problem 5: $ 12,000 \, \text{m} \to \text{km} $
# Explanation:
## Step1: Recall the conversion factor: $ 1 \, \text{km} = 1000 \, \text{m} $, so to convert meters to kilometers, divide by 1000 (or multiply by $ 10^{-3} $).
$ 12000 \, \text{m} \times \frac{1 \, \text{km}}{1000 \, \text{m}} $
## Step2: Perform the calculation: $ 12000 \div 1000 = 12 $
$ 12000 \times 10^{-3} = 12 $
# Answer: $ 12 \, \text{km} $

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QUESTION IMAGE

Question

Explanation:

Problem 1: \( 2500 \, \text{m} \to \text{km} \)

Step1: Recall the conversion factor: \( 1 \, \text{km} = 1000 \, \text{m} \), so to convert meters to kilometers, divide by 1000 (or multiply by \( 10^{-3} \)).

Step2: Perform the calculation: \( 2500 \div 1000 = 2.5 \)

Step1: Recall the conversion factor: \( 1 \, \text{km} = 1000 \, \text{m} \), so to convert kilometers to meters, multiply by 1000 (or multiply by \( 10^{3} \)).

Step2: Perform the calculation: \( 0.0045 \times 1000 = 4.5 \)

Step1: Recall the conversion factor: \( 1 \, \text{m} = 10^{6} \, \mu\text{m} \) (since \( 1 \, \mu\text{m} = 10^{-6} \, \text{m} \)), so to convert micrometers to meters, multiply by \( 10^{-6} \) (or divide by \( 10^{6} \)).

Step2: Perform the calculation: The \( 10^{6} \) in the numerator and denominator cancels out, leaving \( 4.5 \times 1 = 4.5 \)

Answer:

Problem 2: \( 0.0045 \, \text{km} \to \text{m} \)