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QuestionMathematics

"Using the ladder method, convert 2000 mg to what unit? A. 8 B. 20 C. 200 D. 20000"
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Answer

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Step 1:
I'll solve this problem step by step using the ladder method for metric unit conversion.

Step 2:
: Understand the Metric Ladder

The metric system uses a ladder where each step represents a multiplication or division by 10. When moving down the ladder, we multiply; when moving up, we divide.

Step 3:
: Identify the Starting Unit

We start with 2000 mg (milligrams)

Step 4:
: Determine the Conversion Path

To convert mg to a larger unit, we'll move up the ladder mg → g (milligrams to grams)

Step 5:
: Perform the Conversion

2000 \div 1000 = 2
(We divide by 1000 because there are 1000 mg in 1 g)

Step 6:
: Check the Units

2 g is equivalent to the original 2000 mg

Step 7:
: Verify the Answer Choices

Looking at the options, we see 2 corresponds to option B.

Final Answer

Key Insights: - In metric conversions, moving up the ladder means dividing by 1000 - 1 g = 1000 mg - Always carefully track your units during conversion