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Chapter 8: Problem 36

Complete. Do as much as possible mentally. 9 km = _____hm

Short Answer

Expert verified
90 hm

Step by step solution

01

Understand the Units

Recognize that you need to convert kilometers (km) to hectometers (hm).
02

Metric Conversion Factor

Recall that 1 kilometer is equal to 10 hectometers. This is because the prefix 'kilo-' means 1000 and 'hecto-' means 100.
03

Multiply by Conversion Factor

Multiply the number of kilometers by the conversion factor: \(9 \text{ km} \times 10 = 90 \text{ hm} \)
04

Final Answer

Write down the converted value: 9 km = 90 hm.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

unit conversion
Unit conversion is a fundamental skill in various fields including science, engineering, and everyday life. It involves changing a quantity from one unit to another while maintaining its value. Metric conversions are easier because they use a standardized factor, typically powers of ten. For example, to convert 1000 meters to kilometers:
  • Step 1: Identify the conversion factor (1 kilometer = 1000 meters).
  • Step 2: Divide by the conversion factor (1000 meters / 1000 = 1 kilometer).
  • Step 3: Write down the converted value (1 kilometer).
In the case of converting kilometers to hectometers, the process is simplified by the metric system's structure, making it straightforward to multiply or divide by ten or its multiples. Practicing these conversions is essential for fluency in math and science topics that frequently require accurate measurements.

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