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Chapter 11: Problem 69

Complete. \(2 \mathrm{hg}\)=__________\({\mathrm{g}}\)

Short Answer

Expert verified
200 g

Step by step solution

01

Understand the Units

The question asks to convert hectograms (hg) to grams (g). Understanding the conversion factor between these units is essential. 1 hectogram (hg) is equal to 100 grams (g).
02

Set Up the Conversion Equation

To convert from hectograms to grams, multiply the number of hectograms by the conversion factor. This is represented by the equation: \[ \text{grams} = \text{hectograms} \times 100 \]
03

Calculate the Conversion

Substitute the given value into the equation. Here, it's 2 hectograms:\[ \text{grams} = 2 \text{hg} \times 100 \]Perform the multiplication to get the result:\[ \text{grams} = 200 \text{g} \]

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Key Concepts

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

hectograms to grams
When you need to convert from hectograms (hg) to grams (g), knowing the conversion factor makes the process simple. One hectogram is equal to 100 grams. This means you can directly multiply the number of hectograms by 100 to get the value in grams. For example, to convert 2 hectograms to grams: just multiply 2 by 100, which equals 200 grams. Understanding this conversion allows you to easily switch between these units in various problems.
conversion factor
A conversion factor is a number used to change one set of units to another by multiplying or dividing. In the case of hectograms to grams, the conversion factor is 100. This tells us that there are 100 grams in one hectogram. When converting between units, having the right conversion factor is critical since it ensures the accuracy of your calculations. Always check the conversion factor before you start to avoid errors.
Here's an example to illustrate: If you have 3 hectograms and want to convert it to grams, you use the conversion factor like this:
  • Multiply the number of hectograms by 100.
  • 3 hg x 100 = 300 g.
multiplication in conversions
Multiplication is often the key operation when converting one unit to another, especially with metric conversions. In our example of converting hectograms to grams, multiplying by 100 is necessary. This is because 1 hectogram equals 100 grams. Follow these steps for conversion via multiplication:
  • Identify the conversion factor (e.g., 100).
  • Multiply the original measurement by the conversion factor.

For example, to convert 5 hectograms to grams using multiplication:
  • Multiply 5 (hectograms) by 100 (conversion factor).
  • The result is 500 grams.

Using multiplication correctly ensures you get the right value when switching between units.

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