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Chapter 8: Problem 4

Perform the conversions. $$42 \mathrm{cg}=\mathrm{g}$$

Short Answer

Expert verified
42 cg = 0.42 g.

Step by step solution

01

- Understand the Conversion Factor

Understand that 1 centigram (cg) is equal to 0.01 grams (g).
02

- Set Up the Conversion

Write down the given value and its unit: 42 centigrams (cg).
03

- Apply the Conversion Factor

Multiply the given value by the conversion factor: 42 cg 脳 0.01 g/cg. Perform the multiplication to convert centigrams to grams.
04

- Calculate the Result

Perform the multiplication: 42 脳 0.01 = 0.42 grams (g).

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Key Concepts

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

centigrams to grams
Unit conversions are simple once you understand the relationship between the units. In this exercise, we are converting centigrams (cg) to grams (g). Centigrams and grams are both units for measuring mass. Grams are a larger unit compared to centigrams. Specifically, 1 gram is equal to 100 centigrams. This means that centigrams are 100 times smaller than grams. Thus, when converting from centigrams to grams, the value will be smaller by a factor of 100.
conversion factor
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. For converting centigrams to grams, the conversion factor is 0.01. This is because there are 100 centigrams in a gram, making each centigram equal to 0.01 grams. Here鈥檚 how to apply it: If you have 1 centigram, multiplying it by 0.01 gives you the equivalent weight in grams. Remembering the conversion factor is key when performing unit conversions.
performing multiplication
Performing multiplication is straightforward but crucial for accurate conversions. Given the factor 0.01 for converting centigrams to grams, you multiply the number of centigrams by 0.01. In our exercise, we start with 42 centigrams. We multiply 42 by 0.01 to find the equivalent in grams. Mathematically, this looks like: \(42 \times 0.01 = 0.42\). Thus, 42 centigrams is equal to 0.42 grams. Always double-check your calculations for accuracy.
measurement units
Measurement units are standard quantities used to specify measurements. Mass, for example, can be measured in units like grams, centigrams, kilograms, etc. Understanding the relationships between different measurement units makes conversions easier. For instance, smaller units (like centigrams) to larger units (like grams) generally involve dividing by the conversion factor, while the reverse involves multiplying. Mastery of basic units and their conversions forms a foundational skill in many fields.

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