Problem 29 Complete. $$ 67 \mathrm{hg}=... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 8: Problem 29

Complete. $$ 67 \mathrm{hg}=\quad\mathrm{kg} $$

Short Answer

Expert verified

6.7 kg

Step by step solution

Understand the conversion factor

1 hectogram (hg) is equal to 0.1 kilograms (kg). Therefore, we need to use this conversion factor to solve the problem.

Set up the conversion

After performing the multiplication, the result is 6.7 kg.

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Key Concepts

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

hectograms to kilograms

To convert between hectograms (hg) and kilograms (kg), it's important to understand the relationship between these units. One hectogram is equal to 0.1 kilograms. This means:
$ 1 \text{ hg} = 0.1 \text{ kg} $. If you need to convert from hectograms to kilograms, you simply multiply the amount in hectograms by 0.1.
For instance, if you have 67 hg and you want to find out how many kilograms this is, you do the following calculation:
\[ 67 \text{ hg} \times 0.1 \text{ kg}/\text{hg} = 6.7 \text{ kg} \]. Thus, 67 hectograms is equal to 6.7 kilograms.

unit conversion

Unit conversion is a crucial skill in many areas of study and practical life. It involves changing a measurement from one unit to another while keeping the same value. In our example, we converted hectograms to kilograms. This process involves knowing the conversion factor between the units.
Some key points to remember:

Always know the conversion factor. For hectograms to kilograms, it is 0.1.
Set up your conversion as a multiplication problem to use the conversion factor effectively.
Check the units to ensure they cancel out correctly. In the example, we ensured hg canceled out, leaving us with kg.

Unit conversions make it easy to work with measurements in different systems, helping in science, cooking, engineering, and much more.

basic arithmetic operations

Basic arithmetic operations are foundational skills that everyone needs to understand for effective problem-solving. These operations include addition, subtraction, multiplication, and division. In our exercise, we used multiplication to convert hectograms to kilograms.
Here's a quick refresher:

Addition: Combining two numbers to get a total. E.g., 2 + 3 = 5
Subtraction: Finding the difference between two numbers. E.g., 5 - 3 = 2
Multiplication: Repeated addition of a number. E.g., 4 \times 3 = 12
Division: Splitting a number into equal parts. E.g., 12 / 3 = 4

In the context of our problem, multiplying the number of hectograms (67) by the conversion factor (0.1) guided us to seamlessly switch units from hectograms to kilograms: $ 67 \text{ hg} \times 0.1 \text{ kg}/\text{hg} = 6.7 \text{ kg} $.

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91影视

Complete. $$ 67 \mathrm{hg}=\quad\mathrm{kg} $$

Short Answer

Step by step solution

Understand the conversion factor

Set up the conversion

Key Concepts

hectograms to kilograms

unit conversion

basic arithmetic operations

One App. One Place for Learning.

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