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Chapter 6: Problem 58

Change 70 kilograms to grams.

Short Answer

Expert verified
70 kilograms is equal to 70000 grams.

Step by step solution

01

Understand the Conversion Factor

To convert from kilograms to grams, we need to know the conversion factor. Since 1 kilogram is equal to 1000 grams, we can use this information to change kilograms to grams.
02

Set Up the Multiplication

We have 70 kilograms and we want to convert it to grams. We will multiply the number of kilograms by the conversion factor to find out how many grams. This means setting up our multiplication as follows: \( 70 \text{ kg} \times 1000 \frac{\text{g}}{\text{kg}} \).
03

Perform the Multiplication

Now we perform the multiplication: \( 70 \times 1000 = 70000 \). Hence, 70 kilograms equals 70000 grams.

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Key Concepts

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

Metric System
The metric system is a widely used system of measurement that is based on powers of ten. It is used all over the world for scientific, medical, and many everyday activities.
The simplicity of the metric system lies in its use of a base-10 foundation, which makes conversions straightforward and uniform.
Some key units in the metric system include meters, liters, and grams.
  • Meters: Measure length or distance.
  • Liters: Measure volume.
  • Grams: Measure weight or mass.
Since the metric system is decimal-based, conversions within it involve multiplying or dividing by powers of ten, making it very user-friendly.
Kilograms to Grams
When converting from kilograms to grams, it's important to know how these units relate. A kilogram is one of the basic units in the metric system, used primarily to measure larger quantities of mass.
Understanding how to convert kilograms to grams involves the conversion factor between these units.
The conversion factor is simple to remember:
  • 1 kilogram (kg) is equal to 1000 grams (g).
To convert kilogram units to gram units, you use multiplication because the gram is a smaller unit. This means you will have more grams than kilograms for any given amount of mass. So, to find how many grams are in a certain number of kilograms, you multiply the number of kilograms by 1000.
Multiplication
Multiplication is a basic mathematical operation used frequently in unit conversions and in everyday calculations. It is the process of adding a number to itself a certain number of times.
This operation is key when converting kilograms to grams because it helps scale the number of larger units to smaller ones. Here's how you use multiplication to convert units:
  • Identify the conversion factor. In this case, it is 1000.
  • Multiply the given value by this factor. For instance, for the conversion of 70 kilograms to grams, you calculate:
    \[70 \times 1000 = 70000\]
    This shows that 70 kilograms is equal to 70000 grams.
Multiplication ensures that your conversion is accurate, maintaining the integrity of the measurement through consistent mathematics.

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