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Chapter 7: Problem 259

In the following exercises, convert the units. Dimitri's daughter weighed 3.8 kilograms at birth. Convert this to grams

Short Answer

Expert verified
3800 grams

Step by step solution

01

Understand the Conversion Factor

To convert kilograms to grams, it is important to know the conversion factor. 1 kilogram is equal to 1000 grams.
02

Set Up the Conversion

Multiply the weight in kilograms by the conversion factor to convert it to grams. This means you need to multiply 3.8 kilograms by 1000 grams per kilogram.
03

Perform the Calculation

Calculate the product: \[3.8 \text{ kg} \times 1000 \frac{\text{g}}{\text{kg}} = 3800 \text{ g}\]
04

Write the Final Answer

After performing the multiplication, the final answer is 3800 grams.

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Key Concepts

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

Measurement Conversion
When we need to convert measurements from one unit to another, we use a conversion factor. A conversion factor is a number that you multiply the original measurement by to get the measurement in the new unit. This is useful for understanding and comparing different quantities.
For instance, converting from kilograms to grams is straightforward because the metric system is based on powers of 10. To convert kilograms to grams, we use the conversion factor of 1000, since 1 kilogram equals 1000 grams.
  • Identify the original unit (e.g., kilograms).
  • Find the conversion factor (defined by the metric system).
  • Multiply the original measurement by this conversion factor to get the new unit value.
Metric System
The metric system is a decimal-based system of measurement used worldwide. It makes conversions easy because units are based on powers of 10.
Here are some examples of metric units:
  • Length: millimeters (mm), centimeters (cm), meters (m), kilometers (km)
  • Mass: milligrams (mg), grams (g), kilograms (kg)
  • Volume: milliliters (mL), liters (L)
The simplicity of the metric system allows quick and easy conversions. Understanding the metric system's power-of-10 structure helps in converting values between different units.
Arithmetic Multiplication
Arithmetic multiplication is a fundamental math skill used in unit conversions. It involves multiplying two numbers to get a product.
In the example of converting 3.8 kilograms to grams, here's a quick breakdown:
  • Start with the given value: 3.8 kg.
  • Identify the conversion factor: 1000 grams per kilogram.
  • Multiply: 3.8 脳 1000.
  • Result: 3800 grams.
By practicing multiplication with different numbers, you build a strong foundation for more complex arithmetic and science concepts. This step is critical in ensuring accurate measurement conversions.

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