Question

Convert the following to the equivalent measures indicated. \(47 \mathrm{~kg}=\) ______ \(\mathrm{lb}\)

Short answer

47 kg is approximately 103.62 lb.

Step-by-step solution

Understand the conversion factor

To convert kilograms (kg) to pounds (lb), we need to use a conversion factor. The standard conversion factor is:\[ 1 \text{ kg} = 2.20462 \text{ lb} \]

Set up the conversion

Now, we can set up the conversion using the known conversion factor. Multiply the given amount in kilograms by the conversion factor:\[ 47 \text{ kg} \times 2.20462 \text{ lb/kg} \]

Calculate the conversion

Perform the multiplication to find the equivalent weight in pounds:\[ 47 \times 2.20462 = 103.61714 \text{ lb} \]

Round the result

Rounding the result to the nearest hundredth (since weight is often represented with two decimal places), we get:\[ 47 \text{ kg} = 103.62 \text{ lb} \]

Key concepts

Understanding Conversion Factors

A conversion factor is a numerical value used to change units from one system to another. It is a ratio that expresses how much of one unit is equal to another. Conversion factors are derived from equalities or relations between different units. These factors are essential tools in unit conversion, as they help ensure that you obtain an equivalent value in another unit system.
For example, the conversion factor for changing kilograms to pounds is 2.20462. This means that each kilogram is equivalent to 2.20462 pounds. By multiplying the original measurement by this conversion factor, you can find the measurement in the desired units.

• Make sure the conversion factor is set up so the units cancel out.
• Understand that the conversion factor remains constant and independent of the quantity being converted.

Kilograms to Pounds Conversion

Converting kilograms to pounds is a common task in measurement conversion, especially in contexts where both metric and imperial units are used. This conversion process involves multiplying the weight in kilograms by the specific conversion factor for kilograms to pounds, which is 2.20462.
Suppose you have an object that weighs 47 kilograms and you want to know how much it weighs in pounds. You would set up the conversion like this:\[ 47 \text{ kg} \times 2.20462 \text{ lb/kg} \] This setup ensures that the kilogram unit cancels out, leaving the weight in pounds. The choice of unit conversion depends on your end goal, such as communicating weight in terms someone else might understand more easily or aligning with specified measurement standards.

The Art of Rounding Numbers

Rounding numbers is about simplifying a number while keeping it close to the original value. It's particularly important for presenting data neatly or adhering to specified precision standards. In most practical situations, weight is often expressed with two decimal places, especially when converting from kilograms to pounds.
To round a number, such as 103.61714 (the result of a kg to lb conversion), to the nearest hundredth, you look at the thousandths place (the third digit after the decimal point). If it is 5 or higher, you round up.

• Round 103.61714 to 103.62 because 7 is greater than 5.
• Think about the context to decide on an appropriate rounding precision.

Rounding helps make numbers easier to work with and understand.

Performing Mathematical Calculations

Mathematical calculations are the operations we perform to manipulate numbers to derive a conclusion or solve a problem. When converting units, you will often use multiplication based on conversion factors as seen in the kg to lb conversion.
It’s important to ensure that calculations are performed accurately to avoid errors in the final result. Here's what it typically involves:

• Set up your equation with the right conversion factor.
• Accurately multiply the given measures and the conversion factor.
• Verify the calculation using a calculator if necessary.

Mathematics becomes a vital skill in converting measurements, ensuring precision, and solving everyday problems efficiently.