Conversion factors
Master Conversion factors in Grade 10 math. A conversion factor is a fraction equal to 1, such as $$ So, the bicycle's speed is 8 feet per secon. Practice with Saxon Algebra 2 examples.
Key Concepts
A conversion factor is a fraction equal to 1, such as $$\frac{1 \text{ ft}}{12 \text{ in.}}$$, used to convert one unit of measure to another. To convert a quantity, you multiply it by a conversion factor chosen to cancel the original unit and introduce the desired unit. This process is also known as dimensional analysis.
To change 720 inches to feet: $$\frac{720 \text{ in.}}{1} \times \frac{1 \text{ ft}}{12 \text{ in.}} = 60 \text{ ft}$$. To change 5 hours to minutes: $$\frac{5 \text{ hr}}{1} \times \frac{60 \text{ min}}{1 \text{ hr}} = 300 \text{ min}$$.
Think of conversion factors as magical translators for units. You're not changing a measurement's value, just its language! By multiplying by the right fraction, you make 'inches' disappear and 'feet' appear in their place. It's all about setting up the fraction so the unwanted units are on opposite sides and cancel each other out.
Common Questions
What is Conversion factors?
A conversion factor is a fraction equal to 1, such as $$ So, the bicycle's speed is 8 feet per second. Common mistake tip: The most common error is flipping the conversion factor upside down! Always make sure the unit you want to get rid of is on the opposite side of the fraction bar (one on...
How do you apply Conversion factors in practice?
To change 720 inches to feet: $$
Why is Conversion factors important for Grade 10 students?
Think of unit conversion like trading one type of currency for another! To go from inches to feet, you need the 'exchange rate,' which we call a conversion factor. The whole goal is to set up a fraction that makes the old unit (inches) disappear and leaves you with the new unit (feet). The rule...