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The y-intercept of the equation, b, is then calculated using either of the equivalent temperature pairs, (100 C, 212 F) or (0 C, 32 F), as: \[\begin{align*} b&=y-mx \\[4pt] &= \mathrm{32\:^\circ F-\dfrac{9\:^\circ F}{5\:^\circ C}\times0\:^\circ C} \\[4pt] &= \mathrm{32\:^\circ F} \end{align*} \nonumber \]. an equality that tells how much of one unit is equal to another unit That's pretty neat. Representing the Celsius temperature as \(x\) and the Fahrenheit temperature as \(y\), the slope, \(m\), is computed to be: \[\begin{align*} m &=\dfrac{\Delta y}{\Delta x} \\[4pt] &= \mathrm{\dfrac{212\: ^\circ F - 32\: ^\circ F}{100\: ^\circ C-0\: ^\circ C}} \\[4pt] &= \mathrm{\dfrac{180\: ^\circ F}{100\: ^\circ C}} \\[4pt] &= \mathrm{\dfrac{9\: ^\circ F}{5\: ^\circ C} }\end{align*} \nonumber \]. What was the speed in miles per hour, meters per second, and feet per second? If you go 5 meters per second for 1 hour, you will go 18,000 meters. x\:\ce{oz}&=\mathrm{125\:\cancel{g}\times \dfrac{1\: oz}{28.349\:\cancel{g}}}\\ Judged on the practice, there feels like there is more to it than this. \hline \text { July 1 } & 182 & 14.933 \\ Questions include m/s to mph, liters to cups, and pounds to kilograms. -worksheet with directions & space for the students to show their work and record their answers Now you're saying, "OK, \hline 9 \text { months } & \\ (non-leap year) Dimensional Analysis or the Factor Label Method Explained While the multiplication by 1 does not change the value of the measurement, it does change the measurement's units. A metal worker wants to figure out the cost of making a rectangular iron bar. Dimensional Analysis or the Factor Label Method (single unit conversion) Factor Label Method Simplified (Dimensional Analysis) Watch on Video Examples How many cm are in 2 miles? The diameter of a red blood cell is about 3 x 10-4 inches. Posted 6 years ago. Includes short answer questions on math with significant figures and dimensional analysis. \nonumber \]. Although the kelvin (absolute) temperature scale is the official SI temperature scale, Celsius is commonly used in many scientific contexts and is the scale of choice for nonscience contexts in almost all areas of the world. }=\frac{0.030 L}{1 fl oz. The diameter of a red blood cell is about 3 x 10-4 inches. Let's say that our rate is, let's say, let's keep our What was the speed in miles per hour, meters per second, and feet per second? The space between the two temperatures is divided into 100 equal intervals, which we call degrees. In general: the number of units of B = the number of units of A \(\times\) unit conversion factor.