CENTIMETER TO KILOMETER HOW TO

Note how m cancels, leaving mm, which is the unit of interest. Canceling units and performing the mathematics, we get 14. Therefore, we will use the second conversion factor. Because the original unit is assumed to be in the numerator, to get rid of it, we want the meter unit in the denominator then they will cancel. The original unit of our quantity is meters, which we want to convert to millimeters. Which conversion factor do we use? The answer is based on what unit you want to get rid of in your initial quantity. But now a question arises: which quantity do we divide by? It turns out that we have two choices, and the two choices will give us different conversion factors, both of which equal 1: 1,000 mm 1,000 mm = 1 m 1,000 mm or 1,000 mm 1 m = 1 m 1 m 1 = 1 m 1,000 mm or 1,000 mm 1 m = 1 Now we construct a conversion factor by dividing one quantity into both sides. Most people are more comfortable working without fractions, so we will rewrite this equation by bringing the 1,000 into the numerator of the other side of the equation: 1,000 mm = 1 m The 1/1,000 is what the prefix milli- means. We start with the definition of a millimeter, which is 1 mm = 1/1,000 m How many millimeters are in 14.66 m? To answer this, we need to construct a conversion factor between millimeters and meters and apply it correctly to the original quantity. But in this case, we used a more formal procedure that is applicable to a variety of problems. Now, multiply and divide all the numbers to get the final answer: 4 × 3 ft 1 = 12 ft 1 = 12 ftĪgain, we get an answer of 12 ft, just as we did originally. In this case, what cancels is the unit yard: 4 yd × 3 ft 1 yd If the same thing appears in the numerator and denominator of a fraction, they cancel. We are essentially multiplying fractions. The 4 yd term can be thought of as 4 yd 1 that is, it can be thought of as a fraction with 1 in the denominator. Rather than multiplying by just 1, let us write 1 as 3 ft 1 yd: 4 yd × 3 ft 1 yd When you multiply anything by 1, you don’t change the value of the quantity. To see how this happens, let us start with the original quantity: 4 yd (The process of converting units in such a formal fashion is sometimes called dimensional analysis or the factor label method.) The expression 3 ft 1 yd is called a conversion factor A fraction that can be used to convert a quantity from one unit to another., and it is used to formally change the unit of a quantity into another unit. This is a strange way to write 1, but it makes sense: 3 ft equal 1 yd, so the quantities in the numerator and denominator are the same quantity, just expressed with different units. We have an expression, 3 ft 1 yd, that equals 1. When everything cancels in a fraction, the fraction reduces to 1: 1 = 3 ft 1 yd The quantities in the numerator and denominator cancel, both the number and the unit: 1 yd 1 yd = 3 ft 1 yd It has the same quantity in the numerator and the denominator, so it must equal 1. The expression is still an equality, by the rules of algebra. Going back to the original equality, suppose we divide both sides of the equation by 1 yard (number and unit): 1 yd 1 yd = 3 ft 1 yd We see that one-half of a yard equals 3/2, or one and a half, feet-something we also know to be true, so the above equation is still an equality. For example, if we divide both sides by 2, we get 1 2 yd = 3 2 ft The rules of algebra say that you can change (i.e., multiply or divide or add or subtract) the equality (as long as you don’t divide by zero) and the new expression will still be an equality. In math, this expression is called an equality. We know that 1 yard (yd) equals 3 feet (ft): 1 yd = 3 ft

$centimeter to kilometer$

Let us formalize it in a way that can be applied more generally. This is correct, of course, but it is informal. How did you make this determination? Well, if there are 3 feet in 1 yard and there are 4 yards, then there are 4 × 3 = 12 feet in 4 yards. In this section, we will formalize the process.Ĭonsider a simple example: how many feet are there in 4 yards? Most people will almost automatically answer that there are 12 feet in 4 yards.

CENTIMETER TO KILOMETER HOW TO

In Section 2.2 'Expressing Units', we showed some examples of how to replace initial units with other units of the same type to get a numerical value that is easier to comprehend. Convert from one unit to another unit of the same type.

Centimeter to kilometer