Table of Contents
What is a unit multiplier?
Unit multipliers are what we use to convert one set of units to another. We cancel the units of “feet,” and then simplify in order to get a value that’s only in terms of inches.
Is ratio a unit of measurement?
Ratios may be unitless, as in the case they relate quantities in units of the same dimension, even if their units of measurement are initially different. For example, the ratio 1 minute ∶ 40 seconds can be reduced by changing the first value to 60 seconds, so the ratio becomes 60 seconds ∶ 40 seconds.
What are multiple units in measurement?
Unit multipliers can be used to convert units. In the metric system, the four main units of measurement are seconds for time, kilograms for mass, liters for capacity, and meters for length.
How do you multi unit multipliers?
Use conversion facts to find a unit multiplier that involves the unit you are changing from and the unit you are changing to. Multiply the quantity you are converting by the unit multiplier that will cancel out the unit you are changing from and leave the unit you are changing to.
Is a ratio in which the two terms are different in units?
Explanation: A “rate” is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL.
How can you use ratios to convert units of measurement?
We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.
Do ratios have to use the same units?
The two numbers in a ratio do not have to have the same units. One chicken to every pot (1 chicken:1 pot) is a ratio. In some cases, it can be convenient to express ratios all in the same units, for example, the ratio of 9 cups to 16 cups may be written in two ways: with a colon 9:16 or as a common fraction 9/16.
How many units of measurement are there?
seven
There are seven basic units in the SI system: the meter (m), the kilogram (kg), the second (s), the kelvin (K), the ampere (A), the mole (mol), and the candela (cd).
Why are unit multipliers equal to another quantity?
Notice that since unit multipliers are actually equal to 1, we can multiply them by another quantity without changing that quantity. It is because of this fact that we can use unit multipliers to convert units.
How to find a multiplier for a conversion?
Use conversion facts to find a unit multiplier that involves the unit you are changing from and the unit you are changing to. Multiply the quantity you are converting by the unit multiplier that will cancel out the unit you are changing from and leave the unit you are changing to.
How to multiply 28 yards by unit multipliers?
Therefore, we want to multiply 28 yards by the unit multipliers 3 ft / 1 yd and 12 in / 1 ft. Awesome! We canceled out the unwanted units and are left with inches, so we see that 28 yards = 1008 inches.
Why do we use two unit multipliers for 60 seconds?
Because 60 seconds = 1 minute, we have two unit multipliers: Since we are converting 30 minutes to seconds, we want to use the unit multiplier that will cause the minutes to cancel out, so we want to use 60s/1min. We get that 30 minutes = 1800 seconds.