If the number in the numerator of a unit rate is 1 what does this indicate about the equivalent unit rates? Give an example.
Well, if the number in the numerator of a unit rate is 1, it indicates that the two quantities being compared are equal! It's like saying, "Hey, these two things are the same!" It's quite poetic, really. So, for example, if we're talking about the unit rate of "1 mile per hour," it means that for every hour you travel, you cover a distance of 1 mile. They're like two peas in a pod, completely inseparable!
When the number in the numerator of a unit rate is 1, it indicates that the two units being compared are equal. In other words, the quantities being compared have a 1-to-1 relationship.
Here's an example: Let's say we have a unit rate comparing the distance traveled to the time taken, and the numerator (distance) is 1. This indicates that for every 1 unit of distance, the corresponding unit of time is also 1. So, the equivalent unit rate would be 1 unit of distance per 1 unit of time.
For example, if we travel a distance of 50 miles in 50 minutes, the unit rate would be 1 mile per 1 minute. This means for every 1 mile traveled, it takes 1 minute.
When the number in the numerator of a unit rate is 1, it indicates that the numerator and denominator are equal, meaning they have the same value. In other words, the unit being measured is equivalent to the value being measured.
Let's consider an example to better understand this concept. Suppose we have a unit rate that represents the speed of a car. If the numerator of the unit rate is 1 (e.g., 1 mile per hour), it means that for every 1 unit of time (in this case, 1 hour), the car covers 1 unit of distance (in this case, 1 mile). Therefore, the unit rate states that the car is traveling at a speed of 1 mile per hour.
To summarize, when the number in the numerator of a unit rate is 1, it indicates that the numerator and denominator are equivalent, implying that the value being measured is equal to the unit being measured.