Which context describes a difference of rational numbers? Choose the correct answer.
finding the average of daily high temperatures
finding the average of daily high temperatures
determining the coldest temperature in a month
determining the coldest temperature in a month
recording the temperature hourly
recording the temperature hourly
comparing the daily high temperature and low temperature
comparing the daily high temperature and low temperature
Which scenario about books represents finding the difference? Choose the correct answer.
finding the type of books in a store
finding the type of books in a store
finding the location of a book in a store
finding the location of a book in a store
finding the total number of books in a store when new books arrive
finding the total number of books in a store when new books arrive
finding the number of books remaining after a sale on books
finding the number of books remaining after a sale on books
The temperature on Monday is −4°C. On Tuesday, it is 13° colder. What is the temperature on Tuesday? Choose the correct answer.
17°C
−17°C
9°C
−9°C
The temperature on Tuesday is −4°C + (-13°C) = -17°C. Therefore, the correct answer is −17°C.
Ping dove off a 10 meter platform. He reached a depth of 6 meters in the water. What was the change in height? Choose the correct answer
4 meters
4 meters
60 meters
60 meters
16 meters
16 meters
64 meters
The change in height can be calculated by subtracting the depth from the initial height. In this case, the change in height would be 10 meters - 6 meters = 4 meters. Therefore, the correct answer is 4 meters.
A parasail is 1/20 of a meter above the water. Then, after 10 minutes, the parasail is 1/50 of a meter above the water. What is the change in height? Choose the correct answer. (As in fractions)
7/100 meter
1/50 meter
3/100 meter
1/20 meter
The change in height can be calculated by subtracting the initial height from the final height.
The initial height is 1/20 of a meter and the final height is 1/50 of a meter.
To subtract fractions, we need a common denominator. The least common multiple of 20 and 50 is 100.
Converting both fractions to have a denominator of 100:
1/20 = 5/100
1/50 = 2/100
Now, subtracting the fractions:
5/100 - 2/100 = 3/100
Therefore, the correct answer is 3/100 meter.
The context that describes a difference of rational numbers is "comparing the daily high temperature and low temperature." To understand why, let's break down the options and identify the key terms.
1. Finding the average of daily high temperatures: This context involves adding up all the daily high temperatures and dividing the sum by the number of days. It does not directly refer to finding a difference between two numbers.
2. Determining the coldest temperature in a month: This context requires finding the lowest temperature during a month. While it involves comparing temperatures, it does not specifically focus on finding the difference between two numbers.
3. Recording the temperature hourly: This context refers to keeping track of the temperature every hour, but it does not imply finding the difference of temperatures.
4. Comparing the daily high temperature and low temperature: This context emphasizes finding the difference between the highest and lowest temperature recorded during a given day. It explicitly mentions comparing two temperatures, leading to the conclusion that this is the correct answer.