Which context describes a difference of rational numbers?

10 answers

Two real estate agents are comparing the prices of two different houses. One agent says that House A is priced at -$\frac{3}{4}$ while House B is priced at $\frac{3}{4}$. The other agent points out that the prices are the same because both numbers are $\frac{3}{4}$. The first agent then explains the difference by saying that one number is negative and the other is positive, which makes them different rational numbers.
wrong
Apologies for the incorrect response.

A more appropriate context describing a difference of rational numbers could be:

Two friends, Alice and Bob, are dividing a pizza. Alice gets $\frac{3}{4}$ of the pizza, while Bob gets $\frac{1}{2}$. They realize that both fractions represent parts of the pizza, but they are different rational numbers because the denominators (4 and 2) are different. Hence, they have different amounts of pizza.
what is that in fraction form?
In fraction form, the statement would be:

Alice gets $\frac{3}{4}$ of the pizza, while Bob gets $\frac{1}{2}$.
that is wrong
Apologies for the confusion. Here is the correct statement in fraction form:

Alice gets $\frac{3}{4}$ of the pizza, while Bob gets $\frac{2}{4}$ (which can be simplified to $\frac{1}{2}$).
wrong
Application of Subtracting Rational Numbers Quick Check
1. Which context describes a difference of rational numbers?
-- comparing the daily high temperature and low temperature
2. Which scenario about books represents finding the difference?
-- finding the number of books remaining after a sale on books
3. The temperature on Monday is −4°C. On Tuesday, it is 13° colder. What is the temperature on Tuesday?
-- −17°C
4. Ping dove off a 10 meter platform. He reached a depth of 6 meters in the water. What was the change in height?
-- 16 meters
5. A parasail is 120 of a meter above the water. Then, after 10 minutes, the parasail is 150
of a meter above the water. What is the change in height?
-- 3/100 meter
Taken September 2023
THANK YOU SLY, HE IS 100% CORRECT