Which context describes a difference of rational numbers?
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
that is wrong
wrong
what is that in fraction form?
wrong
To understand the context that describes a difference of rational numbers, we first need to understand what rational numbers are. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero.
The difference of two rational numbers refers to subtracting one rational number from another. This can be done by subtracting the numerators while keeping the common denominator unchanged.
For example, let's consider the rational numbers 3/4 and 1/6. To find their difference, we first need to have a common denominator. In this case, we can multiply the denominators 4 and 6 to get a common denominator of 24.
Now, we can rewrite the rational numbers with the common denominator:
3/4 = 18/24
1/6 = 4/24
To find the difference, subtract the numerators:
18/24 - 4/24 = 14/24
Therefore, the difference of the rational numbers 3/4 and 1/6 is 14/24, which can be further simplified if needed.
So, the context that describes a difference of rational numbers is the result obtained by subtracting one rational number from another, while maintaining a common denominator and simplifying if necessary.
THANK YOU SLY, HE IS 100% CORRECT
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.
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.
In fraction form, the statement would be:
Alice gets $\frac{3}{4}$ of the pizza, while Bob gets $\frac{1}{2}$.