Which context describes a difference if 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
Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. The numerator and denominator in a fraction must be integers, and the denominator cannot be zero. Rational numbers include both positive and negative fractions, as well as whole numbers and integers. They can also include terminating decimals, which are decimals that end, and repeating decimals, which have a repeating pattern of digits. The context that describes a difference in rational numbers often refers to the various ways they can be represented and their relationship with other types of numbers, such as irrational numbers or real numbers.
To understand the differences between rational numbers, you need to know what rational numbers are. A rational number is a number that can be expressed as a fraction or ratio of two integers, where the denominator is not zero.
Now, let's look at the different contexts that can describe the differences among rational numbers:
1. Form representation: Rational numbers can be represented in different forms, such as fractions, decimals, or percentages. For example, 2/3, 0.666..., and 66.67% are all representations of the same rational number.
2. Magnitude: Rational numbers can be compared and ordered based on their magnitudes. Some rational numbers are greater than others, while some are less than. For example, 1/2 is less than 3/4, but both are greater than 1/3.
3. Operations: Rational numbers can be operated upon using arithmetic operations like addition, subtraction, multiplication, and division. Different rational numbers may yield different results when subjected to the same operation. For example, adding 1/3 and 1/4 gives 7/12, which is different from the original numbers.
4. Simplification: Rational numbers can be simplified using various methods such as finding the greatest common divisor (GCD) of the numerator and denominator or dividing both by the same factor. Simplified forms may have different numerators and denominators than the original representation. For example, 4/8 can be simplified to 1/2.
So, various contexts can be used to describe the differences between rational numbers, including their form representations, magnitudes, operations, and simplification methods.