I do not undeerstand this question for homework.
Determine if the set is closed for the given operation.
1. yes or no- The set of positive fractions for division.
2. yes or no=The set of positive integers for subtraction.
Can someone help me? Is there a website that I can go to to explain this to me. I have had someone send me to a help site before but cannot remember it.
Thank you
Of course! I'm here to help you understand the question and find the answers.
To determine if a set is closed for a given operation, we need to check if performing that specific operation on any two elements within the set always results in a third element that is also in the set.
1. For the first question, we are asked if the set of positive fractions is closed for division. To answer this, we need to consider what happens when we divide any two positive fractions. If we take the division of two positive fractions and the result is still a positive fraction, then the set is closed for division. If the result is not a positive fraction, then the set is not closed for division.
To determine this, you can choose any two positive fractions (e.g., 1/2 and 3/4) and perform the division operation on them. If the result (1/2 ÷ 3/4) is still a positive fraction, then the set is closed for division. If the result is not a positive fraction (e.g., a whole number or negative number), then the set is not closed for division.
2. For the second question, we are asked if the set of positive integers is closed for subtraction. Similarly, we need to check if subtracting any two positive integers always results in another positive integer.
To determine this, you can choose any two positive integers (e.g., 5 and 3) and subtract them. If the result (5 - 3) is still a positive integer, then the set is closed for subtraction. If the result is not a positive integer (e.g., zero or a negative integer), then the set is not closed for subtraction.
As for a website that can help you with similar questions, there are several educational websites that can provide further explanations and examples. One popular website is Khan Academy (www.khanacademy.org), which offers a wide range of video lessons and practice problems on different topics, including operations on numbers. You can search for specific topics or browse their math section to find relevant resources.
Remember, understanding the concept behind the question is crucial in mathematics. You can use these explanations and examples to solve similar questions in the future.