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The sum of the greatest and the smallest numbers of three consecutive even integers is 999?
There is no set of three consecutive even integers whose sum is 999. There are two other sets; one is odd, the other is mixed. The odd set is 331, 333 and 335. The mixed set is 332, 333 and 334.
Is the set of odd integers closed under multiplication?
Yes, the set of odd integers is closed under multiplication. When you multiply two odd integers, the product is always odd. For example, multiplying 3 (odd) by 5 (odd) results in 15, which is also odd. Thus, the product of any two odd integers remains within the set of odd integers.
Why are the set of integers closed under addition?
The set of integers is closed under addition because the sum of any two integers is always an integer. This means that when you add two whole numbers, whether they are positive, negative, or zero, the result will still belong to the set of integers. For example, adding -3 and 5 results in 2, which is also an integer. Hence, this property ensures that no matter which integers are selected for addition, the outcome remains within the set of integers.
If the sum of two integers is zero what can you conclude about the integers?
That if one of them is a, the other is -a.
Which operation is the set of integers not closed?
The set of integers is not closed under division. While adding, subtracting, and multiplying integers always result in another integer, dividing two integers can produce a non-integer (for example, (1 \div 2 = 0.5)). Thus, division of integers does not guarantee that the result remains within the set of integers.
The product of two consecutive integers is 200?
There is no set of two consecutive integers equating to 200.
How does the set of whole numbers differ from the set of integers?
Integers include negative numbers.
Which set is the intersection of integers and rational numbers?
The intersection of integers and rational numbers is the set of integers. Integers are whole numbers that can be positive, negative, or zero, while rational numbers are numbers that can be expressed as a ratio of two integers. Since all integers can be expressed as a ratio of the integer itself and 1, they are a subset of rational numbers, making their intersection the set of integers.
What are two consecutive odd integers for 323?
There is no set of two consecutive odd integers for 323. The set has one odd and one even integer. The numbers are 161 and 162.
The sum of the greatest and the smallest numbers of three consecutive even integers is 999?
There is no set of three consecutive even integers whose sum is 999. There are two other sets; one is odd, the other is mixed. The odd set is 331, 333 and 335. The mixed set is 332, 333 and 334.
Is the set of odd integers closed under multiplication?
Yes, the set of odd integers is closed under multiplication. When you multiply two odd integers, the product is always odd. For example, multiplying 3 (odd) by 5 (odd) results in 15, which is also odd. Thus, the product of any two odd integers remains within the set of odd integers.
Why are the set of integers closed under addition?
The set of integers is closed under addition because the sum of any two integers is always an integer. This means that when you add two whole numbers, whether they are positive, negative, or zero, the result will still belong to the set of integers. For example, adding -3 and 5 results in 2, which is also an integer. Hence, this property ensures that no matter which integers are selected for addition, the outcome remains within the set of integers.
What is 403030303 930303934039403994303954309403?
It is a set of two positive odd integers.
What is a set of whole numbers and their opposites?
The two sets are the same: the set of integers.
If the sum of two integers is zero what can you conclude about the integers?
That if one of them is a, the other is -a.
What are two consecutive integers is 200 between?
"Consecutive" integers are integers that have no other integer between them.
Is the intersection of two infinite sets always an infinite set?
No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.
