0
Yes.....0 is an element of all integers Integers can be thought of as points on an infinitely long number line
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What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
Is zero less than all positive integers?
Yes, but greater than all negative integers
What is the sign of the product when you multiply four integers?
The sign of the product of four integers depends on the signs of the individual integers. There are 4 cases: 1) When all 4 integers share the same sign and all are non-zero (either all are positive or all are negative), the product is positive. 2) When 3 of the 4 integers share the same sign and all are non-zero (3 are positive and 1 is negative; or 3 are negative and 1 is positive), the product is negative. 3) When 2 of the integers are positive non-zero and the other 2 of the integers are negative non-zero, the product is positive. 4) If even one of the integers is zero, the product is zero (no sign - it is neither positive nor negative).
What are all positive integers that are less than zero?
none
Does the set of whole numbers includes all positive integers and?
zero
What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
Is zero less than all positive integers?
Yes, but greater than all negative integers
What is the sign of the product when you multiply four integers?
The sign of the product of four integers depends on the signs of the individual integers. There are 4 cases: 1) When all 4 integers share the same sign and all are non-zero (either all are positive or all are negative), the product is positive. 2) When 3 of the 4 integers share the same sign and all are non-zero (3 are positive and 1 is negative; or 3 are negative and 1 is positive), the product is negative. 3) When 2 of the integers are positive non-zero and the other 2 of the integers are negative non-zero, the product is positive. 4) If even one of the integers is zero, the product is zero (no sign - it is neither positive nor negative).
What is a set of numbers that includes 1 but not zero?
The set of positive integers contains 1 but not zero. Within the set of integers, there is the subset of positive integers, the subset of negative integers and the subset with a single element in it - zero. There are a zillion other sets that could be specified that meet the conditions set down in the question. The one cited is an easy one.
What is a non-zero integer?
The integers are the numbers {0, 1, 2, 3, ...} and the numbers {-1, -2, -3, 4, ...}. That is, they are all of the "whole" numbers, their negatives, and zero. A non-zero integer is any integer except 0.
Are all integers greater than zero are whole numbers?
Yes, by definition all positive integers are whole numbers.
How is zero a real number?
Zero is a an integer and, since all integers are real numbers, zero is a real number.
Are all integers natural?
Most people refer to the positive integers as the natural numbers. That would exclude the negative integers and zero.
What are all positive integers that are less than zero?
none
What include the natural numbers and zero?
All of the natural numbers and zero are called integers.
Are all integers positive?
The set of integers includes negative integers as well as positive integers. It also includes the number zero which is neither negative nor positive.
What is the average of all of the integers from -60 to 60 inclusive?
The average is zero.
