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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.

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4y ago
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4y ago
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Q: What is a set of numbers that includes 1 but not zero?
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What are all natural numbers and zero?

That refers to the set of numbers that starts with:0, 1, 2, 3, 4, 5, 6, etc.This is the set of whole numbers.


What is the difference between whole numbers and positive integers?

Whole numbers are generally speaking numbers that are "whole" or without fractions and decimals. Generally they are considered to be the natural numbers (or counting numbers) plus zero. The set of whole numbers is {0, 1, 2, 3, ...}. Positive integers are numbers in the set of integers that are greater than zero. The integers {..., -2, -1, 0, 1, 2, ...}. The positive integers {1, 2, 3, ...}. So generally the only difference is whether or not zero is included. Note that there are arguably different sets that can be called whole numbers (such as without the zero, or even somewhat rarely all integers positive and negative).


What is the lowest common factor of 3 and 9?

The least common factor of any set of numbers is 1.


What is the element of the intersection of the set of whole number and the set of natural numbers?

Well, honey, the intersection of the set of whole numbers and the set of natural numbers is the set of all positive integers. In other words, it's the numbers that are both whole and natural, which means it starts from 1 and goes on forever. So, there you have it, the sassy math lesson of the day!


Zero is an element of a set of natural numbers?

That depends on whom you're talking to. The term "natural number" refers either to a member of the set of positive integers 1, 2, 3, ... or to the set of nonnegative integers 0, 1, 2, 3, ... . Regrettably, there seems to be no general agreement about whether to include 0 in the set of natural numbers.