The set of numbers which includes all positive numbers that are not decimals and which includes zero is the set of?
Integers
Natrual numbers
Whole numbers
Rational numbers
whole
natural excludes zero
integers include negatives
rational includes integers and fractions
The set of numbers that includes all positive numbers that are not decimals and includes zero is the set of whole numbers.
To understand why, let's break down the different types of numbers:
1. Natural numbers: These are the counting numbers starting from 1 (e.g., 1, 2, 3, 4...). Natural numbers do not include zero.
2. Whole numbers: These are the natural numbers together with zero (e.g., 0, 1, 2, 3, 4...). Whole numbers include zero but do not include fractions, decimals, or negative numbers.
3. Integers: These are the whole numbers together with their negatives and zero (e.g., ..., -3, -2, -1, 0, 1, 2, 3...). Integers include positive and negative numbers, as well as zero, but they do not include fractions or decimals.
4. Rational numbers: These are numbers that can be expressed as a fraction a/b, where a and b are integers and b is not zero. Rational numbers include integers, natural numbers, whole numbers, and fractions.
Therefore, in this case, since we are considering positive numbers that are not decimals and include zero, the correct set would be the set of whole numbers.