Question: If a set is defined by the constraint of being a natural number, which of the following is included?
Options:
-1
0
1
2.5
Correct Answer: 1
Solution:
1 is a natural number, while -1 and 0 are not considered natural numbers, and 2.5 is not an integer.
If a set is defined by the constraint of being a natural number, which of the fo
Practice Questions
Q1
If a set is defined by the constraint of being a natural number, which of the following is included?
-1
0
1
2.5
Questions & Step-by-Step Solutions
If a set is defined by the constraint of being a natural number, which of the following is included?
Step 1: Understand what a natural number is. Natural numbers are the positive integers starting from 1, 2, 3, and so on.
Step 2: Identify the numbers given in the question: 1, -1, 0, and 2.5.
Step 3: Check each number against the definition of natural numbers.
Step 4: Determine that 1 is a natural number because it is a positive integer.
Step 5: Determine that -1 is not a natural number because it is negative.
Step 6: Determine that 0 is not a natural number because natural numbers start from 1.
Step 7: Determine that 2.5 is not a natural number because it is not an integer.
Natural Numbers – Natural numbers are the set of positive integers starting from 1, typically represented as {1, 2, 3, ...}.
Integers vs. Natural Numbers – Understanding the distinction between integers (which include negative numbers and zero) and natural numbers (which do not include negative numbers or zero).
Rational Numbers – Recognizing that numbers like 2.5 are rational but not integers or natural numbers.
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