Problem 1
Question
Is every natural number a whole number?
Step-by-Step Solution
Verified Answer
Explain.
Answer: Yes, every natural number is also a whole number. This is because whole numbers consist of all natural numbers and zero. Natural numbers are the counting numbers starting from 1, while whole numbers include natural numbers and zero, with no fractional or decimal parts. Therefore, all natural numbers are found within the set of whole numbers.
1Step 1: 1. Definition of natural numbers
Natural numbers are the set of counting numbers that start from 1 and go on indefinitely. In other words, they are the numbers that we use to count objects. The set of natural numbers can be represented as {1, 2, 3, 4, 5, 6, ...}.
2Step 2: 2. Definition of whole numbers
Whole numbers are the set of numbers that include natural numbers and zero (0). They are the numbers without fractional or decimal parts and are non-negative. The set of whole numbers can be represented as {0, 1, 2, 3, 4, 5, 6, ...}.
3Step 3: 3. Comparing natural numbers and whole numbers
Comparing the two sets of numbers, we can see that the set of whole numbers contains all the natural numbers and zero. In other words, every natural number is also a whole number. However, the whole numbers also include zero, which is not a natural number.
In conclusion, every natural number is a whole number, but not every whole number is a natural number.
Other exercises in this chapter
Problem 1
Write each of the following using exponents. \(a \cdot a \cdot a \cdot a\)
View solution Problem 1
Fill in the \((\quad)\) with the proper number or letter so as to make the statement true. Use the commutative properties. $$6+5=(\quad)+6$$
View solution Problem 1
Represent the product of 29 and \(x\) five different ways. If we let \(a\) and \(b\) represent two numbers, then \(a\) and \(b\) are related in exactly one of t
View solution Problem 2
For the following problems, simplify the expressions. $$ 9(4-2)+6(8+2)-3(1+4) $$
View solution