Which statement is true about the relationships between the number sets?(1 point)
Responses
Not all natural numbers are real numbers.
Not all natural numbers are real numbers.
All rational numbers are also integers.
All rational numbers are also integers.
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
Some irrational numbers are also integers.
Some irrational numbers are also integers.
Which of the following is true about −9?(1 point)
Responses
It is a whole number but not an integer.
It is a whole number but not an integer.
It is both an integer and a whole number.
It is both an integer and a whole number.
It is an integer but not a whole number.
It is an integer but not a whole number.
It is an integer but not a rational number.
It is both an integer and a whole number.
A sign in a gas station advertises gas at the rate of $3.39910 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?
The price of gas per gallon, $3.39910, can be written strictly as a decimal by removing the dollar sign and using all of the decimal places provided: 3.39910 dollars per gallon.
The statement that is true about the relationships between the number sets is:
Whole numbers include all natural numbers and 0.
The statement that is true about the relationships between the number sets is: "Whole numbers include all natural numbers and 0."
To understand why this statement is true, let me explain the different number sets:
1. Natural numbers: These are the counting numbers (1, 2, 3, 4, ...). They do not include zero or any negative numbers.
2. Whole numbers: These include all the natural numbers and also include zero (0, 1, 2, 3, 4, ...). They do not include any negative numbers.
3. Integers: These include all the whole numbers and their negatives (-3, -2, -1, 0, 1, 2, 3, ...). Integers include zero, positive numbers, and negative numbers.
4. Rational numbers: These are numbers that can be expressed as a fraction (p/q), where p and q are integers and q is not equal to zero. Rational numbers can be positive, negative, or zero, and they can be whole numbers or fractions (examples: -3, 4/5, 5).
5. Irrational numbers: These are numbers that cannot be expressed as a fraction and do not terminate or repeat as decimals. Examples of irrational numbers include √2, π, and e.
Now, let's come back to the statement. "Whole numbers include all natural numbers and 0." This statement is true because the set of whole numbers consists of all the natural numbers (1, 2, 3, ...) and includes zero (0).