Which statement is true about the relationships between the number sets?

1. Whole numbers include all natural numbers and 0
2. Some irrational numbers are also integers
3. All rational numbers are also integers
4. Not all natural numbers are real numbers

7 answers

The statement that is true about the relationships between the number sets is:

4. Not all natural numbers are real numbers.
Which of the following is true about -9 ?

1. It is both an integer and a whole number
2. It is an integer but not a rational number
3. It is a whole number but not an integer
4. It is an integer but not a whole number
The statement that is true about -9 is:

1. It is both an integer and a whole number.
A sign in a gas station advertises gas at the rate of $3.39 9/10 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?
To convert the mixed number $3.39 9/10 to a decimal, we can add the whole number part (3) to the decimal part (0.39) plus the fraction (9/10).

Using the fraction, we divide 9 by 10 to get 0.9.

Adding 0.39 and 0.9 gives us 1.29.

Therefore, a gallon of gas costs $3.29 as a decimal.
Which set of number is always rational?

1. Integers
2. Positive numbers
3. Fractions
4. Decimals
The set of numbers that is always rational is:

3. Fractions.

A fraction can always be expressed as the ratio of two integers, making it a rational number.