Which statement is true about the relationships between the number sets?
Some irrational numbers are also integers.
Some irrational numbers are also integers.
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.
Not all natural numbers are real numbers.
The statement "Whole numbers include all natural numbers and 0" is true. The rest of the statements are false:
- It is not true that some irrational numbers are also integers. Irrational numbers cannot be expressed as a fraction or ratio of two integers.
- All rational numbers are not integers. Rational numbers can be expressed as fractions, but they do not necessarily have to be whole numbers.
- Not all natural numbers are real numbers. Natural numbers (also called counting numbers) are a subset of the real numbers, but the real numbers also include irrational numbers and rational numbers that are not natural numbers.
Which of the following is true about −9?(1 point)
Responses
It is an integer but not a rational number.
It is an integer but not a rational number.
It is both an integer and a whole number.
It is both an integer and a whole number.
It is a whole number but not an integer.
It is a whole number but not an integer.
It is an integer but not a whole number.
The statement "It is an integer but not a rational number" is true about -9. An integer is a whole number that can be positive, negative, or zero, while a rational number can be expressed as a fraction or ratio of two integers. Since -9 can be written as the fraction -9/1, it is not a rational 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?
Writing the price strictly as a decimal, the cost of a gallon would be $3.39910.
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 write the price strictly as a decimal, we need to convert the fraction 9/10 to its decimal equivalent.
To do this, we divide the numerator (9) by the denominator (10):
9 ÷ 10 = 0.9
So, the price of a gallon would be $3.39 + 0.9 = $3.39.
Therefore, the cost of a gallon, writing the price strictly as a decimal, is $3.39.