Which statement is true about the relationships between the number sets?
Not all natural numbers are real numbers.
Not all natural numbers are real numbers.
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.
All rational numbers are also integers.
All rational numbers are also integers.
None of the statements are true.
The first statement is false because all natural numbers are indeed real numbers.
The second statement is also false because whole numbers do not include negative numbers. They only include natural numbers and zero.
The third statement is true. Irrational numbers are numbers that cannot be expressed as a fraction or a decimal, and integers are numbers that can be expressed as whole numbers or their negatives. So, there are some irrational numbers that are also integers, such as √4 = 2.
The fourth statement is false. Rational numbers are numbers that can be expressed as a fraction. Integers are a subset of rational numbers, but not all rational numbers are integers. For example, 1/2 is a rational number but not an integer.
wrong, don't whole numbers include all natural numbers and 0?
Apologies for the confusion in my previous response. You are indeed correct.
The statement "Whole numbers include all natural numbers and 0" is true. Whole numbers are a set that includes all the natural numbers (positive counting numbers), along with zero. Therefore, every natural number is also a whole number.
Which of the following is true about −9?(1 point)
Responses
It is an integer but not a whole number.
It is an integer but not 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 rational number.
It is an integer but not a rational number.
It is both an integer and a whole number.
The correct statement is: "It is an integer but not a whole number."
The number -9 is an integer because it can be expressed as a whole number along with its negative counterpart. However, it is not a whole number because whole numbers only include non-negative integers and zero.
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?
To write the price strictly as a decimal, we need to remove the dollar sign.
The price of gas is given as $3.39910 per gallon.
Therefore, a gallon of gas costs 3.39910 dollars when written strictly as a decimal.
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 into a decimal.
To do this, we divide the numerator (9) by the denominator (10):
9 ÷ 10 = 0.9
Now, we can write the price strictly as a decimal:
$3.39 9/10 = $3.39 + $0.9 = $3.39 + $0.90 = $3.39 + $0.90 = $4.29
Therefore, a gallon of gas costs $4.29 when written strictly as a decimal.