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.
Some irrational numbers are also integers.
Some irrational numbers are also integers.
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
12 answers
Whole numbers include all natural numbers and 0.
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 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.
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 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 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?(1 point)
$
$
$3.40
Which set of numbers is always rational?(1 point)
Responses
decimals
decimals
positive numbers
positive numbers
integers
integers
fractions
Responses
decimals
decimals
positive numbers
positive numbers
integers
integers
fractions
integers
The height of an equilateral triangle equals 3√2 times the side length. Using 74 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?(1 point)
The approximate height can be found by multiplying the side length (8 meters) by the given value (3√2). Substituting 74 for √3, we have:
Height = 8 meters * (3√2) = 8 meters * (3 * 74) ≈ 8 meters * 222 ≈ 1776 meters
The approximate height of the equilateral triangle is 1776 meters.
Height = 8 meters * (3√2) = 8 meters * (3 * 74) ≈ 8 meters * 222 ≈ 1776 meters
The approximate height of the equilateral triangle is 1776 meters.
Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
40−−√ is between
and
.
40−−√ is between
and
.
To find the whole number and rational number that 40−−√ is between, let's consider the number line.
Since the square root of 40 is between 6 and 7, the nearest whole number to 40−−√ would be 6.
To find the nearest half, we need to determine whether 40−−√ is closer to 6 or 7. We can estimate this by considering the midpoint between 6 and 7, which is 6.5. Evaluating 40−−√, we can see that it is closer to 6 than to 7.
So, 40−−√ is between 6 and 6.5.
Since the square root of 40 is between 6 and 7, the nearest whole number to 40−−√ would be 6.
To find the nearest half, we need to determine whether 40−−√ is closer to 6 or 7. We can estimate this by considering the midpoint between 6 and 7, which is 6.5. Evaluating 40−−√, we can see that it is closer to 6 than to 7.
So, 40−−√ is between 6 and 6.5.
The diagonal of a square equals 2–√ times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?
1 answer