Which statement is true about the relationships between the number sets?(1 point)
Responses
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.
Not all natural numbers are real numbers.
Some irrational numbers are also integers.
Some irrational numbers are also integers.
The statement "Whole numbers include all natural numbers and 0" is true.
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 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 rational number.
It is an integer but not a rational number.
The statement "It is both an integer and a whole number" is true about -9.
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)
$
The price of gas per gallon is $3.39910. Thus, a gallon costs $3.39910.
Which set of numbers is always rational?(1 point)
Responses
decimals
decimals
integers
integers
positive numbers
positive numbers
fractions
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)
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The height of an equilateral triangle is given as 3√2 times the side length. Using 74 for the square root of 3, we can substitute these values to find the height.
Height = 3 * √2 * side length
Height ≈ 3 * 74 * 8
Height ≈ 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
To determine the whole number and rational number to the nearest half that 40-√ falls between, we need to find the whole number and rational number that are closest to 40-√ on a number line.
Let's approximate the value of √2 as 1.41.
So, 40-√2 ≈ 40-1.41 = 38.59.
The whole number and rational number to the nearest half that 38.59 falls between are:
- The whole number would be 38.
- The rational number to the nearest half would be 38.5.
Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 8 and 8.5
between 8 and 8.5
between 8.5 and 9
between 8.5 and 9
between 7 and 7.5
between 7 and 7.5
between 7.5 and 8
To determine the whole number and rational number to the nearest half that 58-√ falls between, we need to find the whole number and rational number that are closest to 58-√ on a number line.
Let's approximate the value of √2 as 1.41.
So, 58-√2 ≈ 58-1.41 = 56.59.
The whole number and rational number to the nearest half that 56.59 falls between are:
- The whole number would be 56.
- The rational number to the nearest half would be 56.5.
The Number System Unit Test
9 of 159 of 15 Items
Question
Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)
The inequality is: 81−−√
8–√8.
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To compare the values of 81-√ and 8-√8 using rational approximations, we need to approximate the square roots of both numbers.
Let's approximate √81 as 9 and √8 as 2.83.
So, the inequality statement comparing 81-√ and 8-√8 is:
81-√ > 8-√8.
Express 811 as a repeating decimal. Mark the cycle of repeating digits with a bar
To express 811 as a repeating decimal, we need to divide 811 by the denominator of the fraction. Since 811 is a whole number, we can write it as a fraction with a denominator of 1.
811/1 = 811
Since there is no division or remainder involved, 811 is already expressed as a terminating decimal. It does not have any repeating digits and therefore does not need a bar.
I genuinely give up on this bot
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3. its so annoying