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.

Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.

All rational numbers are also integers.
All rational numbers are also integers.

Some irrational numbers are also integers.

Answers

Which of the following is true about −9?(1 point)
Responses

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 a whole number but not an integer.

It is an integer but 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?(1 point)
Which set of numbers is always rational?(1 point)
Responses

decimals
decimals

positive numbers
positive numbers

fractions
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 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 point)
Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
40−−√ is between
and
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
Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)
The inequality is: 81−−√
8–√8.
Write 6,739 in expanded form.(1 point)
Responses

(9×1,000)+(3×100)+(7×10)+(6×1)

(6×1,000)+(7×100)+(3×10)+(9×1)

(6×1,000)+(7×100)+(3×10)+(0×1)

(7×100)+(3×10)+(9×1)
Express 811 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
Convert 0.72¯¯¯¯¯ to a rational number in simplest form.
Which of the following is a rational number between 5 and 514 ?(1 point)
Responses

517
5 Start Fraction 1 over 7 end fraction

525
5 Start Fraction 2 over 5 end fraction

513
5 Start Fraction 1 over 3 end fraction

26−−√
What is a rational number with a denominator of 7 that is between 7–√ and 8–√ . Write your answer as an improper fraction.(1 point)
Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.(4 points)
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