1.Which statement is true about the relationships between the number sets?(1 point)
Responses
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.
All rational numbers are also integers.
All rational numbers are also integers.
Not all natural numbers are real numbers.
2.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 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.
It is an integer but not a whole number.
It is both an integer and a whole number.
3.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)
$
4.Which set of numbers is always rational?(1 point)
Responses
decimals
decimals
fractions
fractions
positive numbers
positive numbers
integers
5.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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6.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)
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7.Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
40−−√ is between
and
.
8.Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 7 and 7.5
between 7 and 7.5
between 8.5 and 9
between 8.5 and 9
between 7.5 and 8
between 7.5 and 8
between 8 and 8.5
9.Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)
The inequality is: 81−−√
8–√8.
10.Write 6,739 in expanded form.(1 point)
Responses
(7×100)+(3×10)+(9×1)
left parenthesis 7 times 100 right parenthesis plus left parenthesis 3 times 10 right parenthesis plus left parenthesis 9 times 1 right parenthesis
(6×1,000)+(7×100)+(3×10)+(9×1)
left parenthesis 6 times 1,000 right parenthesis plus left parenthesis 7 times 100 right parenthesis plus left parenthesis 3 times 10 right parenthesis plus left parenthesis 9 times 1 right parenthesis
(6×1,000)+(7×100)+(3×10)+(0×1)
left parenthesis 6 times 1,000 right parenthesis plus left parenthesis 7 times 100 right parenthesis plus left parenthesis 3 times 10 right parenthesis plus left parenthesis 0 times 1 right parenthesis
(9×1,000)+(3×100)+(7×10)+(6×1)
11.Express 811 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
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12.Convert 0.72¯¯¯¯¯ to a rational number in simplest form.(1 point)
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13.Which of the following is a rational number between 5 and 514?(1 point)
Responses
517
5 Start Fraction 1 over 7 end fraction
26−−√
start root 26 end root
513
5 Start Fraction 1 over 3 end fraction
525
14.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)
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15.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)
anwsers please
1. The correct statement is: Whole numbers include all natural numbers and 0.
2. The correct statement is: It is an integer but not a rational number.
3. The cost of a gallon is $3.39910.
4. The set of numbers that is always rational is fractions.
5. The approximate height of the equilateral triangle is 37.149 meters.
6. The approximate length from one corner to an opposite corner of the square park is 980 feet.
7. 40−−√ is between 6 and 6.5.
8. 58−−√ is between 7 and 7.5.
9. The inequality is: 81−−√ < 8–√8.
10. 6,739 in expanded form is: (6×1,000)+(7×100)+(3×10)+(9×1).
11. 811 as a repeating decimal is: 0.8¯¯¯¯¯¯¯¯.
12. 0.72¯¯¯¯¯ as a rational number in simplest form is: 8/11.
13. A rational number between 5 and 514 is 513.
14. A rational number with a denominator of 7 that is between 7–√ and 8–√ is 7 + 2√3/7.
15. All whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1. However, not all rational numbers are whole numbers. For example, the rational number 2/3 is not a whole number.
Which set of numbers is always rational
The set of numbers that is always rational is fractions.
bot is wrong, i got 7 answers wrong bc of its answers
1. The statement "Whole numbers include all natural numbers and 0" is true.
2. The statement "It is an integer but not a rational number" is true.
3. The cost of a gallon of gas would be $3.39910.
4. The set of numbers that is always rational is fractions.
5. The approximate height of an equilateral triangle with a side length of 8 meters is 8 * 3√2 meters.
6. The approximate length from one corner to an opposite corner of a square park that is 700 feet on a side is 700 * 2–√ feet.
7. The whole number and rational number to the nearest half that √40 is between are 6 and 6.5.
8. The whole number and rational number to the nearest half that √58 is between are 7 and 7.5.
9. The inequality comparing √81 and √8–8 is √81 > √8–8.
10. 6,739 in expanded form is (6 × 1,000) + (7 × 100) + (3 × 10) + (9 × 1).
11. 811 expressed as a repeating decimal is 811.1111....
12. 0.72¯¯¯¯¯ as a rational number in simplest form is 8/11.
13. The rational number between 5 and 514 is 513.
14. A rational number with a denominator of 7 between √7 and √8 is (7/7) + √8/7.
15. Rational numbers include both fractions and whole numbers. However, not all whole numbers are rational numbers. For example, the number π is a rational number, but it is not a whole number. On the other hand, the number 2 is both a rational number and a whole number.