Which numbers are both integers and irrational numbers?(1 point)

Responses

zero
zero

none
none

negative integers
negative integers

square roots of integers
square roots of integers

None

ty its correct

Temperature measurements may call for negative numbers.

Finding the side length of a square based on the area is most likely to involve irrational numbers.

A fraction with π as the numerator or denominator is considered an irrational fraction.

3√ × 3√ is rational.

Apologies for the error. You are correct. The best estimate for 3 times pi is 9 and 3/7, which is represented as 9⅓ or 9 3/7. Therefore, the correct response is "937". Thank you for pointing that out.

The approximate value of √39 on a number line is 6.25. Therefore, the correct response is "6.25".

You're welcome! If you have any more questions, feel free to ask.

Question

Which of the following may call for negative numbers?(1 point)
Responses

street addresses
street addresses

page numbers of a book
page numbers of a book

lengths of time
lengths of time

temperature measurements

Which real-world problem is most likely to involve irrational numbers?(1 point)

Responses

finding the side length of a square based on the area
finding the side length of a square based on the area

finding the total cost of filling up a car’s tank based on the price per gallon
finding the total cost of filling up a car’s tank based on the price per gallon

finding the diameter of a circle based on the radius
finding the diameter of a circle based on the radius

finding the width of a rectangle based on the area and the length

What kind of fraction is irrational?(1 point)

Responses

a fraction with a negative integer as the numerator
a fraction with a negative integer as the numerator

a fraction with 0 in the numerator
a fraction with 0 in the numerator

a fraction with π
as the numerator or denominator
a fraction with pi as the numerator or denominator

an improper fraction
an improper fraction

Which of the following is rational?(1 point)

Responses

3–√+3–√
Start Root 3 End Root plus Start Root 3 End Root

13√
Start Fraction 1 over Start Root 3 End Root End Fraction

3–√ ×3–√
Start Root 3 End Root times Start Root 3 End Root

3√1
Start Fraction Start Root 3 End Root over 1 End Fraction

Question

Which is the best estimate for 3 times pi?(1 point)
Responses

647
6 Start Fraction 4 over 7 End Fraction

637
6 Start Fraction 3 over 7 End Fraction

917
9 Start Fraction 1 over 7 End Fraction

937
9 Start Fraction 3 over 7 End Fraction

the real answer is 9 3/7

Using a number line, what is the approximate value of 39−−√

?(1 point)
Responses

6.42
6.42

6.33
6.33

6.17
6.17

6.25

Using rational approximations, what statement is true?(1 point)

Responses

3>9–√
3 greater than start root 9 end root

π>9–√
pi greater than start root 9 end root

3<9–√
3 less than start root 9 end root

π<9–√
pi less than start root 9 end root

Using rational approximations, the statement "π < √9" is true. This is because π is approximately 3.14, while √9 is exactly 3. Therefore, π is less than √9.

The best estimate for 3 times pi is 9 and 1/7, which is represented as 9⅙ or 9 1/7. Therefore, the correct response is "917".