Using a number line, what is the approximate value of 19−−√?(1 point)

Responses

4.25
4.25

4.13
4.13

4.5
4.5

4.38
4.38

10 answers

To find the approximate value of √19, we can look for the number on the number line that is closest to the square root of 19.

Approximately, √19 is between 4.12 and 4.13 on the number line.

Therefore, the approximate value of √19 is 4.13.

So, the correct answer is 4.13.
Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)
Responses

between 10.5 and 11
between 10.5 and 11

between 10 and 10.5
between 10 and 10.5

between 9.5 and 10
between 9.5 and 10

between 11 and 11.5
To find the whole number and rational number to the nearest half that is closest to √105, we can use a number line.

√105 is approximately between 10 and 11 on the number line.

To find the number to the nearest half, we look for the number that is halfway between 10 and 11, which is 10.5.

Therefore, the whole number and rational number to the nearest half that is closest to √105 is between 10 and 10.5.

So, the correct answer is between 10 and 10.5.
Using rational approximations, what statement is true?(1 point)
Responses

48−−√<36−−√
start root 48 end root less than start root 36 end root

49−−√>7
start root 49 end root greater than 7

49−−√<7
start root 49 end root less than 7

48−−√>36−−√
To compare the values of √48 and √36 using rational approximations, we can find the closest whole numbers that are less than or greater than the square roots.

√48 is approximately between 6 and 7 on the number line, while √36 is exactly equal to 6.

Therefore, the statement that is true is:

√48 > √36

So, the correct answer is 48−−√>36−−√.
Using rational approximations, what statement is true?(1 point)
Responses

71−−√>61−−√
start root 71 end root greater than start root 61 end root

81−−√>9
start root 81 end root greater than 9

81−−√<9
start root 81 end root less than 9

71 −−−√<61−−√
To compare the values of √71 and √61 using rational approximations, we can find the closest whole numbers that are less than or greater than the square roots.

√71 is approximately between 8 and 9 on the number line, while √61 is approximately between 7 and 8 on the number line.

Therefore, the statement that is true is:

√71 > √61.

So, the correct answer is 71−−√>61−−√.
Using rational approximations, what statement is true?(1 point)
Responses

16 −−−√<4
start root 16 end root less than 4

12 −−−√<π
start root 12 end root less than pi

16−−√>4
start root 16 end root greater than 4

12 −−−√ >π
To compare the values of √16 and 4 using rational approximations, we can find the closest whole numbers that are less than or greater than the square roots.

√16 is exactly equal to 4 on the number line.

Therefore, the statement that is true is:

√16 = 4

So, the correct answer is 16−−√=4.
(Q) Using a number line, what is the approximate value of √19?
(A) 4.38

(Q) Using a number line, what whole number and rational number to the nearest half is √105 between?
(A) between 10 and 10.5)

(Q) Using ration approximations, what statement is true?
(A) √48 > √36

(Q) Using ration approximations, what statement is true?
(A) √71 > √61

(Q) Using ration approximations, what statement is true?
(A) √12 > π
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