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

The approximate value of √19 can be determined by finding the square root of 19, which falls between the integers 4 and 5.

On a number line, we can plot the integers 4 and 5 and determine the approximate value of √19 by estimating where it falls between these two points. Since 19 is closer to 16 than 25, we can estimate that √19 is closer to the square root of 16, which is 4.

Thus, the approximate value of √19 on the number line is 4.

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

Responses

4.38
4.38

4.5
4.5

4.25
4.25

4.13

4.5

bot Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)

Responses

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
between 11 and 11.5

between 10.5 and 11

between 10.5 and 11

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

Responses

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

48−−√>36−−√
start root 48 end root greater than start root 36 end root

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

49−−√<7

49−−√<7

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

Responses

71 −−−√<61−−√
start root 71 end root less than start root 61 end root

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

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

81−−√<9

71 −−−√<61−−√

bot A company makes hanging ornaments in various shapes. The heights of the ornaments are shown. Using a calculator, order these ornaments from tallest to shortest.

(1 point)
Responses

triangle, square, diamond
triangle, square, diamond

square, diamond, triangle
square, diamond, triangle

square, triangle, diamond
square, triangle, diamond

diamond, square, triangle