Approximate the value of each expression shown. Explain your reasoning.
a.√ 38
b. √ 79

a.√ 38  =

b. √ 79 =

Step-by-step explanation:

Here we have , to find Approximate value of each expression shown.

We know that , A square root of a number is a value that, when multiplied by itself, gives the number.  Example: 4 × 4 = 16, so a square root of 16 is 4.  Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root.  Example: √36 = 6 (because 6 x 6 = 36)

a.√ 38

We know that value of √36 = 6 , and here we have √ 38 which value will be slightly greater then 6 Let's find out:

⇒

⇒

b. √ 79

We know that value of √81 = 9 , and here we have √ 79 which value will be slightly less then 9 Let's find out:

⇒

⇒

In order to find approximate value of any square root first find the nearest complete square root for that number i..e for  , we find that √81 = 9 that means will be nearly 9 but slightly less then it and so we can guess that it must be 8.8 or 8.9 something and this is how we guess the approximate value for any square root .

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: