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(1.5) Practice. Square Roots. Compare and Order Real Numbers.
Math 8
1) Find each square root.
√
√
√
√
√
√
√
√
√
√
√
√
2) Find the two consecutive whole numbers between which the square root of a given number lies.
Then circle the nearest integer.
√
√
_______ _______
√
√
_______ _______
√
_______ _______
_______ _______
√
_______ _______
_______ _______
Estimate each square root to the nearest tenth. Then graph the square root on a number line.
3.
√
4. √
√
5.
Compare the following numbers using <, >, or = .
6) 15 _____ √
7) √
8) 502% ______ √
9) 11² _______ 1.21
_____
Order the following numbers
 In ascending order.
10) 1.5
, 15%,
12)
̅,
 In descending order.
√
,
̅̅̅̅, √
11)
13) √
√
,
3.2,
, – –, 5.65, – √
,
√
, 6.2 x 10- 4
Evaluate the expression for the given value of x.
14) 14 + √
15) √ – 5.5 when x = 4
when x = 16
Evaluate the expression
√
for the given values:
16)
17)
18)
19)
Area of a square is equal to the square of the length of a side.
20)
A local park is in the shape of a square and
covers an area of 3600 square feet. Find the side
length of the park.
A = s²
21)
You are considering buying a square wall
poster that has an area of 6.25 square feet. Find
the side length of the wall poster.
The formula for the perimeter of a square is P = 4s, where s is the length of a side. Find the perimeter of each
square.
22) Area =
144 square
inches
25) What is √
23)
Area =
49 square
feet
24)
Area =
324 square meters
? Think…what times itself gives you –25? (? · ? = –25) ___________________________