10/3/2016
Prebell
1. A square has an area of 2704 in2. What is the
length of one side of the square?
Review
Classify in as many ways
as possible.
1. 14.904
2.
2. Bob wants to make a square mosaic with the
leftover square tiles he has from a project. If
he has 230 tiles, what are the dimensions of
the largest square he can make?
74 = 8.602325267 …
6.
1 2
𝑥
2
2
3
+ =
8
9
−49
3. −
28
4
4. − 225
5.
78
3
Estimating Square Roots
• We can use our knowledge of perfect squares
to estimate irrational numbers.
Solve.
Non-perfect Squares
• What number would we need to square to
equal 11?
• How could we estimate this number?
• Between which two perfect squares would
you find 11?
•
11 is between the
•
11 is between the roots _____and _____.
and
.
Find the value of each square root. If
it is not a whole number, tell what two
numbers it is between.
361
81
67
128
32
225
54
289
265
196
324
175
154
So 154 must be between ______ and ______.
1
10/3/2016
Decimal Expansion
2
9
Change 15 to a decimal.
• In order to compare or order numbers, we
need to change them all to decimals first.
• To change a fraction to a decimal, we have to
divide the numerator by the denominator.
Ex:
9
11
is equivalent to 9 ÷ 11
Change 6 5 to a decimal.
Estimate 245. Write your answer as
a decimal. Round to the nearest tenth.
Estimate 72. Write your answer as a
decimal. Round to the nearest tenth.
Compare 5 9 and 30.
4
2
2
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1
Compare 243 and 15 8.
Order 9, 9 2 , 90, and 9𝜋 from least
to greatest.
Order 44, −4, 16, and −4𝜋 from
least to greatest.
7
, (−2)2 , 5, 2.5, −2.2
2
7
8
12, − 4, 18, − ,
3
3