SQUARES

1
SQUARES SQUARE ROOTS
2
Squares

• Square of a number Squaring a number means to
  raise a number to the second power.

Example 4² 4 4 16 9² 9 9
81 16² 16 16 256
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Square Roots
The Square Root of a number is the number you can
multiply by itself to give you that number.
Thus, 2, because 224
3, because 329
Try 8, because 8264
12, because 122144 1, because 12
1 0, because 02 0
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Perfect Squares
A Perfect Square is perfect because its square
root is a whole number.
Example is a perfect square because

49
7
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Non-Perfect Squares
A Non-Perfect Square is a number whose square
root is NOT a whole number.
Example is NOT a perfect square
because
40
6.3245
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Approximating Square Roots
You need to estimate its value of non-perfect
squares by determining which two perfect squares
it falls in between.
Example 11 is a non-perfect square 11
falls between perfect squares 9 16
Therefore, is between and Since,
3 and 4 Then is between
3 and 4
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Find the two consecutive numbers the following
non-perfect square fall between. SHOW WORK!

v55  v23 v5  v14 v44
and
Between 7 8
and
Between 4 5
and
Between 2 3
and
Between 3 4
and
Between 6 7
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Answer the following problem SHOW WORK!

1. I am a number. I am not zero. If I am squared,
   Im still the same number. What number am I?

1
9
Answer the following problem SHOW WORK!

1. If a square bedroom has an area of 144 square
   feet, what is the length of one wall?

12 feet
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Answer the following problem SHOW WORK!

1. An artist is making two stained-glass windows.
   One window has a perimeter of 48 inches. The
   other window has an area of 110 inches. Which
   window is bigger?

The window with a perimeter of 48 inches.
11
Answer the following problem SHOW WORK!

1. A square garden has an area of 225 square feet.
   How much fencing will a gardener need to buy in
   order to place fencing around the garden?

60 feet