FRAME 5-24.
Solution to
SQUARES AND SQUARE ROOTS
Frame 5-23.
a. 2 x1012
Square
8/4 x 10 7 ( 5) =
2 x 10 7+5
When a number is multiplied by itself, it is said to be "squared." For
example, five times five equals twenty-five. This can be written as
5 x 5 = 25 or as 52 = 25. In the second method, the statement can be
b. 5 x 10 3
4/8 x 10 7 ( 5) =
read as "five to the second power equals twenty-five" or as "five squared
0.5 x 10 7+5 =
equals twenty-five."
5 x 10 1 x 10 2
= 5 x 10 (1+2)
The term "square" comes from the formula for determining the area of a
square, which is s2 (the length of one side of the square multiplied by
c. 1.33 x 10 10
itself). To "square" a number, multiply the number by itself.
4/3 x 10 7 (+3) =
1.3333 x 10 7 + (3) =
Square the following numbers:
1.3333 x 10 (7 + 3)
a. 15
________
b. 0.03
________
c. 1/2
________
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FRAME 5-25.
Solution to
Did you notice that the squares for "b" and "c" above are smaller than the
Frame 5-24.
original number?
a. 225
For positive numbers, the "square" is larger than the original number if
the original number is greater than 1 and is smaller than the original
b. 0.0009
number if the original number is less than 1.
c. 1/4
The square of a negative number will be a ____________ number.
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MD0900
5-14