Solution to

Frame 5-23.

a. **2 x10**12

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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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

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