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Example of Multiplying Decimals:
Example: 0.45 x 10 = 4.5. Same, while multiplying a decimal through 100, 1000, and 10,000, move the decimal point to the right the similar number of zeros that are in the multiplier.
Example:
0.45 x 100 = 45
0.45 x 1000 = 450
0.45 x 10,000 = 4500
The reverse is true while multiplying by fractions of 10.
0.45 x 0.1 = 0.045
0.45 x 0.01 = 0.0045
0.45 x 0.001 = 0.00045
0.45 x 0.0001 = 0.000045
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Thus, just why do we care regarding direction fields? Two nice pieces of information are there which can be readily determined from the direction field for a differential equation.
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