FRAME 5-16.
Solution to
In problem "b" of the previous frame, the zero between the four and the
Frame 5-15.
one is not dropped. Only zeroes following the last non-zero digit can be
7
dropped without changing the value of the number.
a. 3.8 x 10
4
However, you may want to round the number to make it easier to use;
b. 4.01 x10
that is, you do not need a high degree of accuracy. For example,
4.01 x 10 4 rounded to the nearest ten-thousand can be expressed as 4
x 10 4.
4
Note: If you rounded 4.01 x 10
to the nearest thousand, you would
also get 4 x 10 4.
a. Change 3,756 to scientific notation. ________________
b. Change 3,756 to scientific notation
rounded to the nearest thousand.
________________
(Hint: Round first, then change to scientific notation.)
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FRAME 5-17.
Solution to
The preceding frames work fine for large numbers, but how about small
Frame 5-16.
numbers, like. 0.000000000065?
3
a. 3.756 x 10
Begin at the decimal point.
3
b. 4 x10
Move the decimal point to the right until it passes the first non-zero
number (the "6"). Count the number of places you are moving the
decimal.
You moved the decimal point 11 places to the right to obtain 6.5.
Therefore "P" equals "-11." Remember, if you move the decimal point to
the right, the exponent will be negative.
0.000000000065 = 6.5 x 10 11 .
Convert the following numbers to scientific notation.
a. 0.0072 _____________
b. 0.101
_____________
c. 3.9
_____________
[Note: Remember that 10 (or any number) raised to the zero power is
"1" and that any number times "1" remains the original number.]
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MD0900
5-10