The prefixes mega, giga, and kilo are metric prefixes. They are used with very large measures. Other prefixes are used with very small measures. The chart shows some metric prefixes.
Scientific
fields and industry use metric units because calculations are easier with
powers of ten. This is also why metric units, based on powers of ten, are
widely used in science.
When you
multiply a number by a power of ten, the nonzero digits in the original number
and the product are the same. Only the position of the decimal point is
different.
These and
similar examples suggest the following rules for multiplying a number by a
power of ten.
Express
each measurement in standard form.
1.
2 megabytes
Alternative Solutions:
.PNG)
2.
3.6 nanoseconds
Alternative Solutions:
When you use
very large numbers like 5,800,000 or very small numbers like 0.000076, it is
difficult to keep track of the place value. Numbers such as these can be
written in scientific
notation.
Follow these steps to write a number in scientific notation.
⦁ First, move the decimal point after the first nonzero digit.
⦁ Then, find the power of ten by counting the decimal places.
⦁ When the number is greater than one, the exponent of 10 is positive.
⦁ When the number is between zero and one, the exponent of 10 is
negative.
Example
Express
each number in scientific notation.
3.
5,800,000
Alternative Solutions:
4.
0.000076 in scientific notation.
Alternative Solutions:
Evaluate
each expression.
5. 400 ×
2,000,000,000
Alternative Solutions:
First
express each number in scientific notation. Then use the Associative and
Commutative Properties to regroup terms.
Alternative Solutions:
Example
Physics
Link
6. The light from a laser beam travels at a speed of 300,000,000 meters per
second. How far does the light travel in 2 nanoseconds? Use the formula d
= rt, where d is the distance in meters, r is the speed of light,
and t is the time in seconds.
Alternative Solutions:
Express 300,000,000 in
scientific notation.
Express 2 nanoseconds in
seconds.
300,000,000 = 3 × 108
and 2 nanoseconds = 2 × 10–9 seconds
The light travels 6 × 10–1 meter,
or 0.6 meter, in 2 nanoseconds.
Sumber
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