SCIENTIFIC NOTATION

The steps for writing scientific notation are
rather simple. Let's go over them by actually
changing numbers into scientific notation.
The distance between Earth and Neptune is 4,600,000,000,000 meters.
That is a very large number! How do we put it in
scientific notation?

Step 1:
Place the decimal
point after the first whole
number digit and drop the
zeros. The number "4" is the
first whole number.

4.6 
REMEMBER: Correct scientific notation has a
coefficient that is less than 10 and greater than
or equal to 1. That coefficient is then multiplied
by a power of ten.

Step 2:
Find the
exponent. To do this,
count the number of
places from the new
decimal point to the end
of the number. This
decimal point is 12
places from the end of
the number (or where
the decimal was
originally).

4.6
New decimal Original decimal
point point

Step 3:
Rewrite the
number (coefficient) by
multiplying it by a
power of ten.

(4.6 x 10) 4.6 x 10^{12 }
The distance from Earth to Neptune is
4.6 x 10^{12}
meters.

Can you place these measurements into
scientific notation????
1. 7000,000,000 m
2. 0.00073 kg
3. 60,300 L
4. 0.00000000005 km
5. 8,200,000 g
Write the following measurements in long form:
1. 4.7 x 10^{3}
2. 6.05 x 10^{3}
3. 2.77 x 10^{6}
4. 1.9 x 10^{8}
5. 5.0 x 10^{5}
