6. The first number 1.23 is called
the coefficient.
It must always be greater than or
equal to 1 and less than 10.
7. The second number is called the base .
It must always be 10 in scientific notation.
The base number 10 is always written in
exponent form.
8. In the number 1.23 x 1011the number 11 is
referred to as the exponent or power of ten.
9. Put the decimal after the
first digit in order to
determine the co-efficient.
In the number
123,000,000,000 The
coefficient will be 1.23
To find the exponent count
the number of decimal
places from the decimal to
the end of the number.
In 123,000,000,000 there
are 11 places. Therefore
we write 123,000,000,000
as:
10. 1) Place decimal point so that you have a
number greater than or equal to one
and less than ten.
2) Count the number of decimal places
the decimal has "moved" from the
original number. This will be the
exponent of the base 10.
11. 4,750,000
use: 4.75
(moved 6 decimal places)
answer:
4.75 X 106
The original
number was
greater than 1 so
the exponent is positive.
12. 1) Convert 439,000 to ________________.
2) Convert 85,000,000 to ______________.
3) Convert 26,000,000,000 to ___________.
4) Convert 2,000,000 to _____________.
5) Convert 53,000,000 to ________________.
13. 1) Move decimal point to
right for positive exponent
of 10—make the number
larger.
2) Move decimal point to left
for negative exponent of
10—make the number
smaller.
14. 6) Convert 3.0 × 106 to ____________.
7) Convert 1 × 108 to ____________.
8) Convert 3.7 × 107 to ___________.
9) Convert 1.3 × 103 to ___________.
10) Convert 2.9 × 109 to _________.
17. Numbers smaller
than 1 will have a
negative exponent.
A millionth of a
second is:
0.000001 sec.
In
scientific
notation:
1.0 x 10-6
18. 0.000789
use: 7.89
(moved 4 decimal places)
answer:
7.89 x 10-4
The original number was less than
1 so the exponent is negative.
Standard to Scientific Notation
19. 1) Move decimal point to
right for positive exponent
of 10—make the number
larger.
2) Move decimal point to left
for negative exponent of
10—make the number
smaller.