4.7 Notes Scientific Notation
Name: ____________________________
Scientific Notation: A number in scientific notation is written as the product of two
factors in the form:
a  10 n
where “n” is an integer and
1  a < 10
Write the following in scientific notation
a)
301,200,000,000
b)
15,000
c)
870,000
d)
.0000000578
e)
.000967
f)
.003456
g)
20,100,000
h)
.0000333
i)
.00000404
j.) The retina has 120,000 rods. Write this number in scientific notation.
k.) The thickness of the human retina is 0.00012 meter. Write this number in scientific notation.
Write the following in standard form.
a)
9.013 x 10 8
b)
d)
3.48 x 10 10
e)
2.3 x 10
9
2.45 x 10-3
c)
2.345 x 10 7
f)
1.123 x 106
g)
An earthquake of magnitude 8 on the Richter scale releases the equivalent energy of
5.643 x 106 metric tons of explosive. Write this number in standard form.
h.) A computer chip can be as small as 5 x 10-7. Write this number in standard form.
4.7 Notes Scientific Notation
Name: ____________________________
Compare using <, > or =.
1.) 4.61 x 103___ 461,000
2.) 84,200 ____ 8.42 x 104
3.) 3.4 x 10-5 ____ 4.2 x 10-3
4.) 0.00642 ____ 6.42 x 10-4
Order the numbers least to greatest.
1)
2.4 × 105 ; 3.3 × 104 ; 49,000
2)
8.16 × 106 ; 635,000; 4.08 × 105
3)
0.00017; 1.9 × 10−4 ; 2.8 × 10−3
4)
7.8 × 10−3 ; 7.9 × 10−3 ; 0.00056
5)
3.9 × 106 ; 3,800,000; 4.2 × 105