Scientific Notation and Significant Figures Worksheet 1 with Answer keys

Scientific Notation/Significant Figures

Worksheet 1

1. Convert each of the following into scientific notation.

a) 3427	b) 0.00456	c) 123,453
d) 172	e) 0.000984	f) 0.502
g) 3100.0 x 102	h) 0.0114 x 104	i) 107.2
j) 0.0000455	k) 2205.2	l) 30.0 x 10-2
m) 0.982 x 10-3	n) 0.0473	o) 650.502
p) 3.03 x 10-1	q) 20.4 x 105	r) 1.29
s) 0.00565	t) 1362205.2	u) 450.0 x 103
v) 1000 x 10-3

2. Determine the number of significant figures in each of the following:

a) 3427	b) 0.00456	c) 123,453
d) 172	e) 0.000984	f) 0.502
g) 3100.0 x 102	h) 0.0114 x 104	i) 107.2
j) 0.0000455	k) 2205.2	l) 30.0 x 10-2
m) 0.982 x 10-3	n) 0.0473	o) 650.502
p) 3.03 x 10-1	q) 20.4 x 105	r) 1.29
s) 0.00565	t) 1362205.2	u) 450.0 x 103
v) 1000 x 10-3	w) 546,000 + 10	x) 546,000 + 1000

3. Convert each into decimal form.

1.56 x 104	0.56 x 10-2	3.69 x 10-2	736.9 x 105
0.00259 x 105	0.000459 x 10-1	13.69 x 10-2	6.9 x 104
0.00259 x 103	0.0209 x 10-3

4. Calculate the following.  Give the answer in correct scientific notation.
 a)  4.53 x 10⁵                            b)  1913.0
   + 2.2 x 10⁶                                    -    4.6 x 10³

 c)  2.34 x 10²⁴                           d)    2.130 x 10³
   + 1.92 x 10²³                               -  6.6 x 10²

 e)  9.10 x 10³                             f)    1113.0
   + 2.2 x 10⁶                                    -    14.6 x 10²

 g)  6.18 x 10^-45                           h)    4.25 x 10^-3
   + 4.72 x 10^-44                               -  1.6 x 10^-2


5. Calculate the following.  Give the answer in correct scientific notation.

 a) 3.95 x 10²/1.5 x 10⁶                   b)  (3.5 x 10²)(6.45 x 10¹⁰)

 c) 4.44 x 10⁷ /2.25 x 10⁵                 d)  (4.50 x 10^-12)(3.67 x 10^-12)

 e) 1.05 x 10^-26 /  4.2 x 10⁵⁶             f)  (2.5 x 10⁹)(6.45 x 10⁴)

 g) 6.022 x 10²³ / 3.011 x 10^-56      h)  (6.88 x 10²)(3.45 x 10^-10)


And here is the answer:

Answers - Worksheet 1

Left increase, right decrease


1. Convert each of the following into scientific notation.

a) 3.427 x 103	b) 4.56 x 10-3	c) 1.23453 x 105
d) 1.72 x 102	e) 9.84 x 10-4	f) 5.02 x 10-1
g) 3.1000 x 105	h) 1.14 x 102	i) 1.072 x 102
j) 4.55 x 10-5	k) 2.2052 x 103	l) 3.00 x 10-1
m) 9.82 x 10-4	n) 4.73 x 10-2	o) 6.50502 x 102
p) 3.03 x 10-1	q) 2.04 x 106	r) 1.29 x 100 = 1.29
s) 5.65  x 10-3	t) 1.3622052 x 106	u) 4.500 x 105
v) 1.000 x 100 = 1.000

2. Determine the number of significant figures in each of the following:

a) 4	b) 3	c) 6
d) 3	e) 3	f) 3
g) 5	h) 3	i) 4
j) 3	k) 5	l) 3
m) 3	n) 3	o) 6
p) 3	q) 3	r) 3
s) 3	t) 8	u) 4
v) 4	w) 5	x) 3

3. Convert each into decimal form.

15600 + 100	0.0056	0.0369	73690000 + 10000
259	0.0000459	0.1369	69000 + 1000
2.59	0.0000209

4. Calculate the following.  Give the answer in correct scientific notation.

a)  2.7 x 106	b)  -2.7 x 103
c)  2.53 x 1024	d)  1.47 x 103
e)  2.2 x 106	f)  -3.5 x 102
g)  5.34 x 10-44	h) -1.2 x 10-2

5. Calculate the following.  Give the answer in correct scientific notation.

a) 2.63 x 10-4	b) 2.3 x 1013
c) 1.97 x 102	d) 1.65 x 10-23
e) 2.5 x 10-83	f) 1.6 x 1014
g) 2.000 x 1079	h) 2.37 x 10-7

Scientific Notation and Significant Figures Worksheet 2

Scientific Notation and Significant Figures Worksheet 3