Scientific-Notation-and-Significant-Digits-Practice
docx
keyboard_arrow_up
School
College of Saint Rose *
*We aren’t endorsed by this school
Course
MPM2DZA
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
Pages
10
Uploaded by SargentMoleMaster3634
Scientific Notation Practice
1.
In your own words, describe how you convert a decimal number into
scientific notation and vice versa.
2.
Convert each of the following into correct scientific notation
a) 1747
=
b) 0.000984
=
c)
3200. 0 x 10
4
=
d) 256000000
=
e)
563.77 x 10
-4
=
3.
Convert each of the following into decimal form
a)
4.855 x 10
-4
=
b)
9.1 x 10
3
=
c)
2.78 x 10
-2
=
d)
4.119 x 10
4
=
e)
7.991 x 10
-7
=
Significant Digits Practice
Identifying The Number Present
4.
In your own words, write the 5 steps to determine the number of significant
digits.
5.
Determine the number of significant digits in each of the following.
a)
6.7 x 10
4
=
b) 5011
=
c) 00400
=
d) 80.44991
=
e) 2100
=
f)
5.960 x 10
-9
=
g) 0.370
=
h)
91
=
i)
5.70 x 10
4
=
j)
1 x 10
3
=
k) 0.00010
=
l)
4001
=
m) 1.7 x 10
2
=
n) 0.00020
=
o)
6.900 x 10
-4
=
p)
Significant Digits Practice
Addition and Subtraction
6.
In your own words, write out how you correctly round an
addition/subtraction answer to the proper number of significant digits.
7.
Solve the problems to the correct number of significant digits.
a)
6.3 + 92.511 + 54.4993
=
b)
49.865 – 7.4265
=
c)
97.832 + 38.7323 + 7.4
=
d)
52.8172 – 8.6449
=
e)
78.5 + 7.44
=
f)
2.6 + 95.937
=
g)
77.2 + 6.36 + 9.427
=
h)
52.539 + 5.742
=
i)
55.917 + 2.3612 + 8.32
=
j)
6.771 – 2.99
=
k)
84.381 + 2.56
=
l)
15.848 + 71.29 + 2.9246
=
m) 86.861 + 53.95
=
n)
9.363 – 3.4
=
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
o)
4.6423 + 61.4933 + 56.1
=
Significant Digits Practice
Multiplying and Dividing
8.
In your own words, write out how you correctly round a multiplication and
division answer to the proper number of significant digits.
9.
Solve the problems to the correct number of significant digits.
a)
0.003 x 4.926
=
b)
30 / 1.39
=
c)
5 x 0.005
=
d)
0.0022 x 0.046
=
e)
0.003 x 0.092
=
f)
8000 / 23.56
=
g)
0.0030 x 0.07
=
h)
9005 / 3.66
=
i)
0.51 x 163 x 7000
=
j)
46.5 x 0.38
=
k)
7.275 x 0.004 x 5004
=
l)
0.008 x 300 x 407
=
m) 9001 / 57.55
=
n)
48.1 x 6.0 x 6000
=
o)
5700 / 87.92
=
Scientific Notation Practice - Answers
1.
In your own words, describe how you convert a decimal number into
scientific notation and vice versa.
2.
Convert each of the following into correct scientific notation
a)
1747
= 1.747 x 10
3
b)
0.000984
= 9.84 x 10
-4
c)
3200. 0 x 10
4
= 3.2 x 10
7
d)
256000000
= 2.56 x 10
8
e)
563.77 x 10
-4
= 5.6377 x 10
-2
3.
Convert each of the following into decimal form
a)
4.855 x 10
-4
= 0.0004855
b)
9.1 x 10
3
= 9100
c)
2.78 x 10
-2
= 0.0278
d)
4.119 x 10
4
= 41190
e)
7.991 x 10
-7
= 0.0000007991
Significant Digits Practice
Identifying The Number Present - Answers
4.
In your own words, write the 5 steps to determine the number of significant
digits.
5.
Determine the number of significant digits in each of the following.
a)
6.7 x 10
4
= 2
b)
5011
= 4
c)
00400
= 1
d)
80.44991
= 7
e)
2100
= 2
f)
5.960 x 10
-9
= 4
g)
0.370
= 3
h)
91
= 2
i)
5.70 x 10
4
= 3
j)
1 x 10
3
= 1
k)
0.00010
= 2
l)
4001
= 4
m) 1.7 x 10
2
= 2
n)
0.00020
= 2
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
o)
6.900 x 10
-4
= 4
p)
Significant Digits Practice
Addition and Subtraction - Answers
6.
In your own words, write out how you correctly round an
addition/subtraction answer to the proper number of significant digits.
7.
Solve the problems to the correct number of significant digits.
a)
6.3 + 92.511 + 54.4993
= 153.3
b)
49.865 – 7.4265
= 42.439
c)
97.832 + 38.7323 + 7.4
= 144.0
d)
52.8172 – 8.6449
= 44.1723
e)
78.5 + 7.44
= 85.9
f)
2.6 + 95.937
= 98.5
g)
77.2 + 6.36 + 9.427
= 93.0
h)
52.539 + 5.742
= 58.281
i)
55.917 + 2.3612 + 8.32
= 66.60
j)
6.771 – 2.99
= 3.78
k)
84.381 + 2.56
= 86.94
l)
15.848 + 71.29 + 2.9246
= 90.06
m) 86.861 + 53.95
= 140.81
n)
9.363 – 3.4
= 6.0
o)
4.6423 + 61.4933 + 56.1
= 122.2
Significant Digits Practice
Multiplying and Dividing - Answers
8.
In your own words, write out how you correctly round a multiplication and
division answer to the proper number of significant digits.
9.
Solve the problems to the correct number of significant digits.
a)
0.003 x 4.926
= 0.01
b)
30 / 1.39
= 20
c)
5 x 0.005
= 0.03
d)
0.0022 x 0.046
= 0.0001
e)
0.003 x 0.092
= 0.0003
f)
8000 / 23.56
= 300
g)
0.0030 x 0.07
= 0.0002
h)
9005 / 3.66
= 2,460
i)
0.51 x 163 x 7000
= 600,000
j)
46.5 x 0.38
= 18
k)
7.275 x 0.004 x 5004
= 100
l)
0.008 x 300 x 407
= 1,000
m) 9001 / 57.55
= 156.4
n)
48.1 x 6.0 x 6000
= 2,000,000
o)
5700 / 87.92
= 6
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help