Name :
Score :
Scientific Notation
Simplify and express in scientific notation:
Example 2
Example 1
(6 × 103) (2 × 105)
18 × 106
4 × 104
(6 × 103) (2 × 105) = 12 × 103 × 105
= 18 × 106 × 10ˉ4
4
=
= 12 × 108
4.5 × 102
= 1.2 × 109
Simplify each problem and express the answer in scientific notation.
1) (7 × 108) (9 × 106)
2) 3 × 104
8 × 10
Answer :
Answer :
3) 4 × 109
5× 107
4) (2 × 103) (3 × 104)
Answer :
5) (3 × 107) (9 × 106)
Answer :
7)
9 × 105
10 × 103
Answer :
Answer :
6)
4 × 105
16 × 102
Answer :
8) (11 × 104) (7 × 102)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
Name :
Score :
Scientific Notation
Simplify and express in scientific notation:
Example 1
Example 2
(2 × 104) + (3 × 105)
(7 × 108) – (4 × 106)
= (2 × 104) + (3 × 104) × 10
= (7 × 106) × 102 – (4 × 106)
= (2 × 104) + (30 × 104)
= (700 × 106) – (4 × 106)
= 32 × 104
= 696 × 106
= 3.2 × 105
= 6.96 × 108
Simplify each problem and express the answer in scientific notation.
1) (2 × 103) + (5 × 105)
Answer :
3) (8 × 109) – (3 × 107)
Answer :
5) (4 × 102) + (7 × 103)
Answer :
7) (1 × 106) – (8 × 104)
Answer :
2) (4 × 108) – (9 × 107)
Answer :
4) (5 × 107) + (1 × 106)
Answer :
6) (9 × 105) – (6 × 104)
Answer :
8) (5 × 109) + (3 × 108)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
Name :
Score :
Answer key
Simplify and express in scientific notation:
Example 1
Example 2
(2 × 104) + (3 × 105)
(7 × 108) – (4 × 106)
= (2 × 104) + (3 × 104) × 10
= (7 × 106) × 102 – (4 × 106)
= (2 × 104) + (30 × 104)
= (700 × 106) – (4 × 106)
= 32 × 104
= 696 × 106
= 3.2 × 105
= 6.96 × 108
Simplify each problem and express the answer in scientific notation.
1) (2 × 103) + (5 × 105)
Answer :
5.02 × 105
3) (8 × 109) – (3 × 107)
Answer :
7.97 × 109
5) (4 × 102) + (7 × 103)
Answer :
7.4 × 103
7) (1 × 106) – (8 × 104)
Answer :
0.92 × 106
2) (4 × 108) – (9 × 107)
Answer :
3.1 × 108
4) (5 × 107) + (1 × 106)
Answer :
5.1 × 107
6) (9 × 105) – (6 × 104)
Answer :
8.4 × 105
8) (5 × 109) + (3 × 108)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
5.3 × 109
Name :
Score :
Scientific Notation
Simplify and express in scientific notation:
Example 1
Example 2
(1.2 × 102) + (3.04 × 105)
(5.54 × 10ˉ6) – (2.32 × 10ˉ8)
= (1.2 × 102) + (3.04 × 102) × 103
= (5.54 × 10ˉ8) × 102 – (2.32 × 10ˉ8)
= (1.2 × 102) + (3040 × 102)
= (554 × 10ˉ8) – (2.32 × 10ˉ8)
= 3041.2 × 102
= 551.68 × 10ˉ8
= 3.0412 × 105
= 5.5168 × 10ˉ6
Simplify each problem and express the answer in scientific notation.
1) (2.3 × 104) + (4.16 × 107)
Answer :
3) (6.07 × 10ˉ1) – (4.52 × 10ˉ2)
Answer :
5) (5.692 × 10ˉ4) + (8.8 × 10ˉ5)
Answer :
7) (9.18 × 109) – (3.9 × 106)
Answer :
2) (9.4 × 102) + (3.8 × 10ˉ1)
Answer :
4) (7.98 × 107) – (1.24 × 105)
Answer :
6) (4.6 × 102) – (2 × 10ˉ2)
Answer :
8) (1.7 × 10ˉ1) + (6.504 × 102)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
Name :
Score :
Answer key
Simplify and express in scientific notation:
Example 1
Example 2
(1.2 × 102) + (3.04 × 105)
(5.54 × 10ˉ6) – (2.32 × 10ˉ8)
= (1.2 × 102) + (3.04 × 102) × 103
= (5.54 × 10ˉ8) × 102 – (2.32 × 10ˉ8)
= (1.2 × 102) + (3040 × 102)
= (554 × 10ˉ8) – (2.32 × 10ˉ8)
= 3041.2 × 102
= 551.68 × 10ˉ8
= 3.0412 × 105
= 5.5168 × 10ˉ6
Simplify each problem and express the answer in scientific notation.
1) (2.3 × 104) + (4.16 × 107)
Answer :
4.1623 × 107
3) (6.07 × 10ˉ1) – (4.52 × 10ˉ2)
Answer :
5.618 × 10ˉ1
5) (5.692 × 10ˉ4) + (8.8 × 10ˉ5)
Answer :
6.572 × 10ˉ4
7) (9.18 × 109) – (3.9 × 106)
Answer :
9.1761 × 109
2) (9.4 × 102) + (3.8 × 10ˉ1)
Answer :
9.4038 × 102
4) (7.98 × 107) – (1.24 × 105)
Answer :
7.9676 × 107
6) (4.6 × 102) – (2 × 10ˉ2)
Answer :
4.5998 × 102
8) (1.7 × 10ˉ1) + (6.504 × 102)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
6.5057 × 102
Name :
Score :
Scientific Notation
Simplify and express in scientific notation:
Example 1
Example 2
(6 × 102) + (5 × 105)
(3 × 10ˉ3) – (2 × 10ˉ6)
= (6 × 102) + (5 × 102) × 103
= (3 × 10ˉ6) × 103 – (2 × 10ˉ6)
= (6 × 102) + (5000 × 102)
= (3000 × 10ˉ6) – (2 × 10ˉ6)
= 5006 × 102
= 2998 × 10ˉ6
= 5.006 × 105
= 2.998 × 10ˉ3
Simplify each problem and express the answer in scientific notation.
1) (3 × 10ˉ2) – (6 × 10ˉ5)
Answer :
3) (7 × 107) + (4 × 104)
Answer :
5) (5 × 106) – (8 × 103)
Answer :
7) (3 × 10ˉ9) + (5 × 10ˉ5)
Answer :
2) (8 × 103) + (5 × 10ˉ1)
Answer :
4) (9 × 10ˉ5) – (6 × 10ˉ7)
Answer :
6) (6 × 10ˉ7) + (7 × 10ˉ4)
Answer :
8) (2 × 108) – (4 × 105)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
Name :
Score :
Answer key
Simplify and express in scientific notation:
Example 1
Example 2
(6 × 102) + (5 × 105)
(3 × 10ˉ3) – (2 × 10ˉ6)
= (6 × 102) + (5 × 102) × 103
= (3 × 10ˉ6) × 103 – (2 × 10ˉ6)
= (6 × 102) + (5000 × 102)
= (3000 × 10ˉ6) – (2 × 10ˉ6)
= 5006 × 102
= 2998 × 10ˉ6
= 5.006 × 105
= 2.998 × 10ˉ3
Simplify each problem and express the answer in scientific notation.
1) (3 × 10ˉ2) – (6 × 10ˉ5)
Answer :
2.994 × 10ˉ2
3) (7 × 107) + (4 × 104)
Answer :
7.004 × 107
5) (5 × 106) – (8 × 103)
Answer :
4.992 × 106
7) (3 × 10ˉ9) + (5 × 10ˉ5)
Answer :
5.0003 × 10ˉ5
2) (8 × 103) + (5 × 10ˉ1)
Answer :
8.0005 × 103
4) (9 × 10ˉ5) – (6 × 10ˉ7)
Answer :
8.94 × 10ˉ5
6) (6 × 10ˉ7) + (7 × 10ˉ4)
Answer :
7.006 × 10ˉ4
8) (2 × 108) – (4 × 105)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
1.996 × 108
Name :
Score :
Teacher :
Date :
Find the length of the third side of each triangle.
15
20
20
21
14
48
12
16
Math-Aids.Com
Name :
Score :
Teacher :
Date :
Find the length of the third side of each triangle.
15
2
225
2
+
20 = c
+
400 = c
625 = c
2
2
2
625 = c
25 = c
15
20
20
2
400
2
+
21 = c
+
441 = c
841 = c
2
2
2
841 = c
29 = c
20
21
14
2
196
2
+
48 = c
+
2304 = c
2500 = c
2
2
2
2500 = c
50 = c
14
48
12
144
2
2
+
16 = c
+
256 = c
400 = c
2
2
2
400 = c
20 = c
12
16
Math-Aids.Com
Name :
Score :
Scientific Notation
Simplify and express in scientific notation:
Example 2
Example 1
(5 × 106) (7 × 109)
9 × 108
=
8 × 10ˉ2
(5 × 106) (7 × 109) = 35 × 106 × 109
= 35 × 1015
9
× 108 × 102
8
= 1.125 × 1010
= 3.5 × 1016
Simplify each problem and express the answer in scientific notation.
1) (2 × 107) (9 × 10ˉ3)
2) 15 × 10ˉ5
4 × 10ˉ7
Answer :
Answer :
3)
15 × 10ˉ7
16 × 10ˉ5
4) (9 × 108) (7 × 105)
Answer :
Answer :
5) (8 × 10ˉ7) (3 × 10ˉ6)
Answer :
7) 4 × 108
1 × 104
Answer :
6)
7 × 10ˉ3
16 × 102
Answer :
8) (4 × 103) (4 × 107)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
Name :
Score :
Answer key
Simplify and express in scientific notation:
Example 2
Example 1
(5 × 106) (7 × 109)
9 × 108
=
8 × 10ˉ2
(5 × 106) (7 × 109) = 35 × 106 × 109
= 35 × 1015
9
× 108 × 102
8
= 1.125 × 1010
= 3.5 × 1016
Simplify each problem and express the answer in scientific notation.
1) (2 × 107) (9 × 10ˉ3)
Answer :
3)
1.8 × 105
15 × 10ˉ7
16 × 10ˉ5
Answer :
0.9375 × 10ˉ2
2.4 × 10ˉ12
7) 4 × 108
1 × 104
Answer :
Answer :
3.75 × 102
4) (9 × 108) (7 × 105)
5) (8 × 10ˉ7) (3 × 10ˉ6)
Answer :
2) 15 × 10ˉ5
4 × 10ˉ7
Answer :
6)
6.3 × 1014
7 × 10ˉ3
16 × 102
Answer :
0.4375 × 10ˉ5
8) (4 × 103) (4 × 107)
0.4× 105
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
1.6 × 1011
Name :
Score :
Scientific Notation
Simplify and express in scientific notation:
Example 2
Example 1
2.5 × 106
=
0.5 × 103
2.5
× 106 × 10ˉ3
0.5
(3.5 × 104) (0.4 × 10ˉ7)
(3.5 × 104) (0.4 × 10ˉ7) = 1.4 × 104 × 10ˉ7
= 5 × 103
= 1.4 × 10ˉ3
Simplify each problem and express the answer in scientific notation.
1) 8.14 × 102
2 × 104
Answer :
3) 0.24 × 105
0.5 × 10ˉ7
Answer :
5) (3.7 × 10ˉ2) (6.4 × 10ˉ6)
Answer :
7) 2.78 × 10ˉ3
0.8 × 10ˉ2
Answer :
2) (0.6 × 103) (1.4 × 105)
Answer :
4) (4.02 × 107) (0.9 × 10ˉ4)
Answer :
6) 5.10 × 109
0.6 × 10ˉ6
Answer :
8) (0.2 × 10) (7.2 × 105)
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
Name :
Score :
Answer key
Simplify and express in scientific notation:
Example 2
Example 1
2.5 × 106
=
0.5 × 103
2.5
× 106 × 10ˉ3
0.5
(3.5 × 104) (0.4 × 10ˉ7)
(3.5 × 104) (0.4 × 10ˉ7) = 1.4 × 104 × 10ˉ7
= 5 × 103
= 1.4 × 10ˉ3
Simplify each problem and express the answer in scientific notation.
1) 8.14 × 102
2 × 104
Answer :
2) (0.6 × 103) (1.4 × 105)
4.07 × 10ˉ2
3) 0.24 × 105
0.5 × 10ˉ7
Answer :
0.48 × 1012
23.68 × 10ˉ8
7) 2.78 × 10ˉ3
0.8 × 10ˉ2
Answer :
0.84 × 108
4) (4.02 × 107) (0.9 × 10ˉ4)
5) (3.7 × 10ˉ2) (6.4 × 10ˉ6)
Answer :
Answer :
Answer :
3.618 × 103
6) 5.10 × 109
0.6 × 10ˉ6
Answer :
8.5 × 1015
8) (0.2 × 10) (7.2 × 105)
3.475× 10ˉ1
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
1.44 × 106
Name :
Score :
Answer key
Simplify and express in scientific notation:
Example 2
Example 1
(6 × 103) (2 × 105)
18 × 106
4 × 104
(6 × 103) (2 × 105) = 12 × 103 × 105
= 18 × 106 × 10ˉ4
4
=
= 12 × 108
4.5 × 102
= 1.2 × 109
Simplify each problem and express the answer in scientific notation.
1) (7 × 108) (9 × 106)
Answer :
6.3 × 1015
3) 4 × 109
5× 107
Answer :
7)
0.8 × 102
2.7 × 1014
9 × 105
10 × 103
Answer :
Answer :
0.375 × 103
4) (2 × 103) (3 × 104)
5) (3 × 107) (9 × 106)
Answer :
2) 3 × 104
8 × 10
Answer :
6)
0.6 × 108
4 × 105
16 × 102
Answer :
0.25 × 103
8) (11 × 104) (7 × 102)
0.9 × 102
Answer :
Printable Math Worksheets @ www.mathworksheets4kids.com
7.7 × 107