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AScientific NotationA N S W E R K E Y
Copyright ©2011 WorksheetWorks.com
Convert each of the numbers from scientific notation to real.
2.25 B 102
( 1 )
5.88 B 103
( 2 )
7.74 B 10-4
( 3 )
2.2 B 100
( 4 )
4.33 B 102
( 5 )
4.85 B 101
( 6 )
7.79 B 104
( 7 )
3.93 B 10-2
( 8 )
6.17 B 101
( 9 )
8.6 B 104
(10)
1.96 B 101
(11)
4.36 B 100
(12)
1.14 B 102
(13)
8.02 B 100
(14)
9.36 B 100
(15)
2.64 B 100
(16)
5,880
0.000774
2.2
433
48.5
77,900
0.0393
61.7
86,000
19.6
4.36
114
8.02
9.36
2.64
225
Convert each of the numbers from real to scientific notation.
6.36(17)
0.00846(18)
0.00747(19)
0.000551(20)
2.97(21)
35(22)
7,930(23)
0.782(24)
0.131(25)
42,400(26)
0.988(27)
0.00913(28)
71,800(29)
114(30)
8.46 B 10-3
7.47 B 10-3
5.51 B 10-4
2.97 B 100
3.5 B 101
7.93 B 103
7.82 B 10-1
1.31 B 10-1
4.24 B 104
9.88 B 10-1
9.13 B 10-3
7.18 B 104
1.14 B 102
6.36 B 100
AScientific NotationA N S W E R K E Y
Copyright ©2011 WorksheetWorks.com
Convert each of the numbers from scientific notation to real.
1.5155 B 102
( 1 )
5.866 B 10-1
( 2 )
1.0744 B 100
( 3 )
1.151 B 101
( 4 )
1.7244 B 10-6
( 5 )
1.8626 B 101
( 6 )
1.9919 B 10-6
( 7 )
1.4061 B 104
( 8 )
9.443 B 102
( 9 )
1.3432 B 10-1
(10)
2.403 B 10-3
(11)
1.9035 B 105
(12)
1.804 B 106
(13)
1.2775 B 10-1
(14)
5.25 B 105
(15)
1.074 B 105
(16)
0.5866
1.0744
11.51
0.0000017244
18.626
0.0000019919
14,061
944.3
0.13432
0.002403
190,350
1,804,000
0.12775
525,000
107,400
151.55
Convert each of the numbers from real to scientific notation.
1,038.8(17)
8,071(18)
0.00015657(19)
1,496,400(20)
10.46(21)
0.002296(22)
6,224(23)
73,900(24)
4.38(25)
1,274.8(26)
0.08575(27)
1.0369(28)
0.68(29)
0.0000775(30)
8.071 B 103
1.5657 B 10-4
1.4964 B 106
1.046 B 101
2.296 B 10-3
6.224 B 103
7.39 B 104
4.38 B 100
1.2748 B 103
8.575 B 10-2
1.0369 B 100
6.8 B 10-1
7.75 B 10-5
1.0388 B 103
AScientific NotationA N S W E R K E Y
Copyright ©2011 WorksheetWorks.com
Convert each of the numbers from scientific notation to real.
3.256 B 10-8
( 1 )
7.2284 B 10-5
( 2 )
5.3228 B 10-2
( 3 )
9.4904 B 10-3
( 4 )
1.259 B 101
( 5 )
1.4346 B 106
( 6 )
9.8944 B 10-6
( 7 )
9.3387 B 102
( 8 )
2.0992 B 10-7
( 9 )
7.0628 B 105
(10)
9.4014 B 105
(11)
6.2173 B 10-3
(12)
5.9328 B 10-8
(13)
5.5386 B 10-8
(14)
4.4061 B 10-8
(15)
6.962 B 10-5
(16)
0.000072284
0.053228
0.0094904
12.59
1,434,600
0.0000098944
933.87
0.00000020992
706,280
940,140
0.0062173
0.000000059328
0.000000055386
0.000000044061
0.00006962
0.00000003256
Convert each of the numbers from real to scientific notation.
438.03(17)
544,020,000(18)
0.44447(19)
0.00005042(20)
0.00022812(21)
0.0018251(22)
0.02269(23)
529,380(24)
0.000000027155(25)
5.578(26)
167.29(27)
18,200,000(28)
0.0014217(29)
0.0000039767(30)
5.4402 B 108
4.4447 B 10-1
5.042 B 10-5
2.2812 B 10-4
1.8251 B 10-3
2.269 B 10-2
5.2938 B 105
2.7155 B 10-8
5.578 B 100
1.6729 B 102
1.82 B 107
1.4217 B 10-3
3.9767 B 10-6
4.3803 B 102
24 / Basic Skills in Chemistry
Exponential Notation Teacher Notes
1. Explanation of Levels
L e v e l 1: A l l p r o b l e m s i n v o l v e e x a c t p o w e r s o f t e n o r n u m b e r s h a v
i n g o n l y o n e n o n - z e r o d i g i t ; m u l t i p l i c a t i o n p r o b l e m s o n l y
i n c l u d e d .
Leve l 2: P r o b l e m s i n v o l v e m o r e t h a n o n e n o n - z e r o d i g i t ; b o t h m u l t i p l i
c a t i o n a n d d i v i s i o n p r o b l e m s i n c l u d e d .
Leve l 3: P r o b l e m s o f a l l l e v e l s o f c o m p l e x i t y , i n c l u d i n g s o m e u n u s u a l
n u m b e r s t o b e e x p r e s s e d in e x p o n e n t i a l n o t a t i o n ( e . g . , 1 ) ;
m u l t i p l i c a t i o n , d i v i s i o n , a n d c o m b i n a t i o n p r o b l e m s ; p r o b l e m s
i n v o l v i n g n o n - s t a n d a r d f o r m o f e x p o n e n t i a l n o t a t i o n .
2 . Answers
L e v e M : 1 . a. 10^; b. 10"^; c. 101°; d . lO ' i s ; e. 4 X 1 0 5 ; f. 5 X 1 0 ^ 4 ;
g . 8 X 10-8; h. 9 X 10-13; i. 7 X 103; j . 4 x 10-3
2. a. 1000 ; b. 0 . 0 0 0 , 0 1 ; c. 1 0 0 , 0 0 0 , 0 0 0 , 0 0 0 , 0 0 0 ; d . 0 . 0 1 ;
e. 7 0 , 000 ; f. 0 . 000 , 005 ; g . 0 . 0 0 0 , 0 0 0 , 0 0 9 ; h. 3 0 0 , 0 0 0 ;
i. 0 . 0002 ; j . 8 0 0 , 0 0 0 , 0 0 0
s • 3 . 3 . 2 . 1 X 1 0 8 ; b. 1 . 5 X 1 0 - 6 ; c. 2 X lO^O; d . 2.4 X 1 0 " " ;
e. 0 .56; f. 50 ; g . 1.2; h. 1 . 5 X 1 0 - 1 3 ; i. . 2 1 ; j . 8 .1 X 10-3
Leve l 2: l . a . 6 . 7 X 1 0 ^ ; b. 8 . 9 X 1 0 8 ; c. 4.5 X 10-6; d . 9.8 X 10-15;
e. 8 .05 X 105; f. 1 . 000045 X 10-3; g . 3 . 8 8 0 9 0 8 3 X 10-3;
h. 4 . 5 8 8 7 9 5 0 X 107; i. 3.6 X 1013; j . 1.505 X 10-^4
2. a. 8 2 0 0 ; b. 0 . 000 , 0015 ; c. 1 7 , 7 5 0 , 0 0 0 ; d . 0 . 0 0 0 , 0 7 0 6 5 ;
e. 0 . 0 0 0 , 0 0 0 , 0 8 9 0 ; f. 3 , 860 , 000 ; g . 0 . 0 0 6 8 9 2 ;
h. 0 . 0 0 0 , 0 0 0 , 0 0 0 , 9 0 3 5 ; i. 542 .5 ; j . 0 . 2 6 6 2
Exponential Notation / 2 5
. 3 . 3 . 4 X 1 0 8 ; b. 4.6X1011; c. 3 .915 X 1 0 " ;
d . 4 . 0 7 6 9 2 X 10-5; e. 1 .0586 X I Q i o ; f. 2 . 9175 X 1 0 ^ ;
g . 3 . 9 7 0 3 7 5 X 10-3; h. 2 . 7 7 5 2 8 X 1 0 3; 1 . 7 . 8 9 4 2 5 X 10-9;
j . 5 . 2 5 5 6 2 X 1010
L e v e l 3: 1 . 3. 7 . 5 8 9 X 1 0 4 ; b. 10°; c. 1 . 89X10 -4 ; d . ( n o r e p r e s e n t 3 t i o n ) ;
e. - 4 . 5 X 1 0 7 ; 1 . 8 . 75X10° ; g . - 6 . 8 9 5 X 10-6;
h. 1 . 005005 X 108; j . 6 . 0 9 8 6 6 X lO'^; j . 1 . 2 5 X 1 0 1 9
2 . 3 . 0 . 0 0 0 , 0 0 0 , 0 0 0 , 0 0 0 , 0 0 3 9 0 7 ; b. 1 ,889 ,00P c. 0 . 0 0 0 5 7 7 8 ;
d . 1.255; e. 0 . 0 0 0 , 0 0 0 , 0 8 5 4 ; f. 3 8 7 ; g . 0 . 00552 ;
h. 0 . 0 0 0 , 0 0 5 5 5 5 ; i. 0 . 0 0 0 , 0 3 5 8 8 2 ; j . 4 , 7 7 8 , 0 0 0 , 0 0 0
3 . 3 . 2 . 1 4 3 2 X 107; b. 1 .2375 X 105; c. 3 . 9672 X 109;
d . 4 . 0 5 8 1 X 106; e. 7 . 3 1 7 4 0 5 X 10 i7; f. 4 . 777 X 10-7;
g . 6 . 528 X 1011; h. 1 .6454 X 10-7
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