A Scientific Notation - Pequannock Township High...

AScientific NotationA N S W E R K E Y

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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