DECIMALS - Grade 5 ASW · 2019. 8. 13. · [three decimal places] [nearest ones] [two decimal places] [three decimal places] [four decimal places] a (i) b (i) (ii) (ii) (iii) (iii)

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Decimals Solutions

Mathletics Passport © 3P Learning

6HSERIES TOPIC

1

How does it work? Solutions Decimals

Page 3 questions

Page 4 questions

Place value of decimals


b ca

e fd

b ca

e fd

b ca

e fd

b ca

e fd

8 . 1 7 1 6 1 5 4 . 3 2 1 2 3 0

9 . 1 2 4 2 1 1 6 . 1 2 3 2 1 0

2

3

4

1 0.02

0.003

0.9

0.000 06

0.0001

0.000 008

103

10 0009

10051

10 00011

10007

1001

5 hundredths

or1005

201=

6 ten thousandths

or10 000

650003=

0 ten thousandths

or10 000

00 =

3 tenths

or103

1 thousandths

or10001

4 hundredths

or1004

251=

1 0 0 . 1 0 0 1 0 0 1

3 . 1 2 0 6 1 9

a

b

c

d

e

f

.

.

40.2685 4 10 2 6 8 5

.

.

.

4 19 4 1 1101 9

1001

29 281 2 10 9 1 2101 8

1001 1

10001

101

1001

10001

10 0001

3 74932 3 1 7101 4

1001 9

10001 3

10 0001 2

100 0001

0 2306 2101 3

1001 6

10 0001

0 0085 810001 5

10 0001

# # #

# # # # #

# # # # #

# # # # # #

# # #

# #

= + +

= + + + +

= + + + +

= + + + + +

= + +

= +

5

Decimals Solutions


2 6HSERIES TOPIC


Page 4 questions

Page 6 questions


Approximations through rounding numbers

a

a

b

b

c

c

6

1

2

(i)

(i)

(i)

(i)

(i)

(i)

(ii)

(ii)

(ii)

(ii)

(ii)

(ii)

(iii)

(iii)

(iii)

(iii)

(iii)

(iii)

536 . 540

0.73 . 0.7

14 302 . 14 300

2.41 . 2.41

98 542 . 99 000

10.476 . 10.476

8514 . 8510

3.45 . 3.5

4764 . 4800

0.01 . 0.01

18 401 . 18 000

0.386 . 0.386

93 025 . 93 030

11.9 . 11.9

80 048 . 80 000

1.00 . 1.00

120 510 . 121 000

0.049 . 0.049

.

.

.

.

2 0 3 0.203

.

.

1 1 4101 6

1001 1 46

4 10 9 1 0101 7

1001 49 07

5 100 2 10 0 1 2101 1

1001 8

10001 520 218

6 1 8101 5

1001 0

10001 2

100001 9

1000001 6 850 29

101

1001

10001

61001 7

10001 0

10 0001 1

1000001 0 067 01

3101 4

1001 1

10001 0

100001 8

1000001 0 34108

# # #

# # # #

# # # # # #

# # # # # #

# # #

# # #

# # # # #

#

+ + =

+ + + =

+ + + + + =

+ + + + + =

+ + =

+ + + =

+ + + + =

e

a

b

c

d

f

g

[nearest ten] [nearest hundred] [nearest thousand]

[nearest tenth] [nearest hundredth] [nearest thousandth]

Decimals Solutions


6HSERIES TOPIC

3


Page 6 questions


a

c

3 (i)

(i)

(ii)

(ii)

(iii)

8.8 m

3459 km

10 m

b (i)

(ii)

0.0002 m

0.00 m

3500 km

These digits combine to represent 532 m. This is really small part of the total distance of approximately 3500 km (0.15% of the total distance). So they are not really important as they do not have any effect on the approximate distance between the cities. Only important if a great deal of accuracy was needed.

Page 7 questions


b ca

e

h

f

i

d

g

4

1.98 . 2.0 398 . 400 11.899 . 11.90

79.9 . 80 0.1398 . 0.140 2.1995 . 2.200

49 798 . 50 000 199.9 . 200 9.89 999 . 9.9000

[one decimal place]

[nearest ones]

[nearest thousand]

[nearest ten]

[three decimal places]

[nearest ones]

[two decimal places]

[three decimal places]

[four decimal places]

a b(i) (i)

(ii) (ii)

(iii) (iii)

2500 9600 L

2 9599.59 L

2496 No. Because any digit in this place value (ten thousandths) will not have any affect on the approximate number of litres leaked from the pool.

5

Decimals Solutions


4 6HSERIES TOPIC


Page 9 questions

Decimals on the number line

1

2

3

0.0 1.0

0.1 0.2

2.3 2.4

a

c

e

0.7

0.13

2.34

2.0 3.0

9.1 9.2

5.21 5.22

b

d

f

2.1

9.15

5.212

a

c

e

1.6

0.94

2.053

b

d

f

4.2

7.07

9.538

1.0 2.0 4.0 5.0

0.9 1.0 7.0 7.1

2.05 2.06 9.53 9.54

` the value . 0.3

` the value . 0.8

` the value . 1.995

` the value . 2.902

` the value . 1.03

` the value . 0.09

` the value . 8.104

` the value . 0.990

0.2 0.3

0.8 0.9

1.994 1.995

2.902 2.903

a

c

e

g

[tenth]

[tenth]

[thousandth]

[thousandth]

[hundredth]

[hundredth]

[thousandth]

[thousandth]

1.03 1.04

0.08 0.09

8.103 8.104

0.989 0.990

b

d

f

h

Decimals Solutions


6HSERIES TOPIC

5


Page 11 questions

Multiplying and dividing by powers of ten

b

c

a

e f

d

1

8.0 0 . = 800

2

12 . 4 5 0 0 . = 124 500

4

3.4 . = 34

1

0 . 5 1 . 2 =51.2

2

29. 0 0 0 . = 29 000

3

0 . 0 0 0 0 4 6 . 9 = 46.9

6

b

b

c

c

a

a

e

e

f

f

d

d

2

3

0 . 0 2 . =0.02

2

3 1 . 0 0. = 3100

2

0 . 0 0 7 0 . 8 0 = 0.00708

4

9 0 . 0 0 8 0 . = 90 0080

4

4 . 5 9 0 . = 4.59

3

0 . 0 2 4 0 0 . = 0.02 400

5

1 . 3 6 7 . 5 1 2 = 1.367512

3

0 . 0 0 3 . 4 5 = 0.003 45

3

0 . 0 . 0 1 4 = 0.0014

1

0 . 0 0 2 7 0 0 . = 2700

6

0 . 0 0 4 2 1 9 0 0 . = 0.004 219

8

0 . 2 1 5 9 9 5 1 . = 0.215 995 1

7

8 100#

29 1000#

3.4 10#

12.45 10000#

0.512 100# 0.0000469 1000000#

1002 ' 4590 1000'

.0 014 10' 70. 0 100008 '

.1367 512 1000' 421900 100000000'

31 102# 2400 105'

0.0027 106# 90.008 104#

.3 45 103' 2159 951 107'

Decimals Solutions


6 6HSERIES TOPIC


Page 12 questions

Page 14 questions

Multiplying and dividing by powers of ten

Terminating decimals to fractions

4

1 b c da

g

j

h

i k l

e f

0 and 9 8 and 9 8 and 7 9 and 2 0 and 7

IR A D X P O I N T

a

b

c

d

e

f

g

h

i

j

(i) I

N

A

O

X

T

R

I

D

P

2 8 3 0 3 9 2 0

2 3 8 5 7

0 4 7 6 3 8 9 2

3 8 2 9 6 2

1 9 2 3 8 0 7

8 9 2 3 6 7 0 1

2 0 9 1 7 9 8 3

0 8 3 9 1 7

9 0 2 8 7 3 2 0 1

0 0 8 3 9 0

3 and 8

8 and 9

8 and 2

0 and 7

6 and 7

0 and 9

0 and 8

8 and 7

3 and 9

9 and 2

3 and 9 8 and 2 0 and 8 3 and 8 6 and 7

.0 1101=

.0 00110001=

.0 1291000129=

.0 031003=

.0 049100049=

0.060110 000601=

0.7107=

.0 00710007=

.0 081100081=

.0 091009=

.0 013100013=

0.100710 0001007=

2830.3920 100#

23857 1000'

0.4763892 105#

382 961 10000'

19238.07 101#

8.9236701 10000#

20 917 9831000000

1#

83917 105'

902873.02110

12

#

0.08390 103#

Decimals Solutions


6HSERIES TOPIC

7


Page 14 questions

Page 15 questions



b

b

b

e

h

c

c

c

f

i

a

a

a

d

g

e

e

h

k

f

f

i

l

d

d

g

j

2

3

4

0.5105

21= =

. 22 3103=

2.8 2108

254

=

=

3.05 31005

3201

=

=

1.004 110004

12501

=

=

1.4 1104

152

=

=

2.75 210075

243

=

=

2.025 2100025

2401

=

=

4.06 41006

4503

=

=

5.005 510005

52001

=

=

3.144 31000144

312518

=

=

.0 081008

252= =

. 11 031003=

.0 1210012

253= =

.0 045100045

2009= =

.0 2510025

41= =

.0 002810 00028

25007= =

.0 022100022

50011= =

.0 060510 000605

2000121= =

.0 00410004

2501= =

. 44 00110001=

.0 00510005

2001= =

. 22 00910009=

.0 6106

53= =

1. 11101=

.0 021002

501= =

. 33 071007=

Decimals Solutions


8 6HSERIES TOPIC


Page 17 questions

Page 18 questions

Fractions to terminating decimals


b

b

e

h

c

c

f

i

a

a

e

i

b

b

f

j

c

c

g

k

d

d

h

a

a

d

g

1

2

3

4

.

51

102

0 2

=

=

2012

.

22

106

0 6`

'' =

=

100

.

254 16

0 16

=

=

2 2

.

259

10036

2 36

=

=

.

41

10025

0 25

=

=

54

.

22

2520

54

108

0 8

55

`

''

#

#

=

=

= .

2418

43

43

10075

0 75

66

2525

#

#

`

'' =

=

=

.

2001

10005

0 005

=

=

1 1

.

2001

10005

1 005

=

=

.

2511

10044

0 44

=

=

.

1256

100048

0 048

=

=

8 8

.

507

10014

8 14

=

=

21

105=

258

10032=

1154

108=

52

104=

2503

100012=

33251

1004=

43

10075=

20011

100055=

209

10045=

1252

100016=

66207

10035=

.109 0 9= .

1003 0 03= .

10011 0 11= .

10007 0 007=

Decimals Solutions


6HSERIES TOPIC

9


Page 18 questions

Page 19 questions



e

b

h

e

f

c

f

d

a

g

d

4

5

4022

2011

.

22

55

2011

10055

0 55

#

#

`

'' =

=

=

.

.

.

.

52 2 000 5

5 2 0 0 0

0 4 0

0 4

2

'=

=

=

g

160036 1

.

66

1006

1 06`

'' =

=

.

8 . 0 0 0

.

.

58 8 000 5

5

1 6 0

1 6

3

'=

=

=

g

759

253

.

33

44

253

10012

0 12

#

#

`

'' =

=

=

.

.

.

.

41 1 000 4

4 1 0 0 0

0 2 5

0 25

1 2

'=

=

=

g

215012 2

2504 2

.

33

22

504

1008

2 08

#

#

`

'' =

=

=

.

1 . 0 0 0

.

.

811 11 000 8

8 1

0 1 3 7 5

1 375

1 3 6 4

'=

=

=

g

3 12 4 3

.

40 4 103

3 3

''

`

=

=

.

. 0 0 0

.

.

83 3 000 8

8 3

0 3 7 5

0 375

3 46

'=

=

=

g

.

.

.

.

427 27 000 4

4 2 7 0 0 0

0 6 7 50

6 75

2 3 2

'=

=

=

g

Decimals Solutions


10 6HSERIES TOPIC


Page 20 questions


b

e

c

f

a

d

6

.

.

.

.

1512

54

4 000 5

5 4 0 0 0

0 8 0

0 8

33

4

` '

'' =

=

=

=

g

818

9.000 4

4 9 . 0 0 0

.

.

22

49

2 2 50

2 25

1 2

` '

'' =

=

=

=

g

9 3

3.000 4

4 3 .

.

.

12 3 43

0 0 0

0 7 5 0

0 75

3 2

''

` '

=

=

=

=

g

2481

27.000 8

8 2 7 . 0 0 0

.

.

33

827

0 3 3 7 5

3 375

2 3 6 4

` '

'' =

=

=

=

g

5649

7.000 8

8 7 . 0 0 0

.

.

77

87

0 8 7 5

0 875

67 4

` '

'' =

=

=

=

g

1626

13.000 8

8 1 3 . 0 0 0

.

.

22

813

0 1 6 2 5

1 625

1 5 2 4

` '

'' =

=

=

=

g

Decimals Solutions


6HSERIES TOPIC

11

Where does it work? Solutions Decimals

Page 22 questions

Page 23 questions

Adding and subtracting decimals


1

2

3

c da b

g he

a

d

a

f

0 . 1 4 +

0 . 7 3

0 . 8 7

0 . 9 9 -

0 . 2 6

8 . 7 5 +

1 . 2 4

2 . 1 9 +

5 . 6

0 . 1 3

0 . 7 3

9 . 9 9

7 . 9 2

1 . 6 8 +

5 . 3 0

6 . 9 8

0 . 2 4 6 +

0 . 8 3 2

1 . 0 7 8

5 . 12 4 -

01 . 8 3

4 . 4 1

5 . 10 7 4 -

11 . 0 6 4

4 . 0 1

1 2 . 1 9 4 +

9 . 0 5 7

2 1 . 2 5 1

2 4 . 11 15 8 -

1 31 . 61 9 4

1 0 . 4 6 4

11.3 - 0.2 . 11 - 0

. 11

5.7 + 6.2 . 6 + 6

. 12

8.3 - 1.9 . 8 - 2

. 6

(i)

(iii)

8.34 + 1.61 + 0.54 . 8 + 2 + 1

. 11

2.71 + 3.80 + 1.92 . 3 + 4 + 2

. 9

(v) (vi)

(iv)

(ii) 0.9 + 9.4 . 1 + 9

. 10

Add 8.75 to 1.24

Add 2.19, 5.6 and 0.13 e

b

4 . 7 9 -

3 . 1 5

1 . 6 4

8 . 16 10 11 12 -

01 . 91 31 51 6

7 . 6 6 5 6

Subtract 3.15 from 4.79

Subtract 0.9356 from 8.6012

c

d

0 . 9 3 6 +

0 . 8 6 5

1 . 8 0 1

1 0 . 2 0 6 +

4 . 6 4

8 . 0 1 5 9

2 2 . 8 6 1 9

Add 10.206, 4.64 and 8.0159

Add 0.936 to 0.865

Decimals Solutions


12 6HSERIES TOPIC


b

a b

c

a b c

2 . 7 1 +

3 . 8 0

1 . 9 2

8 . 4 3

8 . 3 4 +

1 . 6 1

0 . 5 4

1 0 . 4 9

7 . 8 10 -

2 . 51 6

5 . 2 4

1 13 . 10 9 10 10 -

1 81 . 4 61 21 1

5 . 5 12 10 10 10 -

0 . 11 21 51 31 2

Page 23 questions

Page 25 questions


Multiplying with decimals

3

4

1

(v) (vi)

.10 49 10. .8 43 8.

4 . 6 2 7 9

0 . 3 9 4 6 8

. . .7 8 2 56 5 24` - = . . .13 09 8 4621 4 6279` - =

. . .0 52 0 12532 0 394 68` - =

.0 8 2#

8 2 16# =

.5 1 5#

5 15 75# =

.0 14 6#

14 6 84# =

1 d.p. in question` 1 d.p. in answer



0.8 2 1.6#` = 5 1.5 7.5#` = 0.14 .6 0 84#` =

Decimals Solutions


6HSERIES TOPIC

13


d

a

e

b

f

c

d e f

Page 25 questions

Multiplying with decimals

1

2

.0 62 4#

62 4 248# =


0.62 .4 2 48#` =

. .3 8 0 2#

38 2 76# =


3.8 . .0 2 0 76#` =

.3 0 032#

3 32 96# =


3 . .0 032 0 096#` =

1.09 .0 08#


1.09 . .0 08 0 0872#` =

.1 134 2#

1134 2 2268# =


1.124 .2 2 268#` =

2.7 .2 5#

7.1 .1 4# 3.21 .2 1# 17.2 .9 3#





2.7 . .2 5 6 75#` =

7.1 . .1 4 9 94#` = 3.21 . .2 1 6 741#` = 17.2 . .9 3 159 96#` =

109 #

872

78

27 #

135

540

675

25

7 1 #

284

710

994

14

321 #

321

6420

674 1

21

172 #

516

15480

15996

93

Decimals Solutions


14 6HSERIES TOPIC


Page 27 questions

Dividing with decimals

1

2

a

a

b

b

c

c

3.6 4' 17.5 5' .16 2 9'

d

d

e

e

f

f

0.63 3' .0 489 5' .10 976 7'

3.6 4 .0 9` ' = 17.5 5 .3 5` ' = 16.2 9 .1 8` ' =

0.63 3 .0 21` ' = 0.489 5 .0 0978` ' = 10.976 7 .1 568` ' =

4 .

.

3 6 0

0 9 03

= g

.

.3 0 6 3

0 2 1= g

7 . 5

.

5 1

0 3 51 2

= g

5 . 4 8 9 0

.

0

0 0 9 7 84 3 4

= g

.

.

.

. .

52 0 4

4 5 2 0

1 3 0

5 2 0 4 13

1

'

` '

=

=

g

.

.

.

. . .

15 8 4

4 1 5 8 0

0 3 9 5

1 58 0 4 3 95

1 3 2

'

` '

=

=

g

.

.

.

. .

96 0 6

6 9 6 0

1 6 0

9 6 0 6 16

3

'

` '

=

=

g

.

.

.

. . .

81 25 5

5 8 1 2 5

1 6 2 5

0 8125 0 05 16 25

3 1 2

'

` '

=

=

g

.

.

.

. . .

5 6 8

8 5 6

0 7

0 56 0 8 0 7

5

'

` '

=

=

g

.

.

.

. . .

5368 2 6

6 5 3 6 8 2

0 8 9 4 7

5 3682 0 006 894 7

5 5 2 4

'

` '

=

=

g

6 . 2

.

9 1

0 1 87

= g

0 . 9 7 6 0

.

7 1

0 1 5 6 83 4 5

= g

. .45 2 0' . .9 6 0 6' . .0 56 0 8'

. .1 58 0 4' 0. .8125 0 05' . .5 3682 0 006'

Decimals Solutions


6HSERIES TOPIC

15


c z h m n a f b

.0 14o .0 4r .41 1o .0 144 0.141o o .0 41o .414 .0 401o o .4 1o .0 41o o

4.1414 ... C z F h N d W c D b A a U n P t L f O m

0.144144 ... Y n A m R f T t K z E h R d I c U b S a

0.1444 ... L a D b A m I h M t B f S c A d U z Q n

0.401401 ... R h Z d A n E z A c N t 0 a M b A h G f

4.111 ... A f T z P c H d T a Y n A t A h C m A b

0.4111... I d Y t A b U n H m I z E f S m I t T a

0.4141 ... A b L a D t E f A d N c L m E z O d N h

41.111 ... W c J f B d A a X h M m A b U n A A z

0.444 ... P m V c E a F b A n B d T Y f E c I t

0.1411411 ... H t A n A m A m U f A b A h A a D d R c

Page 29 questions

Recurring decimals

1

V I N C U L U M

2 a b c

d e f

.

.

.

3 1 0 0 0

0 3 3 3

1 3 0 3

1 1 1

` ' = o

g

.

.

. .

6 1 6 0 0

0 2 6 6

1 6 6 0 26

1 4 4

` ' = o

g ..

. .

9 2 5 0 0

0 2 7 7

2 5 9 0 27

2 7 7

` ' = o

g ..

. .

3 0 3 4 0 0

0 1 1 3 3

0 34 3 0 113

1 1

` ' = o

g

.

.

.

9 4 0 0 0

0 4 4 4

4 9 0 4

4 4 4

` ' = o

g ..

.

6 5 0 0 0

0 8 3 3

5 9 0 83

5 2 2

` ' = o

g

1 3' 4 9' 5 6'

1.6 6' .2 5 9' .0 34 3'

Decimals Solutions


16 6HSERIES TOPIC


Page 30 questions

Recurring decimals

3

.

. ...

.

3 2 0 0 0 0 0

0 6 6 6 6 6

2 3 0 6

2 2 2 2 2

` '

=

= o

g

.

. ...

. .

7 1 6 0 0 0 0

0 2 2 8 5 7

1 6 7 0 228 57

1 2 6 4 5

` '

=

=

g

6 . 8 0 0 0 0

. ...

. . .

3

2 2 6 6 6 6

0 68 0 3 2 26

2 2 2 2

` '

=

= o

g

.

. ...

. .

3 2 9 0 0 0 0

0 9 6 6 6 6

2 9 3 0 96

2 2 2 2 2

` '

=

= o

g

.

. ...

. . .

6 1 9 0 0 0 0

0 3 1 6 6 6

0 019 0 06 0 316

1 1 4 4 4

` '

=

= o

g

.

. ...

. . .

8 3 3 0 0 0 0

0 4 1 2 5 0

0 33 0 8 0 4125

3 1 2 4 2

` '

=

=

g

.

. ...

.

6 1 0 0 0 0 0

0 1 6 6 6 6

1 6 0 16

1 4 4 4 4

` '

=

= o

g .. ...

. ...

7 1 0 0 0 0 0

0 1 4 2 8 5

1 7 0 142 85

1 3 2 6 4

` '

=

=

g

a b c2 3' 1 6' 1 7'

d e f.1 6 7' .2 9 3' . .0 33 0 8'

g h i0.6 .38 0' 0. .019 0 06' 0. 0.00644 002'

Recurring decimal?Yes No

X Recurring decimal?Yes No


X




X




X

.3 3 8'=

.8 36 '= .1 9 6'= .6 44 2'=

.

.

. . .

2 6 4 4 0 0 03 2 2 0 0 0

0 00644 0 002 3 22` '

=

=

g

Decimals Solutions


6HSERIES TOPIC

17

What else can you do? Solutions Decimals

Page 32 questions

Page 34 questions

Simple recurring decimals into single fraction

Combining decimal techniques to solve problems

2

1

3

a

a

d

g

b

e

h

c

f

i

195

396 3

32=

999162

376=

59912 5

334=

599991485 5

10115=

999117

11113=

99994896

1111544=

297 4

93 4

31=

(i)

(ii)

.0 999 1= =o

0.9 0.999999... 1.= =o Even though the value appears as 0.9 repeater, it actually equals a whole number

Amount of yellow paint mL0.5 12.46#=


1246 #

6230

1 2 3 5

mL0.5 12.46 6.23#` = of yellow paint

1 a

d

b

e

c

f

94

9911

91=

98

9927

113=

96

32=

9957

3319=

Decimals Solutions


18 6HSERIES TOPIC


Page 34 questions


1

2

3

b

a

b

c

Amount of yellow paint mL0.5 1 .8 45#=


1845 #

9225

4 2 2 5

mL0.5 . .18 45 9 225#` = of yellow paint

` Amount of dark-green paint mL

mL (nearest tenth)

18.45 9.225 27.675

27.7

= + =

=


9345 #

46725

1 2 2 5

` Number of words typed in 5 minutes = 467.25

. 467 words

5 skaters had times less than 126.245 seconds...so 5 skaters made it into the team.

Slowest time recorded = 126.268 seconds

. . .126 245 0 01 126 255+ =

So 2 skaters missed out by less than 0.01 seconds

Decimals Solutions


6HSERIES TOPIC

19



Page 35 questions

4

5

The minimum signal for 3 bars is 0.61, therefore need to calculate 0.61 ' 0.04

The total time for spaces between songs = 0.15 # 4

15 #

460


` The total time for spaces between songs = 0.60 min

` 0.15 # 4 = 0.60

The total length of the video min

min

minutes to the nearestminute

. . . . . .

.

3 55 5 14 2 27 3 18 4 86 0 60

19 6

20

`

.

= + + + + +

=

If Laura is working 16.25 m away from the antenna, then the signal drops a total of 16.25 # 0.024

16250

24

65000

325000

390000

#

Since 5 decimal places in question, need 5 decimal places in answer

3 9 0 0 0 0

5 4 3 2 1

` 3.9 signal strength drop when 16.25 m away

` 1.0 - 3.9 signal strength = 0.61 signal strength

` Laura will have 3 bars of signal strength (but only just!)

Decimals Solutions


20 6HSERIES TOPIC


Page 36 questions

7

8

The total amount of "Sal-X" 863.999... 138.222...

. ...725 777

= -

=

The amount of "Sal-X" in each jar = 725.777... ' 4

7 2 5 . 7 7 7

. ...

4

1 8 1 4 4 43 1 1 1g

` The amount of "Sal-X" in each jar mL

mL to the nearest whole mL

.181 4

181.

= o

Every .0 3o hours = every 31 of an hour = 3 times an hour!

3 # 0.2 = 0.6

` The waves increase in height by 0.6 m every hour.

` The time taken to get to a surf-able height 14 0.6

14 6

'

'

=

=

hours.2 3= o

1 4 . 0 0 0

. ...

6

0 2 3 3 31 2 2 2g

hours minutes

hours minutes

1.0 60

0.3 20`

=

=o

` people start surfing after 2 hours, 20 minutes.

6 The total number of people was not a perfect multiple of the number of houses surveyed, which will give a decimal answer...so, on average there are 3.4 people in each house, but each house will have different numbers, leading to this result.


4

DECIMA

LS ON

THE NUMBER LINE DECIMALS ON THE NUM

BE

R LINE

..../.....

/20...

MU

LTIPLYING AND DIVIDING BY POWERS

OF TEN

..../...../20.

..

MULTIPLY

ING WITH DECIMALS MULTIPLYING WITH DE

CIMALS

..../.....

/20...

DIVIDING WITH DECIMALS DIVIDING

WITH DECIMAL

S

..../...../20...÷

PLACE

VALUE OF DECIMALS PLACE VALUE O

F DECIMALS

..../...../20...

Documents

DECIMALS - Grade 5 ASW · 2019. 8. 13. · [three decimal places] [nearest ones] [two decimal places] [three decimal places] [four decimal places] a (i) b (i) (ii) (ii) (iii) (iii)