76

2.90

4.833.35

5.06

0.98

These aliens are from ONKUTO where everyone is a different height.Dronk is 4.17 m, Sonk is 2.90 m, Monk is 4.83 m, Wonk is 3.35 m, Tronk is 5.06 m, Gonk is 0.98 m.

1 Order them from tallest to shortest.

____________________________________________________________________________________________________________

2 What measurement is the decimal part of their height? _________________

3 What is the difference in height between?

a Dronk and Wonk? b Tronk and Gonk? c Monk and Sonk? d Tronk and Monk?

4 What is the total height of:

a Monk, Dronk and Sonk? b Gonk, Wonk and Tronk? c all of them?

Decimal addition and subtractionDecimal addition and subtraction

4.17

4 . 1 7-3 .35 m

fraction ally 2Lab 5Lab 5

ACMNA105 Fractions and decimals • Compare, order and represent decimals.

Order decimals

77

DecimalsDecimals

2

+,–decimals• tokeepdecimalpoints

undereachother.• toputadecimalpoint

intheanswer.Est.7+2=9

HintPutthedecimalpointintheanswerfirstsoyoudon’tforget.

7.34 +1.69

9.03

a 7.6 3.8

+ 1.4

Est.

b 9.4 4.8

+ 0.6

Est.

c 11.2 0.8 + 24.5

Est.

d 3.85 2.07

+ 1.92

Est.

e 5.63 8.71

+ 4.58

Est.

f 7.09 0.38

+ 9.17

Est.

g 8.11 2.50

+ 5.69

Est.

h 1.74 8.42

+ 3.65

Est.

Est.

a 3.9 – 1.7

Est.

f 4.93 – 1.61

Est.

g 7.75 – 3.44

Est.

h 8.07 – 2.36

Est.

i 6.52 – 3.78

Est.

j 9.40 – 5.76

Est.

b 8.6 – 5.1

Est.

c 9.7 – 5.2

Est.

d 6.1 – 2.6

Est.

e 5.4 – 3.5

3

How much did they spend?

a Toby bought thongs, ball and snorkel set. ____________

b Jill bought hat, sunscreen and ball. ____________

c Bob bought snorkel set, sunscreen and thongs. ____________

d Tracy bought hat, snorkel set and ball. ____________

How much change?

e Bill had $7.40 and bought sunscreen. ____________

f Jason had $9.05 and bought thongs. ____________

g Jan had $5 and bought a ball. ____________

Working

$2.85 $5.72 $4.91

$6.18

$9.56

1 First estimate answers in whole numbers.

Word problems

ACMNA106 Money and financial mathematics • Create simple financial plans.

78

18.9 kg11.7 kg35.4 kg27.6 kg7.8 kg

Challenge! What would be the total weight of 3 of each dog?

Multiplication of decimalsMultiplication of decimals1 On page 76 the heights are in metres.

a Why are there two numerals after the decimal point?

____________________________________________________________________________________________________________

b Write their height in centimetres.

Dronk __________ Sonk __________ Monk __________ Wonk __________ Tronk ___________ Gonk ___________

2 A B C D E

What is the weight of:

a 4 of A? b 6 of B? c 9 of C? d 7 of D? e 5 of E?

f Order the dogs’ weights from lightest to heaviest.

3

4

a 7 . 2 3 π 3

b 4 . 9 5 π 5

c 7 . 6 4 π 8

d 6 . 7 1 π 9

a $7 . 5 5 π 6

b $5 . 9 1 π 3

c $9 . 0 4 π 4

d $8 . 6 0 π 9

e $6 . 0 7 π 8

e 7 . 3 8 π 9

f 3 . 4 7 π 7

g 8 . 0 2 π 6

h 5 . 2 9 π 3

Tens Ones Tenths Hundredths 7 2 . 3 9

70+2+310+

9100

Remembertoputthedecimalpointinthe

answer.

7 . 8x 4

3-digit algorithms

ACMNA105 Fractions and decimals • Compare, order and represent decimals.

79

Multiplication of decimalsMultiplication of decimals Tens Ones Tenths Hundredths 7 2 . 3 9

70+2+310+

9100

Challenge! Nana gave Joe, Jill and Jamie $8.64 to share. Joe is to have $1 more than Jill and Jamie is to have $2 less than Joe. How much does each receive?

Joe Jill Jamie

3 What does each bag weigh if:

a the oranges are placed in 6 bags?

____________

b the potatoes are placed in 9 bags?

____________

c the tomatoes are placed in 8 bags?

____________

d the apples are placed in 5 bags?

____________

e the bananas are placed in 7 bags?

____________

Division of decimalsDivision of decimals

38.4 kg

53.1 kg70.4 kg 43.5 kg

47.6 kg

Putthedecimalpointinthe

answerfirstthenyouwon’tforget.

1 a b c d e f

3 7 · 2 7 9 · 1 6 8 · 4 4 7 · 6 5 9 · 5 2 9 · 8

g h i j k l

8 9 · 6 6 7 · 8 4 9 · 6 5 7 · 5 7 8 · 4 2 7 · 6

2 a b c d

3 $8 . 2 2 4 $9 . 1 2 5 $7 . 6 5 6 $7 . 5 6

Working

6 3 8 . 4

3-digit division

ACMNA105 Fractions and decimals • Compare, order and represent decimals.