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.