Lab 5 Decimal addition and subtraction - bemaperson

Lab 5Lab 5 ACMNA105 Fractions and decimals • Compare, order and represent decimals. Order ... 1 First estimate answers in whole numbers. Word problems...

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Lab 5

fraction ally 2

Decimal Decimal addition addition and and subtraction subtraction

4.17

Order decimals

3.35

4.83

2.90 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?

4 . 1 7 - 3 . 3 5 m

b Tronk and Gonk?

c Monk and Sonk?

d Tronk and Monk?

4 What is the total height of: a Monk, Dronk and Sonk?

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b Gonk, Wonk and Tronk?

c all of them?

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

+, – decimals

Decimals Decimals

Word • to keep decimal points problems under each other. • to put a decimal point in the answer. Est. 7 . 3 4 7+2=9 + 1 . 6 9 9 . 0 3

1 First estimate answers in whole numbers. a 7.6

3.8 + 1.4

Est.

b 9.4

+

4.8 0.6

Est.

c 11.2

0.8 + 24.5

Hint Put the decimal point in the answer first so you don’t forget.

Est.

d 3.85

e 5.63

f 7.09

g 8.11

2.50 + 5.69

8.42 + 3.65

Est.

Est.

Est.

Est.

Est.

2.07 + 1.92

2 a 3.9

8.71 + 4.58

0.38 + 9.17

h 1.74

b 8.6

c 9.7

Est.

Est.

f 4.93

– 1.61

g 7.75

– 3.44

h

8.07 – 2.36

i 6.52

– 3.78

j 9.40

Est.

Est.

Est.

Est.

Est.

– 1.7

– 5.1

– 5.2

d 6.1

– 2.6

e 5.4

Est.

Est.

Est.

3

$2.85

$5.72

– 3.5

– 5.76

$9.56

$4.91

How much did they spend? a Toby bought thongs, ball and snorkel set. ____________

$6.18 Working

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. ____________ ACMNA106 Money and financial mathematics • Create simple financial plans.

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Multiplication Multiplication of of decimals decimals 1 On page 76 the heights are in metres. a Why are there two numerals after the decimal point?



Tens Ones

7

2

3-digit algorithms



Tenths Hundredths

.

3

9

3 9 ____________________________________________________________________________________________________________ 70 + 2 + 10 + 100 b Write their height in centimetres.

Dronk __________ Sonk __________ Monk __________ Wonk __________ Tronk ___________ Gonk ___________ 2 A

B

C

D

E



7.8 kg



27.6 kg

35.4 kg

11.7 kg

18.9 kg

What is the weight of: a 4 of A?

7 . 8 x 4

b 6 of B?

c 9 of C?

d 7 of D?

f Order the dogs’ weights from lightest to heaviest.

.23 π 3 e 7 . 3 8 π 9 4 a $7 . 5 5 π 6 3 a 7

b 4

.95 π 5 f 3 . 4 7 π 7

c 7

.64 π 8 g 8 . 0 2 π 6

d 6

b $5

c $9

d $8

.91 π 3

.04 π 4

.71 π 9 h 5 . 2 9 π 3 .60 π 9

e 5 of E?

Remember to put the decimal point in the answer.

e $6

.07 π 8

Challenge! What would be the total weight of 3 of each dog? 78

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

Division Division of of decimals decimals 1 a

b

h

e

f

i

j

k

l

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

2 a

d

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

g

c

3-digit division

b

c

d

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

53.1 kg 38.4 kg 3 What does each bag weigh if: a the oranges are placed in 6 bags?

____________

70.4 kg

6 38.4

b the potatoes are placed in 9 bags?

____________

43.5 kg 47.6 kg Working

Put the decimal point in the answer first then you won’t forget.

c the tomatoes are placed in 8 bags?

____________

d the apples are placed in 5 bags?

____________

e the bananas are placed in 7 bags?

____________

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

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

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