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Operations with the decimal fractions

Source: licencja: CC 0.

Działania na ułamkach dziesiętnych

Learning objectives

Developing the ability of doing the operations with the decimal fractions.

Learning effect

  • You do the operations with the decimal fractions.

  • You solve the text task using the operations with the fractions.

  • You use English to describe the order of operations with the decimal fractions.

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nagranie abstraktu

Today you are going to develop the ability of doing the operations with the decimal fractions in practical situations.

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nagranie abstraktu

Watch the interactive image. You are going to watch the difference between the gross weightgross weightgross weight, the net weightnet weightnet weight and the taretaretare.

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Ilustracja interaktywna przedstawia jabłka w skrzynce, samą skrzynkę i same jabłka. Na ilustracji widoczne są numery, a na nich podpisy. 1. The mass of goods including the packaging is called the gross weight. {audio}, 2. The mass of the packaging is called the tare. {audio}, 3. The mass of the goods without the packaging is called the net weight. {audio}.
zadanie
Source: GroMar, licencja: CC BY 3.0.
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nagranie abstraktu

Conclusion:

  • The total mass of the goods including the packaging is called the gross weightgross weightgross weight.

  • The mass of the goods without any packaging is called the net weightnet weightnet weight.

  • The mass of the packaging is called the taretaretare.

Task 1
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nagranie abstraktu

Ann was sent by her mum to buy some strawberries. She was given a plastic basket not to squash the strawberries on her way home. The shop assistant weighted the strawberries together with the basket. They weighted 1.754 kg. Ann said that the empty basket weighted 220 g. How much did she pay for the strawberries if the kilo of fruit costs 6 PLN?

Task 2
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nagranie abstraktu

The litter for cats can be bought in the packets of eight, ten and fifteen kilos. The bag containing eight kilos of litter costs 15 PLN, of ten kilos costs 18 PLN and of fifteen kilos costs 28 PLN.

Juliusz wants to buy 100 kilos of litter. Which type of the packaging should he choose? 

Task 3
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nagranie abstraktu

How much should be paid for 1 kg 27 dag of tomatoes if one kilo of them costs 2,20 PLN?

Task 4
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nagranie abstraktu

The price of the book which was 32 PLN fell over 8%. How much money did the price go down? How much is the book after the discount?

Task 5
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nagranie abstraktu

If you pay the money for the deposit, the bank offers 6% of the initial deposit after a year. How much money will the bank offer after a year of the deposit of 12120 PLN?

Task 6

An extra exercise:

Become familiar with the information given by the bricklayers from the 17Indeks górny th century and nowadays.

  • The bricklayer form the 17Indeks górny th century: “I earn 20 grosz a day. 1 PLN equals 30 grosz. The shoes are 1 PLN 20 grosz. Korzec of rye costs 3 PLN”.

  • The bricklayer nowadays: “I earn 80 PLN a day. 1 PLN equals 100 grosz. The shoes are 150 PLN. The kilo of the rye costs 80 grosz”.

  • KORZEC – it is former Polish measure of the volume which equals 128 litres. Korzec of the rye weights 90 kg.

  1. How many days did the bricklayer in the 17Indeks górny th century have to work to buy the shoes, and have many days does he have to work nowadays?

  2. How many kilos of rye was the bricklayer able to buy un the 17Indeks górny th century for his daily income and how many kilos can he buy nowadays?

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nagranie abstraktu

Remember:

  • The total mass of the goods including the packaging is called the gross weightgross weightgross weight.

  • The mass of the goods without any packaging is called the net weightnet weightnet weight.

  • The mass of the packaging is called the taretaretare.

Exercises

Exercise 1
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Wersja alternatywna ćwiczenia: The kilo of the apples is 3,50 PLN. Determine which sentences are true. Możliwe odpowiedzi: 1. For 4 kg of apples we will pay 14 PLN., 2. For 24 dag of apples we will pay 2 PLN., 3. For 1,5 kg of apples we will pay 5,25PLN.
Rzadanie
Source: GroMar, licencja: CC BY 3.0.
Exercise 2

During the promotion of the new model of car it was a discount of 15% of its price. How much does the car cost during the promotion, if its real cost was 64900 PLN?

Exercise 3

Calculate how much the skis are if their first price of 1550 PLN was decreased by 29%.

Calculate, how much the rollerblades are, if their first price 190 PLN increased by 24%.

Describe the method of calculating the price of the product after the increaseincreaseincrease of  10%.

Exercise 4
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Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. brutto - gross weight, 2. netto - net weight, 3. tara - tare, 4. podwyżki - increase, 5. obniżki - promotions, 6. promocje - increase
Rzadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.

Glossary

gross weight
gross weight

brutto

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wymowa w języku angielskim: gross weight
net weight
net weight

netto

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wymowa w języku angielskim: net weight
tare
tare

tara

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wymowa w języku angielskim: tare
increase
increase

podwyżka

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wymowa w języku angielskim: increase
decrease
decrease

obniżka

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wymowa w języku angielskim: decrease
order of operations
order of operations

kolejność wykonywania działań

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wymowa w języku angielskim: the order of operations
promotions
promotions

promocje

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wymowa w języku angielskim: promotions

Keywords

gross weightgross weightgross weight

net weightnet weightnet weight

taretaretare

increaseincreaseincrease

decreasedecreasedecrease