Liczby w dziesiątkowym systemie pozycyjnym

Learning objectives

You will discover the notion of the decimal numeral system.

Learning effect

• You write down the natural numbers in a form of the sum.

• You identify the units digit, the tens digit, the hundreds digit in the number.

• You use English to describe the position of the digit in the number.

Prepare for the lesson „the banknotes” and „the coins”:

• 10 smaller and 10 larger cards (as „banknotes”) cut out of the paper. He writes “10 PLN” on the smaller cards and “100 PLN”on the larger ones;

• 10 circles cut out of the paper as the coins. They write “1 PLN” on each of them.

Prepare also the sheet of paper with the list of numbers:
1. 2. 3. 4. 5.

And the set of cards with the following amounts on each of them:
97 PLN, 79 PLN, 425 PLN, 245 PLN, 452 PLN, 703 PLN, 730 PLN, 307 PLN, 370 PLN or 288 PLN.

Revise how we call the symbols used to write down the numbers and how many Arabic numerals are used in our numeral system.

Today you are going to discover the method of writing down the natural numbers in a form of the sum and identify the position of the digit in the number.

Notice that in the number 682. The digit 6 is called the hundreds digit, digit 8 is called the tens digit and digit 2 is called the units digit.

Consider:

Why do we call the numeral system which we use the decimal systemdecimal systemdecimal system?
Why do we call the numeral system we use the positional systempositional systempositional system?

Notice that:

• The numeral system which we use is called the decimal systemdecimal systemdecimal system because 10 units make one ten, 10 tens make one hundred etc.

• The numeral system which we use is called the positional systempositional systempositional system because the meaning of the digit in the number depends on the place, so on the position which it has in the number e.g. the numbers 54 and 45 are not equal.

Task 4

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nagranie abstraktu

nagranie abstraktu

Nagranie dostępne na portalu epodreczniki.pl

nagranie abstraktu

Open the applet. Write down the number depending on the information how many hundreds, tens and units it consists of.

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Aplet geogebry: Zapisywanie liczb naturalnych. Poniżej znajduje się galeria ilustracji stanowiących alternatywę dla apletu.

Aplet geogebry: Zapisywanie liczb naturalnych. Poniżej znajduje się galeria ilustracji stanowiących alternatywę dla apletu.

Zasób interaktywny dostępny pod adresem https://zpe.gov.pl/a/D10rXoeuM

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Na rysunku znajduje się napis: Numbers. Poniżej polecenie: Write a number which has 5 hundreds and unity digit 2.

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Na rysunku znajduje się napis: Numbers. Poniżej polecenie: Write a number which has 9 hundreds 3 tenths and unity digit 8.

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nagranie abstraktu

nagranie abstraktu

Nagranie dostępne na portalu epodreczniki.pl

nagranie abstraktu

Use the cards with numbers 1 to 5. Write the numbers described in points 1 to 5. After completing the task check the answers you have given.

Remember:

• The decimal numeral system is most commonly used system.

• In the decimal systemdecimal systemdecimal system ten units make one ten, 10 tens make one hundred , 10 hundreds make one thousand etc.

• In the positional systempositional systempositional system the meaning of the digit in the number depends on the place, so on the position which it has in the number e.g. the numbers 54 and 45 are not equal.

Do the summarising tasks.

Exercises

Glossary

Keywords

decimal systemdecimal systemdecimal system

positional systempositional systempositional system

unit digitunit digitunit digit

tens digittens digittens digit

hundreds digithundreds digithundreds digit