Dziesiątkowy system pozycyjny
Learning objectives
Learning effect
R6J5bRb3vWz4S1Revise the concept of the natural number and differences between the digit and the number:
Natural numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …, 56, …, 99, 100, ...
To write down numbers we use digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, known as the Arabic digits.
Task 1
RoGrsR50Ymoe61Open the slideshow and learn presented information about creating numbers.
RBqKLYUINCGeu1 Task 2
R1LcxINggYeyy1Prepare coloured cards with digits 0, 1, 2 …, 9 and a board drawn on a cardboard according to the following template and then do the exercises.
First task:
RjhioopyPHtXs1Stand in such a way that the digits you represent create a number:
one hundred twenty three millionmillionmillion four hundred fifty six thousand seven hundred and eighty,
four hundred thirty two million eighteen thousand seven hundred ninety five,
four hundred five millionmillionmillion seven hundred sixty one thousand two hundred thirty nine,
seven hundred sixty nine million two hundred forty four thousand three hundred eighty one,
three hundred seventy eight millionmillionmillion two hundred forty one thousand six hundred ninety five.
Second task:
R1II8WrRqajuw1Stand in such a way that the digits you represent make any number. The task of other groups is to sign the presented number with words.
Third task:
R1VpnxpNVrELd1Write a number on the board, 10‑digits maximum. The task of other groups is to create the given number.
Rm1rDKSkmSh2H1Do the exercises using shaped abilities.
Task 3
RFEGf5OtDrfTM1Write down all 3‑digit numbers that can be made of numbers 1, 4 and 7 if:
the digits can be repeated,
digits cannot be repeated.
Task 4
R1AxgMiXXLGKt1Write the smallest and the greatest number:
one digit,
two digit,
three digit.
Task 5
RdCfYvCKfxvVS1Analyse the example presented in the picture.
RP3zKDPe2x9811Write the numbers in this way, that is presenting them in the form of the sum of thousands, hundreds, tens and ones:
265,
678,
306,
1005.
Task 6
An extra task:
Ro06sM4ABWEos1Write all four digit numbers whose sum of digits is equal to 6.
Do the revision exercises.
Important:
R1OF0kE2CsuTY1
Natural numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …, 56, …, 99, 100, …
To write down numbers we use digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, known as the Arabic digits.
Our numerical system is the decimal numeral system.
Names of great numbers:
- MILLIONmillionMILLION – 1 000 000 (thousand thousands),
- BILLIONbillionBILLION – 1 000 000 000 (thousand millions),
- TRILLIONtrillionTRILLION – 1 000 000 000 000 (thousand billions).
Exercises
RL5ceNfGGHJ4VExercise 1
Exercise 2
Which digit is signed in these numbers in the position of hundreds and which in the position of ones?
405,
6352,
1254.
405
H – 4
O – 5
6352
H – 3
O – 2
1254
H – 2
O – 4
Exercise 3
Write the numbers with words in English and Polish:
502 436 479,
548 000 000 500,
698 045.
Exercise 4
R10cbyYTRRfv2 RfZibd42BcqUe1Glossary
billionbillion
miliard – 1 000 000 000 (tysiąc milionów)
RB8fPvZ1zOb5i1 decimal systemdecimal system
system dziesiątkowy
RUAHlbNtPAQNU1 millionmillion
milion - 1 000 000 (tysiąc tysięcy)
R2Mzm2WeTN1tX1 millions groupmillions group
grupa milionów
R1YYNNlotzCHW1 multi‑digit numbersmulti‑digit numbers
liczby wielocyfrowe
RSpLU12ReHDbk1 ones groupones group
grupa jedności
RdRV0My4kix7G1 positional systempositional system
system pozycyjny
RXtaju1zRs4CF1 tens grouptens group
grupa dziesiątek
R1Oqp41ePWudK1 thousands groupthousands group
grupa tysięcy
R1NrmdmFhpGhr1 trilliontrillion
bilion – 1 000 000 000 00 (tysiąc miliardów)
R16NPz4ZyR49O1Keywords
billionbillionbillion – 1 000 000 000 (thousand millions)
millionmillionmillion – 1 000 000 (thousand thousands)
multi‑digit numbersmulti‑digit numbersmulti‑digit numbers
positional systempositional systempositional system
trilliontrilliontrillion – 1 000 000 000 000 (thousand billions)