Written methods of addition and subtraction
Dodawanie i odejmowanie pisemne liczb naturalnych
Learning objectives
You will discover the method of carrying out the operations of addition and subtraction of the natural numbers at the same time.
Learning effect
You add and subtract the natural numbers using the written method.
You use the proper order of operations.
You use English to describe the method of adding and subtracting the natural numbers using the written method.
Introduction
Prepare and bring to the class the sheet of paper with sixteen squares of the same size drawn in two rows. There are ten squares in the first raw and six ones in the second raw.
In the squares of the first row write step by step one of the following operations:
4506 + 324; 12000 – 5634; 1029 + 3 234 + 9720; 8935 – 2812; 9023 + 2123; 7834 + 9034; 6806 – 2453; 709 + 2345 + 876; 10053 – 7342; 7521 – 2900.In the squares of the second row write step by step one of the following operations:
(6780 – 2344) + 1024; 11534 – 213 – 5439; 1238 + (6345 – 5999); 13409 – (6734 + 2046); 5467 – 3200 + 4003; 9745 – 5301– 807.A set of sixteen cards. There is one of the following writings on them:
4621 A; 2711 K; 4353 W; 3930 S; 6366 K; 13983 Ł; 4830 S, 6123 O; 5882 C; 1584 U; 6270 I; 3637 E; 1 1146 D; 16868 O; 5460 -; 4629 R.
Revise the addition and the subtraction of the natural numbersnatural numbers and the order of operations.
Today you are going to add and subtract the number using the written method.
![](https://static.zpe.gov.pl/portal/f/res-minimized/R11QrCNRhTw7d/1/Gi1Zt5XpXq7acn6FZfLp5gdogoph4olY.png)
Zasób interaktywny dostępny pod adresem https://zpe.gov.pl/a/D7fkdM5dr
Consider:
Which operations should be done first: addition or subtraction? What is the order of the operations in brackets? How can we add and subtract the natural numbersnatural numbers using the written method?
We do the operations in brackets first.
We do the addition and the subtraction at the same time depending on the order of their appearance. To add and subtract the natural numbersnatural numbers using the written methods we should write unitsunits below unitsunits, tenstens below tenstens, hundredshundreds below hundredshundreds etc.
We start addition or subtraction from the right side so from the row of unitsunits.
Use a set of 16 cards with the various operations you have prepared for the lesson. Using the written method complete the operations presented in the card. Next, find the card with the correct result and place it in the appropriate square. The letters read from the left side make the key word - the name of Polish Nobel laureate.
Calculate using the written method:
10562 - (7734 + 876)
9108 + (3211 - 598)
12400 - 6006 + 1288
Write the task in the form of the arithmetic expression and calculate its value:
Increase the number 6789 by the differencedifference of the numbers 9004 and 4513.
Subtract the number 3025 from the differencedifference of numbers 20765 and 15678.
Add the sumsum of the numbers 8796 and 4035 to their differencedifference.
Fill the places of * with the appropriate digits:
![Rysunek przedstawia zapis dwóch działań pisemnych. Zamiast gwiazdki należy wstawić odpowiednią cyfrę,tak aby działanie było prawdziwe. w punkcie a: 8*** dodać 538 pod kreską *817, w punkcie b: 310* odjąć **7 pod kreską *126.](https://static.zpe.gov.pl/portal/f/res-minimized/RjGje3ovjzher/1/IZ1eOl0JSAXObSSkA79lPWmCABHVu4Ni.png)
Remember:
We do the operations in brackets first.
We do the addition and the subtraction at the same time depending on the order of their appearance.
To add and subtract the natural numbersnatural numbers using the written methods we should write unitsunits below unitsunits, tenstens below tenstens, hundredshundreds below hundredshundreds etc. We start addition or subtraction from the right side so from the row of unitsunits.
Exercises
Determine which sentences are true.
- The result of the operation 3009 - 987 is the even number.
- The sum of two natural numbers is always less than their difference.
- The result of the operation (2451 – 345) + 678 equals the result of the operation 2451 – 345 + 678.
- The difference of the numbers 23000 and 7908 is larger than 15000.
- In the operation (4329 – 2158) + (11200 – 4356) addition is the last.
Use the written method to add the difference of the numbers 3418 i 856 to their sum.
Use the written method to calculate:
4067 + 982
65302 + 3456 + 5015
7135 – 4249
65000 – 8705
Describe the written method of adding and subtracting the natural numbers in English.
Indicate which pairs of expressions or words are translated correctly.
- dodawanie pisemne - written addition
- odejmowanie pisemne - written subtraction
- suma - sum
- różnica - difference
- jedności - hundreds
- dziesiątki - thousands
- difference
- natural numbers
- written addition
- liczby naturalne
- written subtraction
- różnica
- odejmowanie pisemne
- dodawanie pisemne
- sum
- suma
Glossary
różnica – wynik odejmowania
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: difference
części setne
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wymowa w języku angielskim: hundreds
liczby naturalne - 0, 1, 2, 3, 4, …
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: natural numbers
noblista
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: Nobel prize winner
suma - wynik dodawania
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: sum
cyfry dziesiątek
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: tens
tysiące
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: thousands
jedności
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: units
dodawanie pisemne
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: written addition
odejmowanie pisemne
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: written subtraction
Keywords
differencedifference
natural numbersnatural numbers
sumsum
written additionwritten addition
written subtractionwritten subtraction