Long addition of natural numbers
Dodawanie liczb naturalnych sposobem pisemnym
Learning objectives
You will learn to add natural numbers using the long method.
Learning effect
You apply long addition of natural numbers to do text exercises.
Revise various methods of mental additionaddition of natural numbers.
Do additionaddition using the calculator:
155 + 234
135 + 288
Think:
Do we always carry calculator with ourselves?
Is it easy to make such calculations mentally?
Open the slideshow and observe how we perform long addition of natural numberslong addition of natural numbers. After having completed the exercise, present results of your observations.

Zasób interaktywny dostępny pod adresem https://zpe.gov.pl/a/D1DI4V2Cq
Conclusions:
Long addition of natural numbersLong addition of natural numbers starts with writing numbers under one another, in such a way that ones are under ones, tens under tens, etc. We put a lineline under the numbers.
Then we add ones and write the result under the lineline, in the place of ones. Then we add tens and write the result under the lineline, in the place of tens, etc.
If during additionaddition in one of the places we exceed the ten threshold, then we add the first digit to the higher place.
Do the long addition:
254 + 645
6325 + 1564
2645 + 9654
3698 + 4587
Do the exercises by performing long additionaddition. Give the answers:
36 students from IV class, 47 from V class and 46 from VII class took part in the mathematical contest. How many students from this school were taking part in this contest?
Tomek has 125 stickers and Marcel has 30 stickers more. How many stickers do they have together?
Magda had 365 zł. Her granddad gave her 350 zł and her aunt 300 zł. Does she have enough savings to buy a bike that costs 1000 zł?
Using the ‘Price cards’ do the ‘shopping’ in such a way that the amount you spend is as high as possible but does not exceed 1000 zł.
Ham | Ice cream | Bread crumbs |
Baguette | Bread | Juice |
Sparking water | Sausages | Yellow cheese |
Milk | Notebook A4 | Margarine |
Set of 3 pens | Set of 12 markers | Milk chocolate |
Paper towels | Dish soap | Fabric softener |
Washing capsules | Tissues | A1 batteries |
Toothpaste | Toothbrush | Dishwasher tablets |
Shaving cream | Female perfume | Hair shampoo |
Liquid handsoap | Cookbook | Backpack |
An extra task:
In the magical squaremagical square the sum of numberssum of numbers written along each diagonal, each column and each row is the same. The numbers cannot be repeated. Fill in the picture so that is shows a magical squaremagical square.
16 | 2 | 13 | |
10 | 8 | ||
9 | 7 | ||
14 | 1 |
Do the revision exercises.
Remember:
Long addition of natural numbersLong addition of natural numbers starts with writing numbers under one another, in such a way that ones are under ones, tens under tens, etc. We put a lineline under the numbers.
Then we add ones and write the result under the lineline, in the row of ones. Then we add tens and write the result under the lineline, in the row of tens, etc.
If during additionaddition in one of the rows we exceed the ten threshold, then we add the first digit to the higher row.
Exercises
Adam and his parents made a road trip. From Warsaw they went to Berlin and then from Berlin to Paris. How many kilometres did they make, if from Warsaw to Berlin there is 575 km and from Berlin do Paris 1065 km?
- 1645 km
- 1630 km
- 1640 km
- 1635 km
Calculate using the long method:
452 + 365
258 + 3695
2542 + 1237 + 548
Find information about the number of inhabitants of each voivodeship in 2017. How many people together inhabited the three most populated voivodeships?
Write the appropriate calculation. Give the answer in English.
Indicate which pairs of expressions or words are translated correctly.
- dodawanie liczb naturalnych sposobem pisemnym - long addition of natural numbers
- przekroczenie progu dziesiątkowego - exceeding the ten threshold
- rząd jedności - the ones row
- rząd dziesiątek - the tens row
- rząd tysięcy - the hundreds row
- rząd setek - the thousands row
- the tens row
- dodawanie liczb naturalnych sposobem pisemnym
- rząd dziesiątek
- rząd setek
- the magical square
- the hundreds row
- kwadrat magiczny
- long addition of natural numbers
- rząd jedności
- the ones row
Glossary
dodawanie
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: addition
przekroczenie progu dziesiątkowego
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: exceeding the ten treshold
rząd setek
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: hundreds row
prosta
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: line
dodawanie liczb naturalnych sposobem pisemnym
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: long addition of natural numbers
kwadrat magiczny
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: magical square
rząd jedności
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: ones row
suma liczb
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: sum of numbers
rząd dziesiątek
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: tens row
rząd tysięcy
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: thousands row
Keywords
hundreds rowhundreds row
long addition of natural numberslong addition of natural numbers - starts with writing numbers under one another, in such a way that ones are under ones, tens under tens, etc.
magical squaremagical square - the sum of numbers written along each diagonal, each column and each row is the same
ones rowones row
tens rowtens row