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 numbersnatural numbers and the order of operations.
Today you are going to add and subtract the number using the written method.
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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 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 numbersnatural numbers using the written methods we should write unitsunitsunits below unitsunitsunits, tenstenstens below tenstenstens, hundredshundredshundreds below hundredshundredshundreds etc.
We start addition or subtraction from the right side so from the row of unitsunitsunits.
Task 1
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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.
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The key world: Skłodowska‑Curie
Task 2
Use your computer to answer the following questions:
What name did Skłodowska‑Curie have?
Who was she? When did she live?
In which century? How many times did she get the Nobel prize?
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Maria Skłodowska‑Curie was the Polish scientist.
She lived at the turn of the 19th and the 20th century.
She has won the Nobel prize twice: the first one in the field of physics, the second one in the chemistry.
Task 3
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Calculate using the written method:
10562 - (7734 + 876)
9108 + (3211 - 598)
12400 - 6006 + 1288
Task 4
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Write the task in the form of the arithmetic expression and calculate its value:
Increase the number 6789 by the differencedifferencedifference of the numbers 9004 and 4513.
Subtract the number 3025 from the differencedifferencedifference of numbers 20765 and 15678.
Add the sumsumsum of the numbers 8796 and 4035 to their differencedifferencedifference.
Task 5
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Fill the places of * with the appropriate digits:
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Remember:
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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 numbersnatural numbers using the written methods we should write unitsunitsunits below unitsunitsunits, tenstenstens below tenstenstens, hundredshundredshundreds below hundredshundredshundreds etc. We start addition or subtraction from the right side so from the row of unitsunitsunits.
Exercises
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Exercise 1
Exercise 2
Use the written method to add the difference of the numbers 3418 i 856 to their sum.
3418 + 856 = 4274
3418 – 856 = 2562
4274 + 2562 = 6836
Exercise 3
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.