Addition and subtraction tables are used to teach children to count or to test their skills in addition and subtraction. These two tasks use different tables. Both versions of the tables can be downloaded and printed.
Addition table up to 20 print and download
The addition table is used to teach children. The vertical leftmost column and the horizontal top row are summands. In order to add two numbers, you need to find them in a vertical column and in a horizontal row. The intersection forms the sum of these two terms. For example, as shown in the figure below, 6 + 5 = 11.
You can print the addition table up to 20 in Word or PDF format. If you need an addition table up to 10, it can be easily done by deleting unnecessary cells in the Word format.
Subtraction table up to 20 print and download
The subtraction table uses the same addition table that can be printed above. Suppose we need to solve the example 14 - 8 = 6. Using the subtraction table, we find in the table field a diagonal with a decreasing 14. In the figure below, this diagonal is highlighted in light green. We select the number 14 on this diagonal, which is opposite the subtracted 8. The resulting number 6 in the top row is the answer.
Subtraction table without answers print and download
subtraction), the inverse of addition. Denoted with a minus sign "-". This is an action by which the sum and one of the terms can be used to find the second term.The number to be subtracted from is called minuend, and the number to be subtracted is subtrahend. The result of subtraction operations is called difference.
Let us know: the sum of 2 numbers c and b equals a, so the difference a−c will b, and the difference a−b will c.
It is most convenient to subtract using the “in a column” method.
subtraction table.
For easier and faster mastering of the subtraction process, view and memorize the subtraction table up to ten for grade 2:
Properties of subtraction of natural numbers.
- Subtraction, as a process, does NOT have the commutative property: a−b≠b−a.
- The difference of identical numbers is equal to zero: a−a=0.
- Subtracting the sum of 2 integers from an integer: a−(b+c)=(a−b)−c.
- Subtracting a number from the sum of 2 numbers: (a+b)−c=(a−c)+b=a+(b−c).
- The distributive property of multiplication with respect to subtraction: a (b−c)=a b−a c and (a−b) c=a c−b c.
- And all other properties of subtraction of integers (natural numbers).
Let's consider some of them:
The property of subtracting two equal natural numbers.
The difference of 2 identical natural numbers is equal to zero.
a−a=0,
where a- any natural number.
Subtraction of natural numbers does NOT have the commutative property.
From the property described above, it can be seen that for 2 identical natural numbers, the commutative property of subtraction works. In all other cases (if the minuend ≠ the subtrahend), the subtraction of natural numbers does not have a commutative property. Or, to put it another way, the minuend and the subtrahend are not interchanged.
When the minuend is greater than the subtrahend and we decide to swap them, then we will subtract from the natural number, which is less, the natural number, which is greater. This system does not correspond to the essence of the subtraction of natural numbers.
If a and b unequal natural numbers a−b≠b−a. For example, 45−21≠21−45.
The property of subtracting the sum of two numbers from a natural number.
To subtract from the indicated natural number the required sum of 2 natural numbers is the same, if the 1st term of the required sum is subtracted from the indicated natural number, then the 2nd term is subtracted from the calculated difference.
It can be expressed in letters like this:
a−(b+c)=(a−b)−c,
where a, b and c- natural numbers, the conditions must be met a>b+c or a=b+c.
The property of subtracting a natural number from the sum of two numbers.
Subtracting a natural number from the sum of 2 numbers is the same as subtracting a number from one of the terms, and then adding the difference and the other term. The subtracted number can NOT be greater than the term from which this number is subtracted.
Let a, b and c- integers. So if a more or equal c, equality (a+b)−c=(a−c)+b will be true, and if b more or equal c, then: (a+b)−c=a+(b−c). When and a and b more or equal c, so both last equalities hold, and they can be written like this:
(a+b)−c=(a−c)+b= a+(b−c).
1. Solve the equations
X + 3 \u003d 10 X - 5 \u003d 5 9 - X \u003d 4 3 + X \u003d 7 X - 4 \u003d 1
9 + X \u003d 15 10 - X \u003d 7 X - 5 \u003d 6 10 - X \u003d 7 X + 8 \u003d 10
2 + X \u003d 9 X - 8 \u003d 10 X + 20 \u003d 50 50 - X \u003d 20 X - 10 \u003d 60
X - 40 \u003d 30 60 + X \u003d 100 X -80 \u003d 100 30 - X \u003d 10 X + 20 \u003d 30
2. Solve problems
On the first day, 20 trees were planted near the school, on the second day - 10 trees. How many trees were planted?
There were 4 fir trees near the school. Planted 6 more trees. How many firs have become?
There are 10 bushes of yellow and red raspberries in the garden. Yellow raspberry 8 bushes. How many bushes of red raspberries?
There were 50 flowers in the flower bed. plucked 20 flowers. How many flowers are left?
When Igor solved 20 examples, he had 10 more examples to solve. How many examples did Igor need to solve?
The hostess bought 3 kg of apples, and 2 kg more pears. How many kg of fruit did the hostess buy in total? (make inverse problems)
In the morning, 10 roses bloomed on one bush, and 3 less roses on the other. How many roses bloomed on two bushes?
Andrey caught 6 crayfish, and Sasha caught 5 more crayfish. How many crayfish did the boys catch? (make inverse problems)
The length of the whale's head is 4m, and the body is 5m longer. What is the overall length of the body?
We bought 8kg of apples and 2kg of pears. Compote was cooked from 3 kg of fruit. How many kg of fruit are left?
Under one apple tree there were 20 apples, and under the other - 10 apples. Hedgehog dragged 30 apples. How many apples left?
The barrel contained 50 liters of water. Used up 30 liters How many liters of water are left?
Masha was bought 7dm of blue ribbon and 3m of red. How many dm tapes did Masha buy in total?
Addition and subtraction tables are used to teach children to count or to test their skills in addition and subtraction. These two tasks use different tables. Both versions of the tables can be downloaded and printed on this page
Addition table up to 20 print and download
The addition table is used to teach children. The vertical leftmost column and the horizontal top row are summands. In order to add two numbers, you need to find them in a vertical column and in a horizontal row. The intersection forms the sum of these two terms. For example, as shown in the figure below, 6 + 5 = 11.
You can print the addition table up to 20 in Word or PDF format. If you need an addition table up to 10, it can be easily done by deleting unnecessary cells in the Word format. If you need an addition table more than up to 20, then you can download the addition table in Excel format and add the necessary columns and rows by copying.
Subtraction table up to 20 print and download
The subtraction table uses the same addition table that can be printed above. Suppose we need to solve the example 14 - 8 = 6. Using the subtraction table, we find in the table field a diagonal with a decreasing 14. In the figure below, this diagonal is highlighted in light green. We select the number 14 on this diagonal, which is opposite the subtracted 8. The resulting number 6 in the top row is the answer.
As you can see, the same addition and subtraction table is used for addition and subtraction, which you can print or download from the links above in different formats.
Subtraction table without answers print and download
Based on the layout of the subtraction table with answers in Excel format, if necessary, you can make other subtraction tables, for example, large values, up to 20, up to 30, etc.