Addition and Subtraction

Addition and subtraction are the simplest and most basic mathematical operations. Addition combines two or several quantities into a larger quantity (Adding – sign: +), while during subtraction, a number of objects is subtracted from a different number of objects (Subtracting – sign: -). Subtraction is the inverse operation of addition. It has two important property: commutativity and associativity. Commutativity means that the order of elements does not influence the result – you can switch places of the objects you want add and the result will be the same. Associativity means that the order in which you perform adding (when you are trying to add more than two numbers) is not important. For example:

a + (b + c) = (a + b) + c

Another important thing to remember is that adding zero to any other number does not change that number. Five + zero is always five and that is true for all other numbers when zero is added to them.

As for subtraction, it does not share the same properties as addition. When you subtract, the order of elements is very important. As you already know well, five minus three is not the same as three minus five. Zero is neutral in this operation as well – if zero is subtracted from any other number, that number does not change.

addition

Addition and subtraction exams for teachers

Exam Name File Size Downloads Upload date
Addition
Positive integers
Addition of positive integers – very easy 0 B 6307 January 1, 1970
Addition of positive integers – easy 0 B 3510 January 1, 1970
Addition of positive integers – medium 0 B 4078 January 1, 1970
Addition of positive integers – hard 0 B 4203 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2234 January 1, 1970
Addition of positive decimals – easy 0 B 2028 January 1, 1970
Addition of positive decimals – medium 0 B 1896 January 1, 1970
Addition of positive decimals – hard 0 B 1857 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2308 January 1, 1970
Addition of positive fractions – easy 0 B 1981 January 1, 1970
Addition of positive fractions – medium 0 B 1878 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1684 January 1, 1970
Addition of positive fractions – hard 0 B 1564 January 1, 1970
Addition of positive fractions – very hard 0 B 1632 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 2147 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1673 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1728 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1538 January 1, 1970
Addition of positive improper fractions – easy 0 B 1705 January 1, 1970
Addition of positive improper fractions – medium 0 B 1411 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1306 January 1, 1970
Addition of positive improper fractions – hard 0 B 1454 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1442 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2476 January 1, 1970
Addition of integers – easy 0 B 2290 January 1, 1970
Addition of integers – medium 0 B 2380 January 1, 1970
Addition of integers – medium-hard 0 B 1891 January 1, 1970
Addition of integers – hard 0 B 1779 January 1, 1970
Addition of integers – very hard 0 B 1878 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1487 January 1, 1970
Addition of decimals – easy 0 B 1519 January 1, 1970
Addition of decimals – medium 0 B 1444 January 1, 1970
Addition of decimals – medium-hard 0 B 1479 January 1, 1970
Addition of decimals – hard 0 B 1367 January 1, 1970
Addition of decimals – very hard 0 B 1418 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1567 January 1, 1970
Addition of fractions – easy 0 B 1606 January 1, 1970
Addition of fractions – medium 0 B 1563 January 1, 1970
Addition of fractions – medium-hard 0 B 1465 January 1, 1970
Addition of fractions – hard 0 B 1414 January 1, 1970
Addition of fractions – very hard 0 B 1340 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1486 January 1, 1970
Addition of improper fractions – easy 0 B 1748 January 1, 1970
Addition of improper fractions – medium 0 B 1442 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1380 January 1, 1970
Addition of improper fractions – hard 0 B 1379 January 1, 1970
Addition of improper fractions – very hard 0 B 1381 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2877 January 1, 1970
Addition and subtraction of integers – easy 0 B 2631 January 1, 1970
Addition and subtraction of integers – medium 0 B 2761 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1995 January 1, 1970
Addition and subtraction of integers – hard 0 B 1835 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1885 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1555 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1572 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1566 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1445 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1513 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1464 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1879 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 2027 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1620 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1437 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1413 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1455 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1698 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1485 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1483 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1423 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1610 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1359 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1242 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1297 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1351 January 1, 1970

 

Addition and subtraction worksheets for students

Students can practice learned by solving this worksheets:

Worksheet Name File Size Downloads Upload date
Addition and subtraction integers 0 B 3432 January 1, 1970
Addition and subtraction decimals 0 B 1943 January 1, 1970
Addition and subtraction fractions 0 B 2066 January 1, 1970
Addition and subtraction mixed numbers 0 B 1692 January 1, 1970
Addition and subtraction improper fractions 0 B 1688 January 1, 1970

Addition and subtraction knowledge test