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 5995 January 1, 1970
Addition of positive integers – easy 0 B 3342 January 1, 1970
Addition of positive integers – medium 0 B 3902 January 1, 1970
Addition of positive integers – hard 0 B 3980 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2140 January 1, 1970
Addition of positive decimals – easy 0 B 1940 January 1, 1970
Addition of positive decimals – medium 0 B 1796 January 1, 1970
Addition of positive decimals – hard 0 B 1772 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2209 January 1, 1970
Addition of positive fractions – easy 0 B 1895 January 1, 1970
Addition of positive fractions – medium 0 B 1789 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1603 January 1, 1970
Addition of positive fractions – hard 0 B 1486 January 1, 1970
Addition of positive fractions – very hard 0 B 1537 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 2047 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1580 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1643 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1458 January 1, 1970
Addition of positive improper fractions – easy 0 B 1631 January 1, 1970
Addition of positive improper fractions – medium 0 B 1318 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1234 January 1, 1970
Addition of positive improper fractions – hard 0 B 1376 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1356 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2373 January 1, 1970
Addition of integers – easy 0 B 2183 January 1, 1970
Addition of integers – medium 0 B 2286 January 1, 1970
Addition of integers – medium-hard 0 B 1798 January 1, 1970
Addition of integers – hard 0 B 1698 January 1, 1970
Addition of integers – very hard 0 B 1795 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1409 January 1, 1970
Addition of decimals – easy 0 B 1430 January 1, 1970
Addition of decimals – medium 0 B 1356 January 1, 1970
Addition of decimals – medium-hard 0 B 1402 January 1, 1970
Addition of decimals – hard 0 B 1285 January 1, 1970
Addition of decimals – very hard 0 B 1338 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1479 January 1, 1970
Addition of fractions – easy 0 B 1523 January 1, 1970
Addition of fractions – medium 0 B 1490 January 1, 1970
Addition of fractions – medium-hard 0 B 1393 January 1, 1970
Addition of fractions – hard 0 B 1345 January 1, 1970
Addition of fractions – very hard 0 B 1256 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1395 January 1, 1970
Addition of improper fractions – easy 0 B 1675 January 1, 1970
Addition of improper fractions – medium 0 B 1371 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1304 January 1, 1970
Addition of improper fractions – hard 0 B 1302 January 1, 1970
Addition of improper fractions – very hard 0 B 1305 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2736 January 1, 1970
Addition and subtraction of integers – easy 0 B 2520 January 1, 1970
Addition and subtraction of integers – medium 0 B 2639 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1899 January 1, 1970
Addition and subtraction of integers – hard 0 B 1743 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1777 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1475 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1499 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1477 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1366 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1435 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1388 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1795 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1946 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1548 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1368 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1340 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1384 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1611 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1412 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1410 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1349 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1529 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1288 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1179 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1229 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1284 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 3279 January 1, 1970
Addition and subtraction decimals 0 B 1854 January 1, 1970
Addition and subtraction fractions 0 B 1969 January 1, 1970
Addition and subtraction mixed numbers 0 B 1598 January 1, 1970
Addition and subtraction improper fractions 0 B 1603 January 1, 1970

Addition and subtraction knowledge test