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 5901 January 1, 1970
Addition of positive integers – easy 0 B 3276 January 1, 1970
Addition of positive integers – medium 0 B 3830 January 1, 1970
Addition of positive integers – hard 0 B 3913 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2107 January 1, 1970
Addition of positive decimals – easy 0 B 1915 January 1, 1970
Addition of positive decimals – medium 0 B 1762 January 1, 1970
Addition of positive decimals – hard 0 B 1740 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2163 January 1, 1970
Addition of positive fractions – easy 0 B 1866 January 1, 1970
Addition of positive fractions – medium 0 B 1765 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1577 January 1, 1970
Addition of positive fractions – hard 0 B 1469 January 1, 1970
Addition of positive fractions – very hard 0 B 1515 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 2001 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1557 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1622 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1429 January 1, 1970
Addition of positive improper fractions – easy 0 B 1604 January 1, 1970
Addition of positive improper fractions – medium 0 B 1299 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1213 January 1, 1970
Addition of positive improper fractions – hard 0 B 1358 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1335 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2336 January 1, 1970
Addition of integers – easy 0 B 2158 January 1, 1970
Addition of integers – medium 0 B 2257 January 1, 1970
Addition of integers – medium-hard 0 B 1779 January 1, 1970
Addition of integers – hard 0 B 1679 January 1, 1970
Addition of integers – very hard 0 B 1775 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1382 January 1, 1970
Addition of decimals – easy 0 B 1410 January 1, 1970
Addition of decimals – medium 0 B 1338 January 1, 1970
Addition of decimals – medium-hard 0 B 1382 January 1, 1970
Addition of decimals – hard 0 B 1267 January 1, 1970
Addition of decimals – very hard 0 B 1320 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1460 January 1, 1970
Addition of fractions – easy 0 B 1501 January 1, 1970
Addition of fractions – medium 0 B 1471 January 1, 1970
Addition of fractions – medium-hard 0 B 1375 January 1, 1970
Addition of fractions – hard 0 B 1327 January 1, 1970
Addition of fractions – very hard 0 B 1241 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1370 January 1, 1970
Addition of improper fractions – easy 0 B 1656 January 1, 1970
Addition of improper fractions – medium 0 B 1348 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1289 January 1, 1970
Addition of improper fractions – hard 0 B 1280 January 1, 1970
Addition of improper fractions – very hard 0 B 1284 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2682 January 1, 1970
Addition and subtraction of integers – easy 0 B 2480 January 1, 1970
Addition and subtraction of integers – medium 0 B 2613 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1872 January 1, 1970
Addition and subtraction of integers – hard 0 B 1721 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1757 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1456 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1478 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1452 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1347 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1420 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1369 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1772 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1928 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1525 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1357 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1325 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1370 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1591 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1395 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1399 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1331 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1514 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1274 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1167 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1213 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1267 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 3232 January 1, 1970
Addition and subtraction decimals 0 B 1833 January 1, 1970
Addition and subtraction fractions 0 B 1948 January 1, 1970
Addition and subtraction mixed numbers 0 B 1570 January 1, 1970
Addition and subtraction improper fractions 0 B 1586 January 1, 1970

Addition and subtraction knowledge test