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 5369 January 1, 1970
Addition of positive integers – easy 0 B 2941 January 1, 1970
Addition of positive integers – medium 0 B 3506 January 1, 1970
Addition of positive integers – hard 0 B 3542 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 1884 January 1, 1970
Addition of positive decimals – easy 0 B 1783 January 1, 1970
Addition of positive decimals – medium 0 B 1609 January 1, 1970
Addition of positive decimals – hard 0 B 1584 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 1922 January 1, 1970
Addition of positive fractions – easy 0 B 1688 January 1, 1970
Addition of positive fractions – medium 0 B 1607 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1414 January 1, 1970
Addition of positive fractions – hard 0 B 1342 January 1, 1970
Addition of positive fractions – very hard 0 B 1392 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1779 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1416 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1498 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1278 January 1, 1970
Addition of positive improper fractions – easy 0 B 1475 January 1, 1970
Addition of positive improper fractions – medium 0 B 1176 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1107 January 1, 1970
Addition of positive improper fractions – hard 0 B 1231 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1221 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2050 January 1, 1970
Addition of integers – easy 0 B 1963 January 1, 1970
Addition of integers – medium 0 B 2062 January 1, 1970
Addition of integers – medium-hard 0 B 1606 January 1, 1970
Addition of integers – hard 0 B 1527 January 1, 1970
Addition of integers – very hard 0 B 1624 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1245 January 1, 1970
Addition of decimals – easy 0 B 1269 January 1, 1970
Addition of decimals – medium 0 B 1220 January 1, 1970
Addition of decimals – medium-hard 0 B 1266 January 1, 1970
Addition of decimals – hard 0 B 1159 January 1, 1970
Addition of decimals – very hard 0 B 1204 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1306 January 1, 1970
Addition of fractions – easy 0 B 1361 January 1, 1970
Addition of fractions – medium 0 B 1329 January 1, 1970
Addition of fractions – medium-hard 0 B 1261 January 1, 1970
Addition of fractions – hard 0 B 1219 January 1, 1970
Addition of fractions – very hard 0 B 1134 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1232 January 1, 1970
Addition of improper fractions – easy 0 B 1531 January 1, 1970
Addition of improper fractions – medium 0 B 1227 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1177 January 1, 1970
Addition of improper fractions – hard 0 B 1170 January 1, 1970
Addition of improper fractions – very hard 0 B 1183 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2356 January 1, 1970
Addition and subtraction of integers – easy 0 B 2261 January 1, 1970
Addition and subtraction of integers – medium 0 B 2387 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1702 January 1, 1970
Addition and subtraction of integers – hard 0 B 1574 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1598 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1319 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1364 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1339 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1241 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1305 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1258 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1575 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1763 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1367 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1246 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1210 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1255 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1423 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1251 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1279 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1232 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1395 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1175 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1078 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1117 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1168 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 2853 January 1, 1970
Addition and subtraction decimals 0 B 1676 January 1, 1970
Addition and subtraction fractions 0 B 1757 January 1, 1970
Addition and subtraction mixed numbers 0 B 1416 January 1, 1970
Addition and subtraction improper fractions 0 B 1459 January 1, 1970


Addition and subtraction knowledge test