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 5150 January 1, 1970
Addition of positive integers – easy 0 B 2816 January 1, 1970
Addition of positive integers – medium 0 B 3372 January 1, 1970
Addition of positive integers – hard 0 B 3414 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 1805 January 1, 1970
Addition of positive decimals – easy 0 B 1699 January 1, 1970
Addition of positive decimals – medium 0 B 1547 January 1, 1970
Addition of positive decimals – hard 0 B 1528 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 1842 January 1, 1970
Addition of positive fractions – easy 0 B 1617 January 1, 1970
Addition of positive fractions – medium 0 B 1544 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1352 January 1, 1970
Addition of positive fractions – hard 0 B 1282 January 1, 1970
Addition of positive fractions – very hard 0 B 1338 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1700 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1354 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1441 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1218 January 1, 1970
Addition of positive improper fractions – easy 0 B 1409 January 1, 1970
Addition of positive improper fractions – medium 0 B 1120 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1053 January 1, 1970
Addition of positive improper fractions – hard 0 B 1178 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1167 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 1922 January 1, 1970
Addition of integers – easy 0 B 1878 January 1, 1970
Addition of integers – medium 0 B 1975 January 1, 1970
Addition of integers – medium-hard 0 B 1538 January 1, 1970
Addition of integers – hard 0 B 1464 January 1, 1970
Addition of integers – very hard 0 B 1562 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1183 January 1, 1970
Addition of decimals – easy 0 B 1209 January 1, 1970
Addition of decimals – medium 0 B 1163 January 1, 1970
Addition of decimals – medium-hard 0 B 1194 January 1, 1970
Addition of decimals – hard 0 B 1097 January 1, 1970
Addition of decimals – very hard 0 B 1146 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1245 January 1, 1970
Addition of fractions – easy 0 B 1304 January 1, 1970
Addition of fractions – medium 0 B 1269 January 1, 1970
Addition of fractions – medium-hard 0 B 1200 January 1, 1970
Addition of fractions – hard 0 B 1162 January 1, 1970
Addition of fractions – very hard 0 B 1082 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1180 January 1, 1970
Addition of improper fractions – easy 0 B 1471 January 1, 1970
Addition of improper fractions – medium 0 B 1171 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1125 January 1, 1970
Addition of improper fractions – hard 0 B 1115 January 1, 1970
Addition of improper fractions – very hard 0 B 1123 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2214 January 1, 1970
Addition and subtraction of integers – easy 0 B 2175 January 1, 1970
Addition and subtraction of integers – medium 0 B 2288 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1610 January 1, 1970
Addition and subtraction of integers – hard 0 B 1512 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1525 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1250 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1307 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1274 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1194 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1253 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1203 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1498 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1685 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1301 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1194 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1150 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1196 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1353 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1196 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1212 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1169 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1340 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1113 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1031 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1064 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1118 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 2713 January 1, 1970
Addition and subtraction decimals 0 B 1617 January 1, 1970
Addition and subtraction fractions 0 B 1687 January 1, 1970
Addition and subtraction mixed numbers 0 B 1347 January 1, 1970
Addition and subtraction improper fractions 0 B 1397 January 1, 1970


Addition and subtraction knowledge test