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 5232 January 1, 1970
Addition of positive integers – easy 0 B 2861 January 1, 1970
Addition of positive integers – medium 0 B 3421 January 1, 1970
Addition of positive integers – hard 0 B 3464 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 1848 January 1, 1970
Addition of positive decimals – easy 0 B 1728 January 1, 1970
Addition of positive decimals – medium 0 B 1572 January 1, 1970
Addition of positive decimals – hard 0 B 1552 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 1879 January 1, 1970
Addition of positive fractions – easy 0 B 1643 January 1, 1970
Addition of positive fractions – medium 0 B 1572 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1383 January 1, 1970
Addition of positive fractions – hard 0 B 1304 January 1, 1970
Addition of positive fractions – very hard 0 B 1359 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1736 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1377 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1464 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1237 January 1, 1970
Addition of positive improper fractions – easy 0 B 1434 January 1, 1970
Addition of positive improper fractions – medium 0 B 1140 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1074 January 1, 1970
Addition of positive improper fractions – hard 0 B 1197 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1185 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 1968 January 1, 1970
Addition of integers – easy 0 B 1911 January 1, 1970
Addition of integers – medium 0 B 2005 January 1, 1970
Addition of integers – medium-hard 0 B 1570 January 1, 1970
Addition of integers – hard 0 B 1487 January 1, 1970
Addition of integers – very hard 0 B 1584 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1209 January 1, 1970
Addition of decimals – easy 0 B 1231 January 1, 1970
Addition of decimals – medium 0 B 1187 January 1, 1970
Addition of decimals – medium-hard 0 B 1227 January 1, 1970
Addition of decimals – hard 0 B 1125 January 1, 1970
Addition of decimals – very hard 0 B 1169 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1269 January 1, 1970
Addition of fractions – easy 0 B 1328 January 1, 1970
Addition of fractions – medium 0 B 1297 January 1, 1970
Addition of fractions – medium-hard 0 B 1226 January 1, 1970
Addition of fractions – hard 0 B 1184 January 1, 1970
Addition of fractions – very hard 0 B 1098 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1205 January 1, 1970
Addition of improper fractions – easy 0 B 1494 January 1, 1970
Addition of improper fractions – medium 0 B 1194 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1145 January 1, 1970
Addition of improper fractions – hard 0 B 1140 January 1, 1970
Addition of improper fractions – very hard 0 B 1148 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2274 January 1, 1970
Addition and subtraction of integers – easy 0 B 2203 January 1, 1970
Addition and subtraction of integers – medium 0 B 2327 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1645 January 1, 1970
Addition and subtraction of integers – hard 0 B 1542 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1555 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1283 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1332 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1301 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1212 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1276 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1224 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1530 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1721 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1336 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1217 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1172 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1223 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1381 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1213 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1242 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1192 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1364 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1136 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1052 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1083 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1140 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 2763 January 1, 1970
Addition and subtraction decimals 0 B 1637 January 1, 1970
Addition and subtraction fractions 0 B 1715 January 1, 1970
Addition and subtraction mixed numbers 0 B 1372 January 1, 1970
Addition and subtraction improper fractions 0 B 1427 January 1, 1970


Addition and subtraction knowledge test