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 5443 January 1, 1970
Addition of positive integers – easy 0 B 2979 January 1, 1970
Addition of positive integers – medium 0 B 3535 January 1, 1970
Addition of positive integers – hard 0 B 3580 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 1912 January 1, 1970
Addition of positive decimals – easy 0 B 1794 January 1, 1970
Addition of positive decimals – medium 0 B 1628 January 1, 1970
Addition of positive decimals – hard 0 B 1604 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 1955 January 1, 1970
Addition of positive fractions – easy 0 B 1710 January 1, 1970
Addition of positive fractions – medium 0 B 1624 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1427 January 1, 1970
Addition of positive fractions – hard 0 B 1359 January 1, 1970
Addition of positive fractions – very hard 0 B 1409 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1805 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1436 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1512 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1298 January 1, 1970
Addition of positive improper fractions – easy 0 B 1489 January 1, 1970
Addition of positive improper fractions – medium 0 B 1195 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1125 January 1, 1970
Addition of positive improper fractions – hard 0 B 1248 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1237 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2085 January 1, 1970
Addition of integers – easy 0 B 1983 January 1, 1970
Addition of integers – medium 0 B 2079 January 1, 1970
Addition of integers – medium-hard 0 B 1627 January 1, 1970
Addition of integers – hard 0 B 1548 January 1, 1970
Addition of integers – very hard 0 B 1641 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1261 January 1, 1970
Addition of decimals – easy 0 B 1283 January 1, 1970
Addition of decimals – medium 0 B 1234 January 1, 1970
Addition of decimals – medium-hard 0 B 1280 January 1, 1970
Addition of decimals – hard 0 B 1169 January 1, 1970
Addition of decimals – very hard 0 B 1217 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1325 January 1, 1970
Addition of fractions – easy 0 B 1374 January 1, 1970
Addition of fractions – medium 0 B 1345 January 1, 1970
Addition of fractions – medium-hard 0 B 1274 January 1, 1970
Addition of fractions – hard 0 B 1230 January 1, 1970
Addition of fractions – very hard 0 B 1147 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1250 January 1, 1970
Addition of improper fractions – easy 0 B 1543 January 1, 1970
Addition of improper fractions – medium 0 B 1243 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1191 January 1, 1970
Addition of improper fractions – hard 0 B 1187 January 1, 1970
Addition of improper fractions – very hard 0 B 1197 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2400 January 1, 1970
Addition and subtraction of integers – easy 0 B 2282 January 1, 1970
Addition and subtraction of integers – medium 0 B 2409 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1720 January 1, 1970
Addition and subtraction of integers – hard 0 B 1590 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1620 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1338 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1376 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1351 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1252 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1318 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1275 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1600 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1779 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1382 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1264 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1222 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1272 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1441 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1266 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1298 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1249 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1408 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1190 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1092 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1131 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1180 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 2897 January 1, 1970
Addition and subtraction decimals 0 B 1698 January 1, 1970
Addition and subtraction fractions 0 B 1776 January 1, 1970
Addition and subtraction mixed numbers 0 B 1434 January 1, 1970
Addition and subtraction improper fractions 0 B 1480 January 1, 1970


Addition and subtraction knowledge test