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 5721 January 1, 1970
Addition of positive integers – easy 0 B 3170 January 1, 1970
Addition of positive integers – medium 0 B 3713 January 1, 1970
Addition of positive integers – hard 0 B 3800 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2051 January 1, 1970
Addition of positive decimals – easy 0 B 1878 January 1, 1970
Addition of positive decimals – medium 0 B 1717 January 1, 1970
Addition of positive decimals – hard 0 B 1704 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2083 January 1, 1970
Addition of positive fractions – easy 0 B 1808 January 1, 1970
Addition of positive fractions – medium 0 B 1714 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1525 January 1, 1970
Addition of positive fractions – hard 0 B 1436 January 1, 1970
Addition of positive fractions – very hard 0 B 1481 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1931 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1518 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1583 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1383 January 1, 1970
Addition of positive improper fractions – easy 0 B 1563 January 1, 1970
Addition of positive improper fractions – medium 0 B 1264 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1186 January 1, 1970
Addition of positive improper fractions – hard 0 B 1327 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1305 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2241 January 1, 1970
Addition of integers – easy 0 B 2092 January 1, 1970
Addition of integers – medium 0 B 2192 January 1, 1970
Addition of integers – medium-hard 0 B 1729 January 1, 1970
Addition of integers – hard 0 B 1636 January 1, 1970
Addition of integers – very hard 0 B 1731 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1342 January 1, 1970
Addition of decimals – easy 0 B 1367 January 1, 1970
Addition of decimals – medium 0 B 1301 January 1, 1970
Addition of decimals – medium-hard 0 B 1355 January 1, 1970
Addition of decimals – hard 0 B 1235 January 1, 1970
Addition of decimals – very hard 0 B 1286 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1407 January 1, 1970
Addition of fractions – easy 0 B 1452 January 1, 1970
Addition of fractions – medium 0 B 1425 January 1, 1970
Addition of fractions – medium-hard 0 B 1344 January 1, 1970
Addition of fractions – hard 0 B 1297 January 1, 1970
Addition of fractions – very hard 0 B 1211 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1331 January 1, 1970
Addition of improper fractions – easy 0 B 1618 January 1, 1970
Addition of improper fractions – medium 0 B 1310 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1255 January 1, 1970
Addition of improper fractions – hard 0 B 1250 January 1, 1970
Addition of improper fractions – very hard 0 B 1260 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2574 January 1, 1970
Addition and subtraction of integers – easy 0 B 2391 January 1, 1970
Addition and subtraction of integers – medium 0 B 2535 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1816 January 1, 1970
Addition and subtraction of integers – hard 0 B 1675 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1702 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1423 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1441 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1417 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1316 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1388 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1344 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1696 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1862 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1459 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1327 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1292 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1340 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1542 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1354 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1373 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1304 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1479 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1246 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1142 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1191 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1232 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 3129 January 1, 1970
Addition and subtraction decimals 0 B 1786 January 1, 1970
Addition and subtraction fractions 0 B 1873 January 1, 1970
Addition and subtraction mixed numbers 0 B 1522 January 1, 1970
Addition and subtraction improper fractions 0 B 1553 January 1, 1970

Addition and subtraction knowledge test