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 6086 January 1, 1970
Addition of positive integers – easy 0 B 3388 January 1, 1970
Addition of positive integers – medium 0 B 3944 January 1, 1970
Addition of positive integers – hard 0 B 4028 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2167 January 1, 1970
Addition of positive decimals – easy 0 B 1964 January 1, 1970
Addition of positive decimals – medium 0 B 1822 January 1, 1970
Addition of positive decimals – hard 0 B 1802 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2240 January 1, 1970
Addition of positive fractions – easy 0 B 1921 January 1, 1970
Addition of positive fractions – medium 0 B 1814 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1628 January 1, 1970
Addition of positive fractions – hard 0 B 1513 January 1, 1970
Addition of positive fractions – very hard 0 B 1556 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 2081 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1606 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1670 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1487 January 1, 1970
Addition of positive improper fractions – easy 0 B 1655 January 1, 1970
Addition of positive improper fractions – medium 0 B 1338 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1258 January 1, 1970
Addition of positive improper fractions – hard 0 B 1399 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1382 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2409 January 1, 1970
Addition of integers – easy 0 B 2225 January 1, 1970
Addition of integers – medium 0 B 2321 January 1, 1970
Addition of integers – medium-hard 0 B 1827 January 1, 1970
Addition of integers – hard 0 B 1726 January 1, 1970
Addition of integers – very hard 0 B 1822 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1432 January 1, 1970
Addition of decimals – easy 0 B 1459 January 1, 1970
Addition of decimals – medium 0 B 1386 January 1, 1970
Addition of decimals – medium-hard 0 B 1420 January 1, 1970
Addition of decimals – hard 0 B 1308 January 1, 1970
Addition of decimals – very hard 0 B 1363 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1511 January 1, 1970
Addition of fractions – easy 0 B 1549 January 1, 1970
Addition of fractions – medium 0 B 1512 January 1, 1970
Addition of fractions – medium-hard 0 B 1417 January 1, 1970
Addition of fractions – hard 0 B 1364 January 1, 1970
Addition of fractions – very hard 0 B 1284 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1428 January 1, 1970
Addition of improper fractions – easy 0 B 1696 January 1, 1970
Addition of improper fractions – medium 0 B 1391 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1329 January 1, 1970
Addition of improper fractions – hard 0 B 1327 January 1, 1970
Addition of improper fractions – very hard 0 B 1331 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2773 January 1, 1970
Addition and subtraction of integers – easy 0 B 2554 January 1, 1970
Addition and subtraction of integers – medium 0 B 2682 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1928 January 1, 1970
Addition and subtraction of integers – hard 0 B 1769 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1812 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1505 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1524 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1510 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1390 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1460 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1409 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1818 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1965 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1567 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1388 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1366 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1406 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1634 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1434 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1433 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1366 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1552 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1308 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1196 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1250 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1308 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 3326 January 1, 1970
Addition and subtraction decimals 0 B 1878 January 1, 1970
Addition and subtraction fractions 0 B 1992 January 1, 1970
Addition and subtraction mixed numbers 0 B 1628 January 1, 1970
Addition and subtraction improper fractions 0 B 1630 January 1, 1970

Addition and subtraction knowledge test