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 6209 January 1, 1970
Addition of positive integers – easy 0 B 3445 January 1, 1970
Addition of positive integers – medium 0 B 4020 January 1, 1970
Addition of positive integers – hard 0 B 4099 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2202 January 1, 1970
Addition of positive decimals – easy 0 B 1994 January 1, 1970
Addition of positive decimals – medium 0 B 1857 January 1, 1970
Addition of positive decimals – hard 0 B 1826 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2276 January 1, 1970
Addition of positive fractions – easy 0 B 1952 January 1, 1970
Addition of positive fractions – medium 0 B 1842 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1655 January 1, 1970
Addition of positive fractions – hard 0 B 1539 January 1, 1970
Addition of positive fractions – very hard 0 B 1586 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 2117 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1644 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1701 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1515 January 1, 1970
Addition of positive improper fractions – easy 0 B 1682 January 1, 1970
Addition of positive improper fractions – medium 0 B 1378 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1283 January 1, 1970
Addition of positive improper fractions – hard 0 B 1431 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1412 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2443 January 1, 1970
Addition of integers – easy 0 B 2263 January 1, 1970
Addition of integers – medium 0 B 2355 January 1, 1970
Addition of integers – medium-hard 0 B 1864 January 1, 1970
Addition of integers – hard 0 B 1752 January 1, 1970
Addition of integers – very hard 0 B 1852 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1459 January 1, 1970
Addition of decimals – easy 0 B 1487 January 1, 1970
Addition of decimals – medium 0 B 1415 January 1, 1970
Addition of decimals – medium-hard 0 B 1447 January 1, 1970
Addition of decimals – hard 0 B 1338 January 1, 1970
Addition of decimals – very hard 0 B 1390 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1542 January 1, 1970
Addition of fractions – easy 0 B 1577 January 1, 1970
Addition of fractions – medium 0 B 1537 January 1, 1970
Addition of fractions – medium-hard 0 B 1443 January 1, 1970
Addition of fractions – hard 0 B 1391 January 1, 1970
Addition of fractions – very hard 0 B 1313 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1457 January 1, 1970
Addition of improper fractions – easy 0 B 1724 January 1, 1970
Addition of improper fractions – medium 0 B 1416 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1353 January 1, 1970
Addition of improper fractions – hard 0 B 1353 January 1, 1970
Addition of improper fractions – very hard 0 B 1356 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2825 January 1, 1970
Addition and subtraction of integers – easy 0 B 2593 January 1, 1970
Addition and subtraction of integers – medium 0 B 2722 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1960 January 1, 1970
Addition and subtraction of integers – hard 0 B 1802 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1850 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1529 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1551 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1538 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1416 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1487 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1437 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1852 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1992 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1593 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1414 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1388 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1432 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1666 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1464 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1455 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1397 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1582 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1335 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1219 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1273 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1333 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 3380 January 1, 1970
Addition and subtraction decimals 0 B 1912 January 1, 1970
Addition and subtraction fractions 0 B 2038 January 1, 1970
Addition and subtraction mixed numbers 0 B 1664 January 1, 1970
Addition and subtraction improper fractions 0 B 1661 January 1, 1970

Addition and subtraction knowledge test