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 6317 January 1, 1970
Addition of positive integers – easy 0 B 3513 January 1, 1970
Addition of positive integers – medium 0 B 4080 January 1, 1970
Addition of positive integers – hard 0 B 4222 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2237 January 1, 1970
Addition of positive decimals – easy 0 B 2030 January 1, 1970
Addition of positive decimals – medium 0 B 1900 January 1, 1970
Addition of positive decimals – hard 0 B 1859 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2311 January 1, 1970
Addition of positive fractions – easy 0 B 1984 January 1, 1970
Addition of positive fractions – medium 0 B 1881 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1689 January 1, 1970
Addition of positive fractions – hard 0 B 1567 January 1, 1970
Addition of positive fractions – very hard 0 B 1638 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 2154 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1675 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1730 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1544 January 1, 1970
Addition of positive improper fractions – easy 0 B 1708 January 1, 1970
Addition of positive improper fractions – medium 0 B 1418 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1310 January 1, 1970
Addition of positive improper fractions – hard 0 B 1457 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1445 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2481 January 1, 1970
Addition of integers – easy 0 B 2295 January 1, 1970
Addition of integers – medium 0 B 2386 January 1, 1970
Addition of integers – medium-hard 0 B 1894 January 1, 1970
Addition of integers – hard 0 B 1782 January 1, 1970
Addition of integers – very hard 0 B 1880 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1489 January 1, 1970
Addition of decimals – easy 0 B 1522 January 1, 1970
Addition of decimals – medium 0 B 1446 January 1, 1970
Addition of decimals – medium-hard 0 B 1481 January 1, 1970
Addition of decimals – hard 0 B 1371 January 1, 1970
Addition of decimals – very hard 0 B 1422 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1571 January 1, 1970
Addition of fractions – easy 0 B 1610 January 1, 1970
Addition of fractions – medium 0 B 1568 January 1, 1970
Addition of fractions – medium-hard 0 B 1468 January 1, 1970
Addition of fractions – hard 0 B 1418 January 1, 1970
Addition of fractions – very hard 0 B 1344 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1488 January 1, 1970
Addition of improper fractions – easy 0 B 1751 January 1, 1970
Addition of improper fractions – medium 0 B 1447 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1385 January 1, 1970
Addition of improper fractions – hard 0 B 1380 January 1, 1970
Addition of improper fractions – very hard 0 B 1385 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2881 January 1, 1970
Addition and subtraction of integers – easy 0 B 2634 January 1, 1970
Addition and subtraction of integers – medium 0 B 2766 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1998 January 1, 1970
Addition and subtraction of integers – hard 0 B 1838 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1889 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1558 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1574 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1568 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1448 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1515 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1467 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1883 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 2034 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1625 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1439 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1417 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1457 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1702 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1488 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1486 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1425 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1613 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1362 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1244 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1301 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1354 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 3435 January 1, 1970
Addition and subtraction decimals 0 B 1948 January 1, 1970
Addition and subtraction fractions 0 B 2070 January 1, 1970
Addition and subtraction mixed numbers 0 B 1696 January 1, 1970
Addition and subtraction improper fractions 0 B 1690 January 1, 1970

Addition and subtraction knowledge test