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 5796 January 1, 1970
Addition of positive integers – easy 0 B 3213 January 1, 1970
Addition of positive integers – medium 0 B 3763 January 1, 1970
Addition of positive integers – hard 0 B 3849 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2079 January 1, 1970
Addition of positive decimals – easy 0 B 1895 January 1, 1970
Addition of positive decimals – medium 0 B 1735 January 1, 1970
Addition of positive decimals – hard 0 B 1718 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2123 January 1, 1970
Addition of positive fractions – easy 0 B 1833 January 1, 1970
Addition of positive fractions – medium 0 B 1736 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1544 January 1, 1970
Addition of positive fractions – hard 0 B 1450 January 1, 1970
Addition of positive fractions – very hard 0 B 1490 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1959 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1534 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1598 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1403 January 1, 1970
Addition of positive improper fractions – easy 0 B 1578 January 1, 1970
Addition of positive improper fractions – medium 0 B 1280 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1195 January 1, 1970
Addition of positive improper fractions – hard 0 B 1338 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1315 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2278 January 1, 1970
Addition of integers – easy 0 B 2118 January 1, 1970
Addition of integers – medium 0 B 2219 January 1, 1970
Addition of integers – medium-hard 0 B 1750 January 1, 1970
Addition of integers – hard 0 B 1655 January 1, 1970
Addition of integers – very hard 0 B 1747 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1360 January 1, 1970
Addition of decimals – easy 0 B 1385 January 1, 1970
Addition of decimals – medium 0 B 1320 January 1, 1970
Addition of decimals – medium-hard 0 B 1364 January 1, 1970
Addition of decimals – hard 0 B 1244 January 1, 1970
Addition of decimals – very hard 0 B 1299 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1434 January 1, 1970
Addition of fractions – easy 0 B 1475 January 1, 1970
Addition of fractions – medium 0 B 1447 January 1, 1970
Addition of fractions – medium-hard 0 B 1356 January 1, 1970
Addition of fractions – hard 0 B 1310 January 1, 1970
Addition of fractions – very hard 0 B 1222 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1347 January 1, 1970
Addition of improper fractions – easy 0 B 1633 January 1, 1970
Addition of improper fractions – medium 0 B 1325 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1268 January 1, 1970
Addition of improper fractions – hard 0 B 1261 January 1, 1970
Addition of improper fractions – very hard 0 B 1266 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2621 January 1, 1970
Addition and subtraction of integers – easy 0 B 2436 January 1, 1970
Addition and subtraction of integers – medium 0 B 2569 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1843 January 1, 1970
Addition and subtraction of integers – hard 0 B 1695 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1730 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1437 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1454 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1428 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1329 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1397 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1354 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1732 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1893 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1493 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1336 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1304 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1350 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1561 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1368 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1381 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1315 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1491 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1256 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1149 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1197 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1248 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 3182 January 1, 1970
Addition and subtraction decimals 0 B 1808 January 1, 1970
Addition and subtraction fractions 0 B 1908 January 1, 1970
Addition and subtraction mixed numbers 0 B 1541 January 1, 1970
Addition and subtraction improper fractions 0 B 1567 January 1, 1970

Addition and subtraction knowledge test