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 5646 January 1, 1970
Addition of positive integers – easy 0 B 3114 January 1, 1970
Addition of positive integers – medium 0 B 3663 January 1, 1970
Addition of positive integers – hard 0 B 3743 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 2022 January 1, 1970
Addition of positive decimals – easy 0 B 1859 January 1, 1970
Addition of positive decimals – medium 0 B 1695 January 1, 1970
Addition of positive decimals – hard 0 B 1674 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2047 January 1, 1970
Addition of positive fractions – easy 0 B 1780 January 1, 1970
Addition of positive fractions – medium 0 B 1689 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1499 January 1, 1970
Addition of positive fractions – hard 0 B 1424 January 1, 1970
Addition of positive fractions – very hard 0 B 1465 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1898 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1503 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1570 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1365 January 1, 1970
Addition of positive improper fractions – easy 0 B 1547 January 1, 1970
Addition of positive improper fractions – medium 0 B 1248 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1172 January 1, 1970
Addition of positive improper fractions – hard 0 B 1312 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1296 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2203 January 1, 1970
Addition of integers – easy 0 B 2070 January 1, 1970
Addition of integers – medium 0 B 2163 January 1, 1970
Addition of integers – medium-hard 0 B 1708 January 1, 1970
Addition of integers – hard 0 B 1613 January 1, 1970
Addition of integers – very hard 0 B 1713 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1327 January 1, 1970
Addition of decimals – easy 0 B 1351 January 1, 1970
Addition of decimals – medium 0 B 1283 January 1, 1970
Addition of decimals – medium-hard 0 B 1343 January 1, 1970
Addition of decimals – hard 0 B 1224 January 1, 1970
Addition of decimals – very hard 0 B 1277 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1389 January 1, 1970
Addition of fractions – easy 0 B 1434 January 1, 1970
Addition of fractions – medium 0 B 1406 January 1, 1970
Addition of fractions – medium-hard 0 B 1330 January 1, 1970
Addition of fractions – hard 0 B 1286 January 1, 1970
Addition of fractions – very hard 0 B 1200 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1317 January 1, 1970
Addition of improper fractions – easy 0 B 1602 January 1, 1970
Addition of improper fractions – medium 0 B 1299 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1241 January 1, 1970
Addition of improper fractions – hard 0 B 1236 January 1, 1970
Addition of improper fractions – very hard 0 B 1250 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2535 January 1, 1970
Addition and subtraction of integers – easy 0 B 2365 January 1, 1970
Addition and subtraction of integers – medium 0 B 2502 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1801 January 1, 1970
Addition and subtraction of integers – hard 0 B 1663 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1687 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1410 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1426 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1399 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1304 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1374 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1334 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1670 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1837 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1436 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1317 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1280 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1327 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1516 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1333 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1361 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1293 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1466 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1237 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1135 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1181 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1222 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 3071 January 1, 1970
Addition and subtraction decimals 0 B 1770 January 1, 1970
Addition and subtraction fractions 0 B 1842 January 1, 1970
Addition and subtraction mixed numbers 0 B 1503 January 1, 1970
Addition and subtraction improper fractions 0 B 1532 January 1, 1970


Addition and subtraction knowledge test