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 5563 January 1, 1970
Addition of positive integers – easy 0 B 3052 January 1, 1970
Addition of positive integers – medium 0 B 3610 January 1, 1970
Addition of positive integers – hard 0 B 3671 January 1, 1970
Positive decimals
Addition of positive decimals – very easy 0 B 1971 January 1, 1970
Addition of positive decimals – easy 0 B 1834 January 1, 1970
Addition of positive decimals – medium 0 B 1668 January 1, 1970
Addition of positive decimals – hard 0 B 1645 January 1, 1970
Positive fractions
Addition of positive fractions – very easy 0 B 2011 January 1, 1970
Addition of positive fractions – easy 0 B 1755 January 1, 1970
Addition of positive fractions – medium 0 B 1664 January 1, 1970
Addition of positive fractions – medium-hard 0 B 1468 January 1, 1970
Addition of positive fractions – hard 0 B 1394 January 1, 1970
Addition of positive fractions – very hard 0 B 1443 January 1, 1970
Positive mixed numbers
Addition of positive mixed numbers – easy 0 B 1857 January 1, 1970
Addition of positive mixed numbers – medium 0 B 1477 January 1, 1970
Addition of positive mixed numbers – hard 0 B 1550 January 1, 1970
Positive improper fractions
Addition of positive improper fractions – very easy 0 B 1344 January 1, 1970
Addition of positive improper fractions – easy 0 B 1526 January 1, 1970
Addition of positive improper fractions – medium 0 B 1228 January 1, 1970
Addition of positive improper fractions – medium-hard 0 B 1155 January 1, 1970
Addition of positive improper fractions – hard 0 B 1285 January 1, 1970
Addition of positive improper fractions – very hard 0 B 1272 January 1, 1970
Non positive integers
Addition of integers – very easy 0 B 2153 January 1, 1970
Addition of integers – easy 0 B 2027 January 1, 1970
Addition of integers – medium 0 B 2128 January 1, 1970
Addition of integers – medium-hard 0 B 1664 January 1, 1970
Addition of integers – hard 0 B 1589 January 1, 1970
Addition of integers – very hard 0 B 1681 January 1, 1970
Non positive decimals
Addition of decimals – very easy 0 B 1297 January 1, 1970
Addition of decimals – easy 0 B 1318 January 1, 1970
Addition of decimals – medium 0 B 1264 January 1, 1970
Addition of decimals – medium-hard 0 B 1314 January 1, 1970
Addition of decimals – hard 0 B 1200 January 1, 1970
Addition of decimals – very hard 0 B 1248 January 1, 1970
Non positive fractions
Addition of fractions – very easy 0 B 1366 January 1, 1970
Addition of fractions – easy 0 B 1410 January 1, 1970
Addition of fractions – medium 0 B 1382 January 1, 1970
Addition of fractions – medium-hard 0 B 1309 January 1, 1970
Addition of fractions – hard 0 B 1262 January 1, 1970
Addition of fractions – very hard 0 B 1175 January 1, 1970
Non positive improper fractions
Addition of improper fractions – very easy 0 B 1299 January 1, 1970
Addition of improper fractions – easy 0 B 1580 January 1, 1970
Addition of improper fractions – medium 0 B 1274 January 1, 1970
Addition of improper fractions – medium-hard 0 B 1221 January 1, 1970
Addition of improper fractions – hard 0 B 1216 January 1, 1970
Addition of improper fractions – very hard 0 B 1232 January 1, 1970
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 0 B 2480 January 1, 1970
Addition and subtraction of integers – easy 0 B 2337 January 1, 1970
Addition and subtraction of integers – medium 0 B 2468 January 1, 1970
Addition and subtraction of integers – medium-hard 0 B 1772 January 1, 1970
Addition and subtraction of integers – hard 0 B 1629 January 1, 1970
Addition and subtraction of integers – very hard 0 B 1655 January 1, 1970
Decimals
Addition and subtraction of decimals – very easy 0 B 1380 January 1, 1970
Addition and subtraction of decimals – easy 0 B 1406 January 1, 1970
Addition and subtraction of decimals – medium 0 B 1381 January 1, 1970
Addition and subtraction of decimals – medium-hard 0 B 1283 January 1, 1970
Addition and subtraction of decimals – hard 0 B 1347 January 1, 1970
Addition and subtraction of decimals – very hard 0 B 1310 January 1, 1970
Fractions
Addition and subtraction of fractions – very easy 0 B 1641 January 1, 1970
Addition and subtraction of fractions – easy 12.0 kB 1815 June 11, 2011
Addition and subtraction of fractions – medium 0 B 1417 January 1, 1970
Addition and subtraction of fractions – medium-hard 0 B 1298 January 1, 1970
Addition and subtraction of fractions – hard 0 B 1258 January 1, 1970
Addition and subtraction of fractions – very hard 0 B 1304 January 1, 1970
Mixed numbers
Addition and subtraction of mixed numbers – easy 0 B 1482 January 1, 1970
Addition and subtraction of mixed numbers – medium 0 B 1304 January 1, 1970
Addition and subtraction of mixed numbers – hard 21.4 kB 1338 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 0 B 1277 January 1, 1970
Addition and subtraction of improper fractions – easy 11.2 kB 1446 June 11, 2011
Addition and subtraction of improper fractions – medium 0 B 1222 January 1, 1970
Addition and subtraction of improper fractions – medium-hard 0 B 1115 January 1, 1970
Addition and subtraction of improper fractions – hard 0 B 1164 January 1, 1970
Addition and subtraction of improper fractions – very hard 0 B 1206 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 3002 January 1, 1970
Addition and subtraction decimals 0 B 1744 January 1, 1970
Addition and subtraction fractions 0 B 1815 January 1, 1970
Addition and subtraction mixed numbers 0 B 1478 January 1, 1970
Addition and subtraction improper fractions 0 B 1511 January 1, 1970


Addition and subtraction knowledge test