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 123.2 kB 5332 October 13, 2012
Addition of positive integers – easy 143.6 kB 2911 October 13, 2012
Addition of positive integers – medium 163.9 kB 3488 October 13, 2012
Addition of positive integers – hard 210.4 kB 3484 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1896 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1769 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1630 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1599 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1965 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1715 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1643 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1422 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1326 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1412 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1794 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1436 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1512 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1317 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1524 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 1210 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 1102 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 1232 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 1253 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1954 October 13, 2012
Addition of integers – easy 164.4 kB 1950 October 13, 2012
Addition of integers – medium 186.2 kB 2054 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1614 October 13, 2012
Addition of integers – hard 587.8 kB 1519 October 13, 2012
Addition of integers – very hard 593.2 kB 1632 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 1265 October 13, 2012
Addition of decimals – easy 209.6 kB 1278 October 13, 2012
Addition of decimals – medium 234.1 kB 1228 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 1264 October 13, 2012
Addition of decimals – hard 606.1 kB 1165 October 13, 2012
Addition of decimals – very hard 613.3 kB 1231 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1325 October 13, 2012
Addition of fractions – easy 592.5 kB 1393 October 13, 2012
Addition of fractions – medium 617.8 kB 1351 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 1267 October 13, 2012
Addition of fractions – hard 619.7 kB 1241 October 13, 2012
Addition of fractions – very hard 589.2 kB 1142 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1254 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1522 October 13, 2012
Addition of improper fractions – medium 601.8 kB 1239 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 1194 October 13, 2012
Addition of improper fractions – hard 612 kB 1194 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 1190 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2257 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 2207 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 2342 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1655 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1537 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1572 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1297 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1368 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1327 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 1262 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1338 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 1266 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1565 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1752 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1363 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 1238 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 1216 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 1234 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1444 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 1270 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 1250 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1219 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1397 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1175 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1085 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 1110 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 1175 October 13, 2012

 

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 557.5 kB 2775 October 14, 2012
Addition and subtraction decimals 566.1 kB 1688 October 14, 2012
Addition and subtraction fractions 660 kB 1785 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1423 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1474 October 14, 2012

Addition and subtraction knowledge test