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 5026 October 13, 2012
Addition of positive integers – easy 143.6 kB 2705 October 13, 2012
Addition of positive integers – medium 163.9 kB 3276 October 13, 2012
Addition of positive integers – hard 210.4 kB 3341 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1719 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1639 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1509 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1495 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1780 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1570 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1504 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1309 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1240 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1305 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1624 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1310 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1407 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1174 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1372 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 1091 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 1013 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 1153 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 1140 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1845 October 13, 2012
Addition of integers – easy 164.4 kB 1831 October 13, 2012
Addition of integers – medium 186.2 kB 1927 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1505 October 13, 2012
Addition of integers – hard 587.8 kB 1430 October 13, 2012
Addition of integers – very hard 593.2 kB 1528 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 1154 October 13, 2012
Addition of decimals – easy 209.6 kB 1182 October 13, 2012
Addition of decimals – medium 234.1 kB 1132 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 1157 October 13, 2012
Addition of decimals – hard 606.1 kB 1071 October 13, 2012
Addition of decimals – very hard 613.3 kB 1120 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1213 October 13, 2012
Addition of fractions – easy 592.5 kB 1272 October 13, 2012
Addition of fractions – medium 617.8 kB 1242 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 1163 October 13, 2012
Addition of fractions – hard 619.7 kB 1139 October 13, 2012
Addition of fractions – very hard 589.2 kB 1053 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1150 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1414 October 13, 2012
Addition of improper fractions – medium 601.8 kB 1140 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 1094 October 13, 2012
Addition of improper fractions – hard 612 kB 1091 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 1094 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2120 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 2121 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 2236 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1554 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1452 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1481 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1212 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1266 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1241 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 1160 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1226 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 1172 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1451 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1635 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1261 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 1158 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 1119 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 1151 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1321 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 1166 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 1168 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1139 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1309 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1082 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 995 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 1039 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 1096 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 2639 October 14, 2012
Addition and subtraction decimals 566.1 kB 1584 October 14, 2012
Addition and subtraction fractions 660 kB 1641 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1311 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1362 October 14, 2012


Addition and subtraction knowledge test