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 4855 October 13, 2012
Addition of positive integers – easy 143.6 kB 2589 October 13, 2012
Addition of positive integers – medium 163.9 kB 3163 October 13, 2012
Addition of positive integers – hard 210.4 kB 3214 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1638 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1592 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1458 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1438 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1699 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1502 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1444 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1260 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1178 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1251 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1544 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1254 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1348 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1119 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1321 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 1036 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 962 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 1089 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 1094 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1750 October 13, 2012
Addition of integers – easy 164.4 kB 1739 October 13, 2012
Addition of integers – medium 186.2 kB 1861 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1447 October 13, 2012
Addition of integers – hard 587.8 kB 1362 October 13, 2012
Addition of integers – very hard 593.2 kB 1465 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 1113 October 13, 2012
Addition of decimals – easy 209.6 kB 1133 October 13, 2012
Addition of decimals – medium 234.1 kB 1078 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 1109 October 13, 2012
Addition of decimals – hard 606.1 kB 1026 October 13, 2012
Addition of decimals – very hard 613.3 kB 1081 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1169 October 13, 2012
Addition of fractions – easy 592.5 kB 1220 October 13, 2012
Addition of fractions – medium 617.8 kB 1198 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 1116 October 13, 2012
Addition of fractions – hard 619.7 kB 1088 October 13, 2012
Addition of fractions – very hard 589.2 kB 1014 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1108 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1362 October 13, 2012
Addition of improper fractions – medium 601.8 kB 1088 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 1052 October 13, 2012
Addition of improper fractions – hard 612 kB 1050 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 1051 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2017 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 2021 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 2142 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1478 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1378 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1410 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1159 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1219 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1188 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 1113 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1180 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 1130 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1394 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1566 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1203 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 1103 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 1077 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 1103 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1267 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 1124 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 1110 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1087 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1272 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1035 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 950 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 985 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 1050 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 2514 October 14, 2012
Addition and subtraction decimals 566.1 kB 1520 October 14, 2012
Addition and subtraction fractions 660 kB 1574 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1259 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1311 October 14, 2012


Addition and subtraction knowledge test