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 4787 October 13, 2012
Addition of positive integers – easy 143.6 kB 2539 October 13, 2012
Addition of positive integers – medium 163.9 kB 3110 October 13, 2012
Addition of positive integers – hard 210.4 kB 3161 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1601 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1569 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1434 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1419 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1665 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1479 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1418 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1236 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1159 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1228 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1498 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1225 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1331 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1096 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1299 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 1017 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 945 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 1066 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 1080 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1699 October 13, 2012
Addition of integers – easy 164.4 kB 1705 October 13, 2012
Addition of integers – medium 186.2 kB 1827 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1409 October 13, 2012
Addition of integers – hard 587.8 kB 1335 October 13, 2012
Addition of integers – very hard 593.2 kB 1437 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 1095 October 13, 2012
Addition of decimals – easy 209.6 kB 1116 October 13, 2012
Addition of decimals – medium 234.1 kB 1061 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 1088 October 13, 2012
Addition of decimals – hard 606.1 kB 1009 October 13, 2012
Addition of decimals – very hard 613.3 kB 1064 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1149 October 13, 2012
Addition of fractions – easy 592.5 kB 1199 October 13, 2012
Addition of fractions – medium 617.8 kB 1172 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 1100 October 13, 2012
Addition of fractions – hard 619.7 kB 1065 October 13, 2012
Addition of fractions – very hard 589.2 kB 999 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1089 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1338 October 13, 2012
Addition of improper fractions – medium 601.8 kB 1067 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 1034 October 13, 2012
Addition of improper fractions – hard 612 kB 1031 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 1024 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1978 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1993 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 2117 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1457 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1352 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1382 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1134 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1194 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1165 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 1098 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1162 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 1104 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1374 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1545 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1181 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 1077 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 1056 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 1084 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1243 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 1100 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 1089 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1073 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1248 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1019 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 934 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 965 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 1036 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 2457 October 14, 2012
Addition and subtraction decimals 566.1 kB 1498 October 14, 2012
Addition and subtraction fractions 660 kB 1536 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1238 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1285 October 14, 2012


Addition and subtraction knowledge test