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 4435 October 13, 2012
Addition of positive integers – easy 143.6 kB 2358 October 13, 2012
Addition of positive integers – medium 163.9 kB 2834 October 13, 2012
Addition of positive integers – hard 210.4 kB 2934 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1476 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1488 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1336 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1327 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1530 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1359 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1310 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1136 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1087 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1146 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1358 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1117 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1250 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1014 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1215 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 939 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 892 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 981 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 1009 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1562 October 13, 2012
Addition of integers – easy 164.4 kB 1527 October 13, 2012
Addition of integers – medium 186.2 kB 1692 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1277 October 13, 2012
Addition of integers – hard 587.8 kB 1226 October 13, 2012
Addition of integers – very hard 593.2 kB 1321 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 1023 October 13, 2012
Addition of decimals – easy 209.6 kB 1036 October 13, 2012
Addition of decimals – medium 234.1 kB 981 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 1015 October 13, 2012
Addition of decimals – hard 606.1 kB 940 October 13, 2012
Addition of decimals – very hard 613.3 kB 998 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1080 October 13, 2012
Addition of fractions – easy 592.5 kB 1104 October 13, 2012
Addition of fractions – medium 617.8 kB 1090 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 1022 October 13, 2012
Addition of fractions – hard 619.7 kB 990 October 13, 2012
Addition of fractions – very hard 589.2 kB 953 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1009 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1247 October 13, 2012
Addition of improper fractions – medium 601.8 kB 992 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 960 October 13, 2012
Addition of improper fractions – hard 612 kB 967 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 949 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1855 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1846 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 1943 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1323 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1249 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1287 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1054 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1104 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1080 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 1013 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1077 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 1027 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1263 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1437 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1085 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 994 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 984 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 1016 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1163 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 1014 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 1011 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1007 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1181 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 941 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 881 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 917 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 977 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 2256 October 14, 2012
Addition and subtraction decimals 566.1 kB 1408 October 14, 2012
Addition and subtraction fractions 660 kB 1436 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1161 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1208 October 14, 2012


Addition and subtraction knowledge test