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 4062 October 13, 2012
Addition of positive integers – easy 143.6 kB 2125 October 13, 2012
Addition of positive integers – medium 163.9 kB 2579 October 13, 2012
Addition of positive integers – hard 210.4 kB 2714 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1329 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1383 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1215 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1217 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1390 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1239 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1194 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1045 October 13, 2012
Addition of positive fractions – hard 607.6 kB 989 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1053 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1239 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1013 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1100 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 935 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1123 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 853 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 833 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 897 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 924 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1438 October 13, 2012
Addition of integers – easy 164.4 kB 1409 October 13, 2012
Addition of integers – medium 186.2 kB 1604 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1186 October 13, 2012
Addition of integers – hard 587.8 kB 1123 October 13, 2012
Addition of integers – very hard 593.2 kB 1203 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 949 October 13, 2012
Addition of decimals – easy 209.6 kB 960 October 13, 2012
Addition of decimals – medium 234.1 kB 904 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 921 October 13, 2012
Addition of decimals – hard 606.1 kB 871 October 13, 2012
Addition of decimals – very hard 613.3 kB 933 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1001 October 13, 2012
Addition of fractions – easy 592.5 kB 1006 October 13, 2012
Addition of fractions – medium 617.8 kB 1007 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 944 October 13, 2012
Addition of fractions – hard 619.7 kB 901 October 13, 2012
Addition of fractions – very hard 589.2 kB 881 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 948 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1151 October 13, 2012
Addition of improper fractions – medium 601.8 kB 906 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 879 October 13, 2012
Addition of improper fractions – hard 612 kB 888 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 854 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1736 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1728 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 1820 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1227 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1159 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1189 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 964 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1008 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 994 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 944 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 989 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 944 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1154 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1349 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 994 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 919 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 899 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 937 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1078 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 941 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 934 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 943 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1128 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 873 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 820 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 859 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 900 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 2094 October 14, 2012
Addition and subtraction decimals 566.1 kB 1296 October 14, 2012
Addition and subtraction fractions 660 kB 1265 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1078 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1069 October 14, 2012


Addition and subtraction knowledge test