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 3918 October 13, 2012
Addition of positive integers – easy 143.6 kB 2060 October 13, 2012
Addition of positive integers – medium 163.9 kB 2483 October 13, 2012
Addition of positive integers – hard 210.4 kB 2634 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1300 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1359 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1185 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1201 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1349 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1215 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1167 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1027 October 13, 2012
Addition of positive fractions – hard 607.6 kB 977 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1034 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1204 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 991 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1085 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 922 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1103 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 840 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 826 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 887 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 908 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1404 October 13, 2012
Addition of integers – easy 164.4 kB 1385 October 13, 2012
Addition of integers – medium 186.2 kB 1580 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1166 October 13, 2012
Addition of integers – hard 587.8 kB 1102 October 13, 2012
Addition of integers – very hard 593.2 kB 1185 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 937 October 13, 2012
Addition of decimals – easy 209.6 kB 949 October 13, 2012
Addition of decimals – medium 234.1 kB 890 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 900 October 13, 2012
Addition of decimals – hard 606.1 kB 858 October 13, 2012
Addition of decimals – very hard 613.3 kB 926 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 985 October 13, 2012
Addition of fractions – easy 592.5 kB 990 October 13, 2012
Addition of fractions – medium 617.8 kB 991 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 929 October 13, 2012
Addition of fractions – hard 619.7 kB 888 October 13, 2012
Addition of fractions – very hard 589.2 kB 870 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 934 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1135 October 13, 2012
Addition of improper fractions – medium 601.8 kB 894 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 866 October 13, 2012
Addition of improper fractions – hard 612 kB 878 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 842 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1691 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1675 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 1787 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1203 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1138 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1171 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 949 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 990 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 977 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 928 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 971 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 935 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1126 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1322 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 981 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 906 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 885 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 926 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1053 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 929 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 924 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 928 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1110 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 857 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 810 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 846 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 888 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 2040 October 14, 2012
Addition and subtraction decimals 566.1 kB 1272 October 14, 2012
Addition and subtraction fractions 660 kB 1238 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1049 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1043 October 14, 2012


Addition and subtraction knowledge test