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 3902 October 13, 2012
Addition of positive integers – easy 143.6 kB 2052 October 13, 2012
Addition of positive integers – medium 163.9 kB 2476 October 13, 2012
Addition of positive integers – hard 210.4 kB 2626 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1295 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1356 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1182 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1198 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1342 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1209 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1163 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1025 October 13, 2012
Addition of positive fractions – hard 607.6 kB 974 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1029 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1201 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 988 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1081 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 920 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1100 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 838 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 825 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 884 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 905 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1397 October 13, 2012
Addition of integers – easy 164.4 kB 1377 October 13, 2012
Addition of integers – medium 186.2 kB 1571 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1157 October 13, 2012
Addition of integers – hard 587.8 kB 1094 October 13, 2012
Addition of integers – very hard 593.2 kB 1175 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 933 October 13, 2012
Addition of decimals – easy 209.6 kB 948 October 13, 2012
Addition of decimals – medium 234.1 kB 887 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 898 October 13, 2012
Addition of decimals – hard 606.1 kB 856 October 13, 2012
Addition of decimals – very hard 613.3 kB 924 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 980 October 13, 2012
Addition of fractions – easy 592.5 kB 983 October 13, 2012
Addition of fractions – medium 617.8 kB 988 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 924 October 13, 2012
Addition of fractions – hard 619.7 kB 884 October 13, 2012
Addition of fractions – very hard 589.2 kB 867 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 930 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1131 October 13, 2012
Addition of improper fractions – medium 601.8 kB 888 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 864 October 13, 2012
Addition of improper fractions – hard 612 kB 874 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 841 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1684 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1667 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 1781 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1193 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1131 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1160 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 946 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 986 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 975 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 923 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 963 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 933 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1120 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1316 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 976 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 898 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 880 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 923 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1049 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 923 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 921 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 924 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1105 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 855 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 806 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 844 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 885 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 2032 October 14, 2012
Addition and subtraction decimals 566.1 kB 1265 October 14, 2012
Addition and subtraction fractions 660 kB 1232 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1045 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1039 October 14, 2012


Addition and subtraction knowledge test