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 3746 October 13, 2012
Addition of positive integers – easy 143.6 kB 1977 October 13, 2012
Addition of positive integers – medium 163.9 kB 2370 October 13, 2012
Addition of positive integers – hard 210.4 kB 2535 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1246 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1306 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1148 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1149 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1281 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1148 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1117 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 991 October 13, 2012
Addition of positive fractions – hard 607.6 kB 927 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 995 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1140 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 951 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1040 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 885 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1061 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 813 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 802 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 862 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 867 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1347 October 13, 2012
Addition of integers – easy 164.4 kB 1333 October 13, 2012
Addition of integers – medium 186.2 kB 1515 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1111 October 13, 2012
Addition of integers – hard 587.8 kB 1062 October 13, 2012
Addition of integers – very hard 593.2 kB 1135 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 903 October 13, 2012
Addition of decimals – easy 209.6 kB 912 October 13, 2012
Addition of decimals – medium 234.1 kB 859 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 867 October 13, 2012
Addition of decimals – hard 606.1 kB 814 October 13, 2012
Addition of decimals – very hard 613.3 kB 898 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 950 October 13, 2012
Addition of fractions – easy 592.5 kB 948 October 13, 2012
Addition of fractions – medium 617.8 kB 943 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 881 October 13, 2012
Addition of fractions – hard 619.7 kB 845 October 13, 2012
Addition of fractions – very hard 589.2 kB 837 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 893 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1095 October 13, 2012
Addition of improper fractions – medium 601.8 kB 861 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 830 October 13, 2012
Addition of improper fractions – hard 612 kB 834 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 812 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1608 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1602 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 1717 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1148 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1098 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1121 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 910 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 953 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 938 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 888 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 917 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 892 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1071 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1263 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 949 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 865 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 848 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 899 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1014 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 899 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 894 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 886 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1071 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 829 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 784 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 821 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 859 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 1946 October 14, 2012
Addition and subtraction decimals 566.1 kB 1212 October 14, 2012
Addition and subtraction fractions 660 kB 1183 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 994 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 988 October 14, 2012


Addition and subtraction knowledge test