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 4184 October 13, 2012
Addition of positive integers – easy 143.6 kB 2176 October 13, 2012
Addition of positive integers – medium 163.9 kB 2645 October 13, 2012
Addition of positive integers – hard 210.4 kB 2766 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1355 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1397 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1236 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1230 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1423 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1256 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1213 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1057 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1007 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1067 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1255 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1032 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1152 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 953 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1137 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 864 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 841 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 909 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 941 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1463 October 13, 2012
Addition of integers – easy 164.4 kB 1433 October 13, 2012
Addition of integers – medium 186.2 kB 1621 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1203 October 13, 2012
Addition of integers – hard 587.8 kB 1141 October 13, 2012
Addition of integers – very hard 593.2 kB 1222 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 961 October 13, 2012
Addition of decimals – easy 209.6 kB 970 October 13, 2012
Addition of decimals – medium 234.1 kB 917 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 940 October 13, 2012
Addition of decimals – hard 606.1 kB 884 October 13, 2012
Addition of decimals – very hard 613.3 kB 945 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1013 October 13, 2012
Addition of fractions – easy 592.5 kB 1023 October 13, 2012
Addition of fractions – medium 617.8 kB 1020 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 955 October 13, 2012
Addition of fractions – hard 619.7 kB 915 October 13, 2012
Addition of fractions – very hard 589.2 kB 896 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 964 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1167 October 13, 2012
Addition of improper fractions – medium 601.8 kB 918 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 893 October 13, 2012
Addition of improper fractions – hard 612 kB 901 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 868 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1764 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1750 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 1844 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1246 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1177 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1213 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 985 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1025 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1008 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 953 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1004 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 961 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1173 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1366 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1009 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 934 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 916 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 959 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1100 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 957 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 951 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 962 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1139 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 887 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 836 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 870 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 919 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 2131 October 14, 2012
Addition and subtraction decimals 566.1 kB 1315 October 14, 2012
Addition and subtraction fractions 660 kB 1327 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1104 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1102 October 14, 2012


Addition and subtraction knowledge test