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 4548 October 13, 2012
Addition of positive integers – easy 143.6 kB 2421 October 13, 2012
Addition of positive integers – medium 163.9 kB 2936 October 13, 2012
Addition of positive integers – hard 210.4 kB 2999 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1515 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1516 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1372 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1362 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1565 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1402 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1351 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1170 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1113 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1175 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1409 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1154 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1279 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1045 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1240 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 966 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 909 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 1011 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 1031 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1613 October 13, 2012
Addition of integers – easy 164.4 kB 1585 October 13, 2012
Addition of integers – medium 186.2 kB 1746 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1321 October 13, 2012
Addition of integers – hard 587.8 kB 1264 October 13, 2012
Addition of integers – very hard 593.2 kB 1365 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 1045 October 13, 2012
Addition of decimals – easy 209.6 kB 1063 October 13, 2012
Addition of decimals – medium 234.1 kB 1010 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 1046 October 13, 2012
Addition of decimals – hard 606.1 kB 962 October 13, 2012
Addition of decimals – very hard 613.3 kB 1022 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1104 October 13, 2012
Addition of fractions – easy 592.5 kB 1138 October 13, 2012
Addition of fractions – medium 617.8 kB 1121 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 1049 October 13, 2012
Addition of fractions – hard 619.7 kB 1017 October 13, 2012
Addition of fractions – very hard 589.2 kB 970 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1041 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1275 October 13, 2012
Addition of improper fractions – medium 601.8 kB 1021 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 982 October 13, 2012
Addition of improper fractions – hard 612 kB 991 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 976 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1904 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1890 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 2006 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1370 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1289 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1322 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1080 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1136 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1108 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 1040 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1106 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 1052 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1305 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1474 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1122 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 1021 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 1010 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 1043 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1190 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 1043 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 1038 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1032 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1206 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 969 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 902 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 935 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 1001 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 2320 October 14, 2012
Addition and subtraction decimals 566.1 kB 1432 October 14, 2012
Addition and subtraction fractions 660 kB 1465 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1186 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1235 October 14, 2012


Addition and subtraction knowledge test