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 4341 October 13, 2012
Addition of positive integers – easy 143.6 kB 2287 October 13, 2012
Addition of positive integers – medium 163.9 kB 2750 October 13, 2012
Addition of positive integers – hard 210.4 kB 2857 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1431 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1450 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1292 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1283 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1479 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1312 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1266 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1099 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1045 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1104 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1311 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1080 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1201 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 982 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1177 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 905 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 871 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 947 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 978 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1515 October 13, 2012
Addition of integers – easy 164.4 kB 1483 October 13, 2012
Addition of integers – medium 186.2 kB 1658 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1240 October 13, 2012
Addition of integers – hard 587.8 kB 1183 October 13, 2012
Addition of integers – very hard 593.2 kB 1268 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 990 October 13, 2012
Addition of decimals – easy 209.6 kB 1000 October 13, 2012
Addition of decimals – medium 234.1 kB 947 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 975 October 13, 2012
Addition of decimals – hard 606.1 kB 912 October 13, 2012
Addition of decimals – very hard 613.3 kB 974 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1047 October 13, 2012
Addition of fractions – easy 592.5 kB 1058 October 13, 2012
Addition of fractions – medium 617.8 kB 1055 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 985 October 13, 2012
Addition of fractions – hard 619.7 kB 950 October 13, 2012
Addition of fractions – very hard 589.2 kB 924 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 985 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1205 October 13, 2012
Addition of improper fractions – medium 601.8 kB 951 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 925 October 13, 2012
Addition of improper fractions – hard 612 kB 933 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 905 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 1803 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 1798 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 1889 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1283 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1208 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1246 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1016 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1066 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1040 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 978 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1036 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 985 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1208 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1396 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1052 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 959 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 947 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 982 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1127 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 979 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 977 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 981 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1156 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 908 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 855 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 889 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 945 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 2190 October 14, 2012
Addition and subtraction decimals 566.1 kB 1361 October 14, 2012
Addition and subtraction fractions 660 kB 1384 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1128 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1153 October 14, 2012


Addition and subtraction knowledge test