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 5231 October 13, 2012
Addition of positive integers – easy 143.6 kB 2829 October 13, 2012
Addition of positive integers – medium 163.9 kB 3410 October 13, 2012
Addition of positive integers – hard 210.4 kB 3421 October 13, 2012
Positive decimals
Addition of positive decimals – very easy 175.7 kB 1838 October 13, 2012
Addition of positive decimals – easy 186.3 kB 1728 October 13, 2012
Addition of positive decimals – medium 215.5 kB 1593 October 13, 2012
Addition of positive decimals – hard 222.4 kB 1563 October 13, 2012
Positive fractions
Addition of positive fractions – very easy 186.4 kB 1912 October 13, 2012
Addition of positive fractions – easy 201.4 kB 1677 October 13, 2012
Addition of positive fractions – medium 596.3 kB 1604 October 13, 2012
Addition of positive fractions – medium-hard 613.2 kB 1389 October 13, 2012
Addition of positive fractions – hard 607.6 kB 1293 October 13, 2012
Addition of positive fractions – very hard 627.4 kB 1377 October 13, 2012
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 1732 October 13, 2012
Addition of positive mixed numbers – medium 606.2 kB 1395 October 13, 2012
Addition of positive mixed numbers – hard 628.6 kB 1480 October 13, 2012
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1269 October 13, 2012
Addition of positive improper fractions – easy 186.2 kB 1482 October 13, 2012
Addition of positive improper fractions – medium 589.7 kB 1180 October 13, 2012
Addition of positive improper fractions – medium-hard 597 kB 1074 October 13, 2012
Addition of positive improper fractions – hard 576.2 kB 1201 October 13, 2012
Addition of positive improper fractions – very hard 587.1 kB 1223 October 13, 2012
Non positive integers
Addition of integers – very easy 152.8 kB 1889 October 13, 2012
Addition of integers – easy 164.4 kB 1902 October 13, 2012
Addition of integers – medium 186.2 kB 2006 October 13, 2012
Addition of integers – medium-hard 199.4 kB 1575 October 13, 2012
Addition of integers – hard 587.8 kB 1478 October 13, 2012
Addition of integers – very hard 593.2 kB 1588 October 13, 2012
Non positive decimals
Addition of decimals – very easy 198.1 kB 1230 October 13, 2012
Addition of decimals – easy 209.6 kB 1245 October 13, 2012
Addition of decimals – medium 234.1 kB 1196 October 13, 2012
Addition of decimals – medium-hard 593.2 kB 1232 October 13, 2012
Addition of decimals – hard 606.1 kB 1135 October 13, 2012
Addition of decimals – very hard 613.3 kB 1202 October 13, 2012
Non positive fractions
Addition of fractions – very easy 587.5 kB 1290 October 13, 2012
Addition of fractions – easy 592.5 kB 1352 October 13, 2012
Addition of fractions – medium 617.8 kB 1315 October 13, 2012
Addition of fractions – medium-hard 634.7 kB 1235 October 13, 2012
Addition of fractions – hard 619.7 kB 1205 October 13, 2012
Addition of fractions – very hard 589.2 kB 1109 October 13, 2012
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1223 October 13, 2012
Addition of improper fractions – easy 234.2 kB 1485 October 13, 2012
Addition of improper fractions – medium 601.8 kB 1208 October 13, 2012
Addition of improper fractions – medium-hard 619.2 kB 1166 October 13, 2012
Addition of improper fractions – hard 612 kB 1164 October 13, 2012
Addition of improper fractions – very hard 620.6 kB 1158 October 13, 2012
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2198 October 13, 2012
Addition and subtraction of integers – easy 164.7 kB 2168 October 13, 2012
Addition and subtraction of integers – medium 185.9 kB 2304 October 13, 2012
Addition and subtraction of integers – medium-hard 193.7 kB 1615 October 13, 2012
Addition and subtraction of integers – hard 587.1 kB 1496 October 13, 2012
Addition and subtraction of integers – very hard 595.1 kB 1528 October 13, 2012
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1264 October 13, 2012
Addition and subtraction of decimals – easy 203.6 kB 1335 October 13, 2012
Addition and subtraction of decimals – medium 229 kB 1295 October 13, 2012
Addition and subtraction of decimals – medium-hard 236 kB 1235 October 13, 2012
Addition and subtraction of decimals – hard 589.7 kB 1303 October 13, 2012
Addition and subtraction of decimals – very hard 589.7 kB 1232 October 13, 2012
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1530 October 13, 2012
Addition and subtraction of fractions – easy 12.0 kB 1718 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1330 October 13, 2012
Addition and subtraction of fractions – medium-hard 633.6 kB 1204 October 13, 2012
Addition and subtraction of fractions – hard 631.9 kB 1188 October 13, 2012
Addition and subtraction of fractions – very hard 593.1 kB 1203 October 13, 2012
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1399 October 13, 2012
Addition and subtraction of mixed numbers – medium 632.6 kB 1236 October 13, 2012
Addition and subtraction of mixed numbers – hard 21.4 kB 1217 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1190 October 13, 2012
Addition and subtraction of improper fractions – easy 11.2 kB 1365 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1146 October 13, 2012
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1052 October 13, 2012
Addition and subtraction of improper fractions – hard 624.2 kB 1080 October 13, 2012
Addition and subtraction of improper fractions – very hard 632.4 kB 1149 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 2687 October 14, 2012
Addition and subtraction decimals 566.1 kB 1652 October 14, 2012
Addition and subtraction fractions 660 kB 1737 October 14, 2012
Addition and subtraction mixed numbers 706.4 kB 1390 October 14, 2012
Addition and subtraction improper fractions 655.2 kB 1436 October 14, 2012

Addition and subtraction knowledge test