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 6354 September 3, 2019
Addition of positive integers – easy 143.6 kB 3532 September 3, 2019
Addition of positive integers – medium 163.9 kB 4105 September 3, 2019
Addition of positive integers – hard 210.4 kB 4263 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2255 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2054 September 3, 2019
Addition of positive decimals – medium 215.5 kB 1917 September 3, 2019
Addition of positive decimals – hard 222.4 kB 1875 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2326 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2002 September 3, 2019
Addition of positive fractions – medium 596.3 kB 1898 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1710 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1583 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 1667 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2181 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 1689 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 1750 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1560 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1727 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1432 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1328 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1473 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1460 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2501 September 3, 2019
Addition of integers – easy 164.4 kB 2308 September 3, 2019
Addition of integers – medium 186.2 kB 2411 September 3, 2019
Addition of integers – medium-hard 199.4 kB 1913 September 3, 2019
Addition of integers – hard 587.8 kB 1800 September 3, 2019
Addition of integers – very hard 593.2 kB 1896 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1504 September 3, 2019
Addition of decimals – easy 209.6 kB 1540 September 3, 2019
Addition of decimals – medium 234.1 kB 1461 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1495 September 3, 2019
Addition of decimals – hard 606.1 kB 1385 September 3, 2019
Addition of decimals – very hard 613.3 kB 1437 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1589 September 3, 2019
Addition of fractions – easy 592.5 kB 1625 September 3, 2019
Addition of fractions – medium 617.8 kB 1584 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1484 September 3, 2019
Addition of fractions – hard 619.7 kB 1428 September 3, 2019
Addition of fractions – very hard 589.2 kB 1360 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1501 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1765 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1460 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1403 September 3, 2019
Addition of improper fractions – hard 612 kB 1394 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1400 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2910 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2659 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 2788 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2019 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 1853 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 1905 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1567 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1585 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1576 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1459 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1523 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1475 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1895 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2044 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1631 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1446 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1426 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1465 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1721 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1503 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1497 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1439 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1629 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1374 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1253 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1312 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1365 September 3, 2019

 

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 3464 September 3, 2019
Addition and subtraction decimals 566.1 kB 1964 September 3, 2019
Addition and subtraction fractions 660 kB 2089 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1708 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1701 September 3, 2019