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 6352 September 3, 2019
Addition of positive integers – easy 143.6 kB 3530 September 3, 2019
Addition of positive integers – medium 163.9 kB 4104 September 3, 2019
Addition of positive integers – hard 210.4 kB 4260 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 2052 September 3, 2019
Addition of positive decimals – medium 215.5 kB 1916 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 2324 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 1709 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1583 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 1666 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2179 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 1688 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 1749 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1556 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1725 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1431 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1324 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1471 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1458 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2498 September 3, 2019
Addition of integers – easy 164.4 kB 2307 September 3, 2019
Addition of integers – medium 186.2 kB 2410 September 3, 2019
Addition of integers – medium-hard 199.4 kB 1912 September 3, 2019
Addition of integers – hard 587.8 kB 1800 September 3, 2019
Addition of integers – very hard 593.2 kB 1895 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1502 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 1494 September 3, 2019
Addition of decimals – hard 606.1 kB 1383 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 1587 September 3, 2019
Addition of fractions – easy 592.5 kB 1624 September 3, 2019
Addition of fractions – medium 617.8 kB 1584 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1483 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 1498 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1764 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 1399 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2909 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2656 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 2018 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 1565 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 1522 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 1894 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 1630 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 1502 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 1436 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1628 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 3462 September 3, 2019
Addition and subtraction decimals 566.1 kB 1964 September 3, 2019
Addition and subtraction fractions 660 kB 2088 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