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 6483 September 3, 2019
Addition of positive integers – easy 143.6 kB 3663 September 3, 2019
Addition of positive integers – medium 163.9 kB 4223 September 3, 2019
Addition of positive integers – hard 210.4 kB 4465 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2323 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2114 September 3, 2019
Addition of positive decimals – medium 215.5 kB 1993 September 3, 2019
Addition of positive decimals – hard 222.4 kB 1932 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2395 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2105 September 3, 2019
Addition of positive fractions – medium 596.3 kB 1956 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1761 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1634 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 1783 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2278 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 1787 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 1841 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1612 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1775 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1501 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1374 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1527 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1509 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2589 September 3, 2019
Addition of integers – easy 164.4 kB 2391 September 3, 2019
Addition of integers – medium 186.2 kB 2501 September 3, 2019
Addition of integers – medium-hard 199.4 kB 1980 September 3, 2019
Addition of integers – hard 587.8 kB 1879 September 3, 2019
Addition of integers – very hard 593.2 kB 1964 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1561 September 3, 2019
Addition of decimals – easy 209.6 kB 1602 September 3, 2019
Addition of decimals – medium 234.1 kB 1527 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1547 September 3, 2019
Addition of decimals – hard 606.1 kB 1438 September 3, 2019
Addition of decimals – very hard 613.3 kB 1487 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1646 September 3, 2019
Addition of fractions – easy 592.5 kB 1688 September 3, 2019
Addition of fractions – medium 617.8 kB 1646 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1535 September 3, 2019
Addition of fractions – hard 619.7 kB 1479 September 3, 2019
Addition of fractions – very hard 589.2 kB 1407 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1550 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1814 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1512 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1452 September 3, 2019
Addition of improper fractions – hard 612 kB 1447 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1448 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2982 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2755 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 2883 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2102 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 1914 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 1955 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1609 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1663 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1620 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1498 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1583 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1513 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1949 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2134 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1684 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1488 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1466 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1501 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1806 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1556 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1539 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1508 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1698 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1442 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1321 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1349 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1429 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 3571 September 3, 2019
Addition and subtraction decimals 566.1 kB 2055 September 3, 2019
Addition and subtraction fractions 660 kB 2140 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1750 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1741 September 3, 2019