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 6854 September 3, 2019
Addition of positive integers – easy 143.6 kB 4079 September 3, 2019
Addition of positive integers – medium 163.9 kB 4517 September 3, 2019
Addition of positive integers – hard 210.4 kB 4871 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2493 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2290 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2177 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2098 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2604 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2401 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2139 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1905 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1791 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2063 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2585 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2083 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2148 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1789 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1924 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1645 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1496 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1675 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1648 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2774 September 3, 2019
Addition of integers – easy 164.4 kB 2593 September 3, 2019
Addition of integers – medium 186.2 kB 2729 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2143 September 3, 2019
Addition of integers – hard 587.8 kB 2061 September 3, 2019
Addition of integers – very hard 593.2 kB 2136 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1709 September 3, 2019
Addition of decimals – easy 209.6 kB 1783 September 3, 2019
Addition of decimals – medium 234.1 kB 1695 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1674 September 3, 2019
Addition of decimals – hard 606.1 kB 1581 September 3, 2019
Addition of decimals – very hard 613.3 kB 1630 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1806 September 3, 2019
Addition of fractions – easy 592.5 kB 1851 September 3, 2019
Addition of fractions – medium 617.8 kB 1820 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1666 September 3, 2019
Addition of fractions – hard 619.7 kB 1639 September 3, 2019
Addition of fractions – very hard 589.2 kB 1553 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1686 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1960 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1640 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1588 September 3, 2019
Addition of improper fractions – hard 612 kB 1581 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1593 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3178 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2957 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3094 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2280 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2093 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2110 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1737 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1946 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1756 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1621 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1765 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1638 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2118 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2446 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1843 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1621 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1601 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1625 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2094 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1697 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1678 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1759 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1942 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1724 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1559 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1463 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1668 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 3824 September 3, 2019
Addition and subtraction decimals 566.1 kB 2357 September 3, 2019
Addition and subtraction fractions 660 kB 2310 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1910 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1900 September 3, 2019