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 7509 September 3, 2019
Addition of positive integers – easy 143.6 kB 4563 September 3, 2019
Addition of positive integers – medium 163.9 kB 4963 September 3, 2019
Addition of positive integers – hard 210.4 kB 5398 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2726 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2512 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2410 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2325 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2869 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2717 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2365 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2099 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2000 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2345 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2906 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2382 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2441 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1990 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2122 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1834 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1663 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1861 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1825 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3056 September 3, 2019
Addition of integers – easy 164.4 kB 2879 September 3, 2019
Addition of integers – medium 186.2 kB 3022 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2401 September 3, 2019
Addition of integers – hard 587.8 kB 2348 September 3, 2019
Addition of integers – very hard 593.2 kB 2355 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1916 September 3, 2019
Addition of decimals – easy 209.6 kB 2035 September 3, 2019
Addition of decimals – medium 234.1 kB 1914 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1888 September 3, 2019
Addition of decimals – hard 606.1 kB 1778 September 3, 2019
Addition of decimals – very hard 613.3 kB 1833 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2019 September 3, 2019
Addition of fractions – easy 592.5 kB 2051 September 3, 2019
Addition of fractions – medium 617.8 kB 2042 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1851 September 3, 2019
Addition of fractions – hard 619.7 kB 1845 September 3, 2019
Addition of fractions – very hard 589.2 kB 1747 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1870 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2165 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1819 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1755 September 3, 2019
Addition of improper fractions – hard 612 kB 1763 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1767 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3483 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3252 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3371 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2512 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2302 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2310 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1930 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2219 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1942 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1849 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2079 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1804 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2370 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2755 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2047 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1788 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1764 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1807 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2381 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1880 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1853 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2023 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2211 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1961 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1795 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1612 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1913 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 4197 September 3, 2019
Addition and subtraction decimals 566.1 kB 2671 September 3, 2019
Addition and subtraction fractions 660 kB 2550 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2110 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2080 September 3, 2019