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 7421 September 3, 2019
Addition of positive integers – easy 143.6 kB 4491 September 3, 2019
Addition of positive integers – medium 163.9 kB 4882 September 3, 2019
Addition of positive integers – hard 210.4 kB 5311 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2684 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2470 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2367 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2276 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2816 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2669 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2324 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2062 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1960 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2307 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2864 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2332 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2406 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1950 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2084 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1797 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1625 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1823 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1791 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3003 September 3, 2019
Addition of integers – easy 164.4 kB 2828 September 3, 2019
Addition of integers – medium 186.2 kB 2969 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2353 September 3, 2019
Addition of integers – hard 587.8 kB 2301 September 3, 2019
Addition of integers – very hard 593.2 kB 2309 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1872 September 3, 2019
Addition of decimals – easy 209.6 kB 1992 September 3, 2019
Addition of decimals – medium 234.1 kB 1871 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1852 September 3, 2019
Addition of decimals – hard 606.1 kB 1734 September 3, 2019
Addition of decimals – very hard 613.3 kB 1795 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1973 September 3, 2019
Addition of fractions – easy 592.5 kB 2012 September 3, 2019
Addition of fractions – medium 617.8 kB 2002 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1816 September 3, 2019
Addition of fractions – hard 619.7 kB 1808 September 3, 2019
Addition of fractions – very hard 589.2 kB 1709 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1836 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2122 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1783 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1722 September 3, 2019
Addition of improper fractions – hard 612 kB 1726 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1735 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3427 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3196 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3321 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2463 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2262 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2271 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1891 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2178 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1903 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1818 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1996 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1767 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2320 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2704 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2012 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1751 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1731 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1774 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2346 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1847 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1818 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1983 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2166 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1925 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1764 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1583 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1875 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 4129 September 3, 2019
Addition and subtraction decimals 566.1 kB 2625 September 3, 2019
Addition and subtraction fractions 660 kB 2509 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2071 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2041 September 3, 2019