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 7907 September 3, 2019
Addition of positive integers – easy 143.6 kB 4827 September 3, 2019
Addition of positive integers – medium 163.9 kB 5243 September 3, 2019
Addition of positive integers – hard 210.4 kB 5643 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2869 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2656 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2536 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2462 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3013 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2890 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2509 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2224 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2119 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2475 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3053 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2506 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2553 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2118 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2249 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1945 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1776 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1976 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1948 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3214 September 3, 2019
Addition of integers – easy 164.4 kB 3037 September 3, 2019
Addition of integers – medium 186.2 kB 3184 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2545 September 3, 2019
Addition of integers – hard 587.8 kB 2475 September 3, 2019
Addition of integers – very hard 593.2 kB 2477 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2054 September 3, 2019
Addition of decimals – easy 209.6 kB 2172 September 3, 2019
Addition of decimals – medium 234.1 kB 2055 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2016 September 3, 2019
Addition of decimals – hard 606.1 kB 1905 September 3, 2019
Addition of decimals – very hard 613.3 kB 1939 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2137 September 3, 2019
Addition of fractions – easy 592.5 kB 2179 September 3, 2019
Addition of fractions – medium 617.8 kB 2167 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1958 September 3, 2019
Addition of fractions – hard 619.7 kB 1957 September 3, 2019
Addition of fractions – very hard 589.2 kB 1856 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1998 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2292 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1921 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1856 September 3, 2019
Addition of improper fractions – hard 612 kB 1880 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1874 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3663 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3445 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3570 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2672 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2430 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2429 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2049 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2349 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2067 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1958 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2276 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1913 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2512 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2897 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2158 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1901 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1866 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1919 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2515 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1987 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1951 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2131 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2327 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2073 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1876 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1721 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2005 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 4425 September 3, 2019
Addition and subtraction decimals 566.1 kB 2815 September 3, 2019
Addition and subtraction fractions 660 kB 2679 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2214 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2188 September 3, 2019