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 8053 September 3, 2019
Addition of positive integers – easy 143.6 kB 4935 September 3, 2019
Addition of positive integers – medium 163.9 kB 5374 September 3, 2019
Addition of positive integers – hard 210.4 kB 5791 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2953 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2742 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2611 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2532 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3100 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2970 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2580 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2294 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2182 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2544 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3131 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2568 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2616 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2185 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2313 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2003 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1836 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2034 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2004 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3299 September 3, 2019
Addition of integers – easy 164.4 kB 3132 September 3, 2019
Addition of integers – medium 186.2 kB 3266 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2621 September 3, 2019
Addition of integers – hard 587.8 kB 2542 September 3, 2019
Addition of integers – very hard 593.2 kB 2553 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2123 September 3, 2019
Addition of decimals – easy 209.6 kB 2247 September 3, 2019
Addition of decimals – medium 234.1 kB 2123 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2084 September 3, 2019
Addition of decimals – hard 606.1 kB 1970 September 3, 2019
Addition of decimals – very hard 613.3 kB 2003 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2203 September 3, 2019
Addition of fractions – easy 592.5 kB 2246 September 3, 2019
Addition of fractions – medium 617.8 kB 2247 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2017 September 3, 2019
Addition of fractions – hard 619.7 kB 2015 September 3, 2019
Addition of fractions – very hard 589.2 kB 1919 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2067 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2356 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1976 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1913 September 3, 2019
Addition of improper fractions – hard 612 kB 1946 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1936 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3767 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3546 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3670 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2758 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2503 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2507 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2114 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2417 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2137 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2034 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2343 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1972 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2600 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2969 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2220 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1958 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1932 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1980 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2580 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2050 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2019 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2188 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2403 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2144 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1933 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1785 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2063 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 4557 September 3, 2019
Addition and subtraction decimals 566.1 kB 2925 September 3, 2019
Addition and subtraction fractions 660 kB 2753 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2286 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2253 September 3, 2019