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 7701 September 3, 2019
Addition of positive integers – easy 143.6 kB 4714 September 3, 2019
Addition of positive integers – medium 163.9 kB 5128 September 3, 2019
Addition of positive integers – hard 210.4 kB 5562 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2872 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2656 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2560 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2468 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3036 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2916 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2515 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2238 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2131 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2498 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3046 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2513 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2584 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2124 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2265 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1968 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1792 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1997 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1957 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3193 September 3, 2019
Addition of integers – easy 164.4 kB 3028 September 3, 2019
Addition of integers – medium 186.2 kB 3153 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2557 September 3, 2019
Addition of integers – hard 587.8 kB 2493 September 3, 2019
Addition of integers – very hard 593.2 kB 2492 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2041 September 3, 2019
Addition of decimals – easy 209.6 kB 2177 September 3, 2019
Addition of decimals – medium 234.1 kB 2050 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2031 September 3, 2019
Addition of decimals – hard 606.1 kB 1908 September 3, 2019
Addition of decimals – very hard 613.3 kB 2015 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2163 September 3, 2019
Addition of fractions – easy 592.5 kB 2180 September 3, 2019
Addition of fractions – medium 617.8 kB 2171 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1992 September 3, 2019
Addition of fractions – hard 619.7 kB 1984 September 3, 2019
Addition of fractions – very hard 589.2 kB 1878 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2020 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2294 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1956 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1882 September 3, 2019
Addition of improper fractions – hard 612 kB 1901 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1895 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3619 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3410 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3513 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2649 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2443 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2444 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2088 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2351 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2082 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1995 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2194 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1942 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2513 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2899 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2188 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1915 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1902 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1937 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2521 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2008 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1990 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2165 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2347 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2083 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1923 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1751 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2040 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 4379 September 3, 2019
Addition and subtraction decimals 566.1 kB 2823 September 3, 2019
Addition and subtraction fractions 660 kB 2696 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2260 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2222 September 3, 2019