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 8202 September 3, 2019
Addition of positive integers – easy 143.6 kB 5055 September 3, 2019
Addition of positive integers – medium 163.9 kB 5488 September 3, 2019
Addition of positive integers – hard 210.4 kB 5922 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 3034 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2826 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2692 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2614 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3180 September 3, 2019
Addition of positive fractions – easy 201.4 kB 3044 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2650 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2354 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2251 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2618 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3212 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2643 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2687 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2257 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2376 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2071 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1905 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2095 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2067 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3389 September 3, 2019
Addition of integers – easy 164.4 kB 3217 September 3, 2019
Addition of integers – medium 186.2 kB 3351 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2698 September 3, 2019
Addition of integers – hard 587.8 kB 2616 September 3, 2019
Addition of integers – very hard 593.2 kB 2625 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2208 September 3, 2019
Addition of decimals – easy 209.6 kB 2325 September 3, 2019
Addition of decimals – medium 234.1 kB 2205 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2186 September 3, 2019
Addition of decimals – hard 606.1 kB 2040 September 3, 2019
Addition of decimals – very hard 613.3 kB 2080 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2270 September 3, 2019
Addition of fractions – easy 592.5 kB 2309 September 3, 2019
Addition of fractions – medium 617.8 kB 2309 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2072 September 3, 2019
Addition of fractions – hard 619.7 kB 2081 September 3, 2019
Addition of fractions – very hard 589.2 kB 1979 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2124 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2418 September 3, 2019
Addition of improper fractions – medium 601.8 kB 2035 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1965 September 3, 2019
Addition of improper fractions – hard 612 kB 2014 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1992 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3860 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3629 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3748 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2818 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2570 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2574 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2185 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2493 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2201 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2093 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2392 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 2034 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2676 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 3036 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2279 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 2008 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1991 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 2031 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2650 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2110 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2073 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2235 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2463 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2201 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1981 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1842 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2114 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 4684 September 3, 2019
Addition and subtraction decimals 566.1 kB 3032 September 3, 2019
Addition and subtraction fractions 660 kB 2841 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2366 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2309 September 3, 2019