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 7728 September 3, 2019
Addition of positive integers – easy 143.6 kB 4722 September 3, 2019
Addition of positive integers – medium 163.9 kB 5119 September 3, 2019
Addition of positive integers – hard 210.4 kB 5542 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2810 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2594 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2486 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2403 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2954 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2819 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2450 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2175 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2073 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2424 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2992 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2459 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2512 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2066 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2200 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1902 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1739 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1932 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1906 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3144 September 3, 2019
Addition of integers – easy 164.4 kB 2968 September 3, 2019
Addition of integers – medium 186.2 kB 3119 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2491 September 3, 2019
Addition of integers – hard 587.8 kB 2428 September 3, 2019
Addition of integers – very hard 593.2 kB 2423 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2004 September 3, 2019
Addition of decimals – easy 209.6 kB 2113 September 3, 2019
Addition of decimals – medium 234.1 kB 1995 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1967 September 3, 2019
Addition of decimals – hard 606.1 kB 1856 September 3, 2019
Addition of decimals – very hard 613.3 kB 1895 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2082 September 3, 2019
Addition of fractions – easy 592.5 kB 2129 September 3, 2019
Addition of fractions – medium 617.8 kB 2122 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1921 September 3, 2019
Addition of fractions – hard 619.7 kB 1911 September 3, 2019
Addition of fractions – very hard 589.2 kB 1815 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1955 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2242 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1880 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1821 September 3, 2019
Addition of improper fractions – hard 612 kB 1828 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1831 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3586 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3367 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3506 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2607 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2379 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2378 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1997 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2296 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2005 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1905 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2207 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1866 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2451 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2837 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2111 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1860 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1823 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1873 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2458 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1943 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1910 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2081 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2276 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2024 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1842 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1684 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1967 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 4331 September 3, 2019
Addition and subtraction decimals 566.1 kB 2751 September 3, 2019
Addition and subtraction fractions 660 kB 2624 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2163 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2138 September 3, 2019