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 7060 September 3, 2019
Addition of positive integers – easy 143.6 kB 4258 September 3, 2019
Addition of positive integers – medium 163.9 kB 4667 September 3, 2019
Addition of positive integers – hard 210.4 kB 5051 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2569 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2361 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2250 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2169 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2675 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2494 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2208 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1959 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1851 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2151 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2703 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2179 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2267 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1847 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1984 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1700 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1544 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1727 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1700 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2850 September 3, 2019
Addition of integers – easy 164.4 kB 2689 September 3, 2019
Addition of integers – medium 186.2 kB 2826 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2225 September 3, 2019
Addition of integers – hard 587.8 kB 2151 September 3, 2019
Addition of integers – very hard 593.2 kB 2201 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1764 September 3, 2019
Addition of decimals – easy 209.6 kB 1848 September 3, 2019
Addition of decimals – medium 234.1 kB 1761 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1731 September 3, 2019
Addition of decimals – hard 606.1 kB 1640 September 3, 2019
Addition of decimals – very hard 613.3 kB 1678 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1872 September 3, 2019
Addition of fractions – easy 592.5 kB 1912 September 3, 2019
Addition of fractions – medium 617.8 kB 1896 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1719 September 3, 2019
Addition of fractions – hard 619.7 kB 1710 September 3, 2019
Addition of fractions – very hard 589.2 kB 1608 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1740 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2021 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1688 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1638 September 3, 2019
Addition of improper fractions – hard 612 kB 1636 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1638 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3289 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3050 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3185 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2357 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2164 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2177 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1798 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2038 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1811 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1684 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1840 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1684 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2190 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2556 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1911 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1669 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1646 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1672 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2214 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1759 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1733 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1856 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2033 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1806 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1640 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1504 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1754 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 3961 September 3, 2019
Addition and subtraction decimals 566.1 kB 2466 September 3, 2019
Addition and subtraction fractions 660 kB 2386 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1975 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1953 September 3, 2019