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 6923 September 3, 2019
Addition of positive integers – easy 143.6 kB 4157 September 3, 2019
Addition of positive integers – medium 163.9 kB 4589 September 3, 2019
Addition of positive integers – hard 210.4 kB 4953 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2528 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2328 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2215 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2137 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2633 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2452 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2175 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1928 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1826 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2106 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2638 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2127 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2204 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1819 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1952 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1671 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1518 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1702 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1673 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2813 September 3, 2019
Addition of integers – easy 164.4 kB 2644 September 3, 2019
Addition of integers – medium 186.2 kB 2780 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2191 September 3, 2019
Addition of integers – hard 587.8 kB 2105 September 3, 2019
Addition of integers – very hard 593.2 kB 2170 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1738 September 3, 2019
Addition of decimals – easy 209.6 kB 1821 September 3, 2019
Addition of decimals – medium 234.1 kB 1731 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1706 September 3, 2019
Addition of decimals – hard 606.1 kB 1610 September 3, 2019
Addition of decimals – very hard 613.3 kB 1655 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1838 September 3, 2019
Addition of fractions – easy 592.5 kB 1886 September 3, 2019
Addition of fractions – medium 617.8 kB 1865 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1697 September 3, 2019
Addition of fractions – hard 619.7 kB 1678 September 3, 2019
Addition of fractions – very hard 589.2 kB 1579 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1716 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1990 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1664 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1615 September 3, 2019
Addition of improper fractions – hard 612 kB 1611 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1614 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3230 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3007 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3137 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2321 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2128 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2148 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1764 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1990 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1782 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1647 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1804 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1661 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2151 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2500 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1873 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1646 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1625 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1651 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2154 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1727 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1709 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1805 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1987 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1772 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1598 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1488 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1718 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 3897 September 3, 2019
Addition and subtraction decimals 566.1 kB 2415 September 3, 2019
Addition and subtraction fractions 660 kB 2354 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1946 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1930 September 3, 2019