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 6716 September 3, 2019
Addition of positive integers – easy 143.6 kB 3941 September 3, 2019
Addition of positive integers – medium 163.9 kB 4404 September 3, 2019
Addition of positive integers – hard 210.4 kB 4679 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2416 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2215 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2100 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2024 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2524 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2293 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2054 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1842 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1717 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 1965 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2469 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 1986 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2027 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1712 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1856 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1582 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1446 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1610 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1587 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2701 September 3, 2019
Addition of integers – easy 164.4 kB 2504 September 3, 2019
Addition of integers – medium 186.2 kB 2634 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2067 September 3, 2019
Addition of integers – hard 587.8 kB 1987 September 3, 2019
Addition of integers – very hard 593.2 kB 2061 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1645 September 3, 2019
Addition of decimals – easy 209.6 kB 1710 September 3, 2019
Addition of decimals – medium 234.1 kB 1624 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1615 September 3, 2019
Addition of decimals – hard 606.1 kB 1521 September 3, 2019
Addition of decimals – very hard 613.3 kB 1569 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1742 September 3, 2019
Addition of fractions – easy 592.5 kB 1785 September 3, 2019
Addition of fractions – medium 617.8 kB 1747 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1608 September 3, 2019
Addition of fractions – hard 619.7 kB 1565 September 3, 2019
Addition of fractions – very hard 589.2 kB 1485 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1630 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1892 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1586 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1527 September 3, 2019
Addition of improper fractions – hard 612 kB 1524 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1533 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3105 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2886 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3019 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2204 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2019 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2047 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1678 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1841 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1695 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1565 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1682 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1587 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2056 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2334 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1778 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1561 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1547 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1570 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1984 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1634 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1610 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1666 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1854 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1617 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1470 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1414 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1585 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 3718 September 3, 2019
Addition and subtraction decimals 566.1 kB 2232 September 3, 2019
Addition and subtraction fractions 660 kB 2235 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1844 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1819 September 3, 2019