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 6808 September 3, 2019
Addition of positive integers – easy 143.6 kB 4019 September 3, 2019
Addition of positive integers – medium 163.9 kB 4471 September 3, 2019
Addition of positive integers – hard 210.4 kB 4799 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2464 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2260 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2147 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2069 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2575 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2356 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2103 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1879 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1759 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2025 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2537 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2048 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2102 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1758 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1900 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1617 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1473 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1649 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1621 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2743 September 3, 2019
Addition of integers – easy 164.4 kB 2557 September 3, 2019
Addition of integers – medium 186.2 kB 2691 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2117 September 3, 2019
Addition of integers – hard 587.8 kB 2032 September 3, 2019
Addition of integers – very hard 593.2 kB 2111 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1685 September 3, 2019
Addition of decimals – easy 209.6 kB 1751 September 3, 2019
Addition of decimals – medium 234.1 kB 1666 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1649 September 3, 2019
Addition of decimals – hard 606.1 kB 1557 September 3, 2019
Addition of decimals – very hard 613.3 kB 1605 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1781 September 3, 2019
Addition of fractions – easy 592.5 kB 1824 September 3, 2019
Addition of fractions – medium 617.8 kB 1789 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1641 September 3, 2019
Addition of fractions – hard 619.7 kB 1609 September 3, 2019
Addition of fractions – very hard 589.2 kB 1528 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1664 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1934 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1619 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1565 September 3, 2019
Addition of improper fractions – hard 612 kB 1555 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1566 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3147 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2927 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3061 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2245 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2063 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2080 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1713 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1912 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1733 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1598 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1728 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1615 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2087 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2401 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1813 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1597 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1575 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1600 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2042 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1670 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1649 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1720 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1908 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1677 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1522 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1445 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1634 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 3781 September 3, 2019
Addition and subtraction decimals 566.1 kB 2314 September 3, 2019
Addition and subtraction fractions 660 kB 2280 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1881 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1872 September 3, 2019