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 6660 September 3, 2019
Addition of positive integers – easy 143.6 kB 3870 September 3, 2019
Addition of positive integers – medium 163.9 kB 4362 September 3, 2019
Addition of positive integers – hard 210.4 kB 4627 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2388 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2179 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2067 September 3, 2019
Addition of positive decimals – hard 222.4 kB 1997 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2491 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2249 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2026 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1816 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1693 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 1926 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2420 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 1933 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 1981 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1678 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1827 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1558 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1425 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1584 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1566 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2661 September 3, 2019
Addition of integers – easy 164.4 kB 2471 September 3, 2019
Addition of integers – medium 186.2 kB 2596 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2041 September 3, 2019
Addition of integers – hard 587.8 kB 1959 September 3, 2019
Addition of integers – very hard 593.2 kB 2029 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1614 September 3, 2019
Addition of decimals – easy 209.6 kB 1683 September 3, 2019
Addition of decimals – medium 234.1 kB 1600 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1592 September 3, 2019
Addition of decimals – hard 606.1 kB 1497 September 3, 2019
Addition of decimals – very hard 613.3 kB 1546 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1714 September 3, 2019
Addition of fractions – easy 592.5 kB 1759 September 3, 2019
Addition of fractions – medium 617.8 kB 1723 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1585 September 3, 2019
Addition of fractions – hard 619.7 kB 1541 September 3, 2019
Addition of fractions – very hard 589.2 kB 1458 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1609 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1868 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1561 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1505 September 3, 2019
Addition of improper fractions – hard 612 kB 1498 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1509 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3077 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2854 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 2981 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2179 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 1992 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2021 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1655 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1796 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1669 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1544 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1653 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1565 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2032 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2286 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1755 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1540 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1524 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1547 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1945 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1611 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1587 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1624 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1814 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1567 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1433 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1394 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1550 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 3669 September 3, 2019
Addition and subtraction decimals 566.1 kB 2186 September 3, 2019
Addition and subtraction fractions 660 kB 2209 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1817 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1796 September 3, 2019