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 6580 September 3, 2019
Addition of positive integers – easy 143.6 kB 3775 September 3, 2019
Addition of positive integers – medium 163.9 kB 4300 September 3, 2019
Addition of positive integers – hard 210.4 kB 4576 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2358 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2150 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2032 September 3, 2019
Addition of positive decimals – hard 222.4 kB 1967 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2444 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2184 September 3, 2019
Addition of positive fractions – medium 596.3 kB 1993 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1792 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1665 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 1857 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2365 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 1862 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 1920 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1648 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1800 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1531 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1403 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1558 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1541 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2629 September 3, 2019
Addition of integers – easy 164.4 kB 2432 September 3, 2019
Addition of integers – medium 186.2 kB 2555 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2010 September 3, 2019
Addition of integers – hard 587.8 kB 1922 September 3, 2019
Addition of integers – very hard 593.2 kB 1999 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1590 September 3, 2019
Addition of decimals – easy 209.6 kB 1656 September 3, 2019
Addition of decimals – medium 234.1 kB 1567 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1571 September 3, 2019
Addition of decimals – hard 606.1 kB 1469 September 3, 2019
Addition of decimals – very hard 613.3 kB 1516 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1681 September 3, 2019
Addition of fractions – easy 592.5 kB 1729 September 3, 2019
Addition of fractions – medium 617.8 kB 1685 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1562 September 3, 2019
Addition of fractions – hard 619.7 kB 1508 September 3, 2019
Addition of fractions – very hard 589.2 kB 1435 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1582 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1844 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1540 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1484 September 3, 2019
Addition of improper fractions – hard 612 kB 1476 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1484 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3033 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2806 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 2935 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2145 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 1953 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 1987 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1632 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1734 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1646 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1524 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1616 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1536 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1983 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2211 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1723 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1516 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1498 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1523 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1871 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1583 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1565 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1568 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1756 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1508 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1374 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1369 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1489 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 3616 September 3, 2019
Addition and subtraction decimals 566.1 kB 2122 September 3, 2019
Addition and subtraction fractions 660 kB 2181 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1792 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1766 September 3, 2019