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 6398 September 3, 2019
Addition of positive integers – easy 143.6 kB 3576 September 3, 2019
Addition of positive integers – medium 163.9 kB 4146 September 3, 2019
Addition of positive integers – hard 210.4 kB 4339 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 2287 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2080 September 3, 2019
Addition of positive decimals – medium 215.5 kB 1949 September 3, 2019
Addition of positive decimals – hard 222.4 kB 1900 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 2357 September 3, 2019
Addition of positive fractions – easy 201.4 kB 2041 September 3, 2019
Addition of positive fractions – medium 596.3 kB 1922 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 1734 September 3, 2019
Addition of positive fractions – hard 607.6 kB 1607 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 1716 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 2214 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 1726 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 1782 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 1587 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 1747 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 1464 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1346 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 1499 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 1482 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 2531 September 3, 2019
Addition of integers – easy 164.4 kB 2342 September 3, 2019
Addition of integers – medium 186.2 kB 2447 September 3, 2019
Addition of integers – medium-hard 199.4 kB 1935 September 3, 2019
Addition of integers – hard 587.8 kB 1835 September 3, 2019
Addition of integers – very hard 593.2 kB 1921 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 1530 September 3, 2019
Addition of decimals – easy 209.6 kB 1572 September 3, 2019
Addition of decimals – medium 234.1 kB 1493 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 1518 September 3, 2019
Addition of decimals – hard 606.1 kB 1408 September 3, 2019
Addition of decimals – very hard 613.3 kB 1462 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 1614 September 3, 2019
Addition of fractions – easy 592.5 kB 1655 September 3, 2019
Addition of fractions – medium 617.8 kB 1612 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 1510 September 3, 2019
Addition of fractions – hard 619.7 kB 1452 September 3, 2019
Addition of fractions – very hard 589.2 kB 1381 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 1523 September 3, 2019
Addition of improper fractions – easy 234.2 kB 1788 September 3, 2019
Addition of improper fractions – medium 601.8 kB 1483 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1428 September 3, 2019
Addition of improper fractions – hard 612 kB 1419 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 1423 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 2941 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 2691 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 2826 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2048 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 1878 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 1926 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 1586 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 1610 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 1596 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 1478 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 1552 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 1495 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 1915 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 2070 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 1650 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 1465 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 1447 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 1482 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 1749 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 1523 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 1512 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 1458 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 1653 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 1392 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1276 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1328 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 1388 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 3510 September 3, 2019
Addition and subtraction decimals 566.1 kB 1994 September 3, 2019
Addition and subtraction fractions 660 kB 2108 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 1727 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 1718 September 3, 2019