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 8238 September 3, 2019
Addition of positive integers – easy 143.6 kB 5075 September 3, 2019
Addition of positive integers – medium 163.9 kB 5506 September 3, 2019
Addition of positive integers – hard 210.4 kB 5953 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 3056 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2839 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2707 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2630 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3198 September 3, 2019
Addition of positive fractions – easy 201.4 kB 3059 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2665 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2364 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2260 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2633 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3228 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2653 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2708 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2270 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2396 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2086 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1920 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2106 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2077 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3404 September 3, 2019
Addition of integers – easy 164.4 kB 3231 September 3, 2019
Addition of integers – medium 186.2 kB 3368 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2713 September 3, 2019
Addition of integers – hard 587.8 kB 2629 September 3, 2019
Addition of integers – very hard 593.2 kB 2644 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2221 September 3, 2019
Addition of decimals – easy 209.6 kB 2339 September 3, 2019
Addition of decimals – medium 234.1 kB 2233 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2204 September 3, 2019
Addition of decimals – hard 606.1 kB 2051 September 3, 2019
Addition of decimals – very hard 613.3 kB 2095 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2284 September 3, 2019
Addition of fractions – easy 592.5 kB 2328 September 3, 2019
Addition of fractions – medium 617.8 kB 2320 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2085 September 3, 2019
Addition of fractions – hard 619.7 kB 2093 September 3, 2019
Addition of fractions – very hard 589.2 kB 1994 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2135 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2429 September 3, 2019
Addition of improper fractions – medium 601.8 kB 2045 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 1975 September 3, 2019
Addition of improper fractions – hard 612 kB 2028 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 2003 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3874 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3643 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3759 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2830 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2583 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2581 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2194 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2509 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2213 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2107 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2412 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 2046 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2697 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 3049 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2293 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 2019 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 2006 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 2052 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2659 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2121 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2083 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2245 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2475 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2214 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 1990 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1853 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2125 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 4705 September 3, 2019
Addition and subtraction decimals 566.1 kB 3052 September 3, 2019
Addition and subtraction fractions 660 kB 2858 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2377 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2318 September 3, 2019