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 8713 September 3, 2019
Addition of positive integers – easy 143.6 kB 5586 September 3, 2019
Addition of positive integers – medium 163.9 kB 5962 September 3, 2019
Addition of positive integers – hard 210.4 kB 6480 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 3468 September 3, 2019
Addition of positive decimals – easy 186.3 kB 3233 September 3, 2019
Addition of positive decimals – medium 215.5 kB 3096 September 3, 2019
Addition of positive decimals – hard 222.4 kB 3024 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3589 September 3, 2019
Addition of positive fractions – easy 201.4 kB 3524 September 3, 2019
Addition of positive fractions – medium 596.3 kB 3113 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2762 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2646 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 3006 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3609 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 3058 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 3043 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2664 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2871 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2455 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 2312 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2460 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2453 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3842 September 3, 2019
Addition of integers – easy 164.4 kB 3629 September 3, 2019
Addition of integers – medium 186.2 kB 3754 September 3, 2019
Addition of integers – medium-hard 199.4 kB 3120 September 3, 2019
Addition of integers – hard 587.8 kB 3020 September 3, 2019
Addition of integers – very hard 593.2 kB 3018 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2629 September 3, 2019
Addition of decimals – easy 209.6 kB 2767 September 3, 2019
Addition of decimals – medium 234.1 kB 2641 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2777 September 3, 2019
Addition of decimals – hard 606.1 kB 2427 September 3, 2019
Addition of decimals – very hard 613.3 kB 2607 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2668 September 3, 2019
Addition of fractions – easy 592.5 kB 2694 September 3, 2019
Addition of fractions – medium 617.8 kB 2730 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2432 September 3, 2019
Addition of fractions – hard 619.7 kB 2448 September 3, 2019
Addition of fractions – very hard 589.2 kB 2384 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2514 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2843 September 3, 2019
Addition of improper fractions – medium 601.8 kB 2424 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 2341 September 3, 2019
Addition of improper fractions – hard 612 kB 2440 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 2364 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 4300 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 4067 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 4153 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 3260 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2959 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2966 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2571 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2891 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2582 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2499 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2797 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 2423 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 3162 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 3434 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2668 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 2434 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 2412 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 2420 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 3045 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2501 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2446 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2602 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2829 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2603 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 2353 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 2225 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2470 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 5182 September 3, 2019
Addition and subtraction decimals 566.1 kB 3691 September 3, 2019
Addition and subtraction fractions 660 kB 3271 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2778 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2684 September 3, 2019