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 8734 September 3, 2019
Addition of positive integers – easy 143.6 kB 5607 September 3, 2019
Addition of positive integers – medium 163.9 kB 5983 September 3, 2019
Addition of positive integers – hard 210.4 kB 6504 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 3486 September 3, 2019
Addition of positive decimals – easy 186.3 kB 3254 September 3, 2019
Addition of positive decimals – medium 215.5 kB 3115 September 3, 2019
Addition of positive decimals – hard 222.4 kB 3043 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3609 September 3, 2019
Addition of positive fractions – easy 201.4 kB 3545 September 3, 2019
Addition of positive fractions – medium 596.3 kB 3132 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2785 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2665 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 3029 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3629 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 3078 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 3064 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2685 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2888 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2476 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 2328 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2481 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2474 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3864 September 3, 2019
Addition of integers – easy 164.4 kB 3655 September 3, 2019
Addition of integers – medium 186.2 kB 3774 September 3, 2019
Addition of integers – medium-hard 199.4 kB 3142 September 3, 2019
Addition of integers – hard 587.8 kB 3039 September 3, 2019
Addition of integers – very hard 593.2 kB 3037 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2653 September 3, 2019
Addition of decimals – easy 209.6 kB 2788 September 3, 2019
Addition of decimals – medium 234.1 kB 2668 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2799 September 3, 2019
Addition of decimals – hard 606.1 kB 2455 September 3, 2019
Addition of decimals – very hard 613.3 kB 2632 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2688 September 3, 2019
Addition of fractions – easy 592.5 kB 2715 September 3, 2019
Addition of fractions – medium 617.8 kB 2750 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2451 September 3, 2019
Addition of fractions – hard 619.7 kB 2468 September 3, 2019
Addition of fractions – very hard 589.2 kB 2405 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2534 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2863 September 3, 2019
Addition of improper fractions – medium 601.8 kB 2442 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 2364 September 3, 2019
Addition of improper fractions – hard 612 kB 2458 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 2383 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 4322 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 4093 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 4172 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 3285 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2982 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2993 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2592 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2912 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2600 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2520 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2815 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 2441 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 3180 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 3456 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2685 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 2451 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 2431 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 2438 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 3070 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2521 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2466 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2619 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2845 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2621 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 2371 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 2244 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2489 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 5207 September 3, 2019
Addition and subtraction decimals 566.1 kB 3717 September 3, 2019
Addition and subtraction fractions 660 kB 3298 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2797 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2706 September 3, 2019