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 8684 September 3, 2019
Addition of positive integers – easy 143.6 kB 5558 September 3, 2019
Addition of positive integers – medium 163.9 kB 5933 September 3, 2019
Addition of positive integers – hard 210.4 kB 6458 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 3443 September 3, 2019
Addition of positive decimals – easy 186.3 kB 3198 September 3, 2019
Addition of positive decimals – medium 215.5 kB 3067 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2998 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3563 September 3, 2019
Addition of positive fractions – easy 201.4 kB 3496 September 3, 2019
Addition of positive fractions – medium 596.3 kB 3088 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2745 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2619 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2982 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3583 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 3036 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 3024 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2639 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2848 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2430 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 2282 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2434 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2428 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3817 September 3, 2019
Addition of integers – easy 164.4 kB 3605 September 3, 2019
Addition of integers – medium 186.2 kB 3725 September 3, 2019
Addition of integers – medium-hard 199.4 kB 3091 September 3, 2019
Addition of integers – hard 587.8 kB 2997 September 3, 2019
Addition of integers – very hard 593.2 kB 2992 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2606 September 3, 2019
Addition of decimals – easy 209.6 kB 2741 September 3, 2019
Addition of decimals – medium 234.1 kB 2616 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2742 September 3, 2019
Addition of decimals – hard 606.1 kB 2401 September 3, 2019
Addition of decimals – very hard 613.3 kB 2581 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2643 September 3, 2019
Addition of fractions – easy 592.5 kB 2670 September 3, 2019
Addition of fractions – medium 617.8 kB 2702 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2405 September 3, 2019
Addition of fractions – hard 619.7 kB 2426 September 3, 2019
Addition of fractions – very hard 589.2 kB 2354 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2484 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2813 September 3, 2019
Addition of improper fractions – medium 601.8 kB 2401 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 2310 September 3, 2019
Addition of improper fractions – hard 612 kB 2415 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 2337 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 4274 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 4035 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 4127 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 3228 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2933 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2933 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2540 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2865 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2554 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2471 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2769 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 2396 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 3131 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 3402 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2634 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 2403 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 2387 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 2399 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 3015 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2475 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2414 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2575 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2803 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2567 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 2326 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 2200 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2443 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 5158 September 3, 2019
Addition and subtraction decimals 566.1 kB 3636 September 3, 2019
Addition and subtraction fractions 660 kB 3248 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2741 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2661 September 3, 2019