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 8715 September 3, 2019
Addition of positive integers – easy 143.6 kB 5590 September 3, 2019
Addition of positive integers – medium 163.9 kB 5964 September 3, 2019
Addition of positive integers – hard 210.4 kB 6484 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 3470 September 3, 2019
Addition of positive decimals – easy 186.3 kB 3234 September 3, 2019
Addition of positive decimals – medium 215.5 kB 3098 September 3, 2019
Addition of positive decimals – hard 222.4 kB 3025 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3592 September 3, 2019
Addition of positive fractions – easy 201.4 kB 3526 September 3, 2019
Addition of positive fractions – medium 596.3 kB 3115 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2764 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2647 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 3009 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3610 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 3060 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 3046 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2667 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2873 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2458 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 2313 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2461 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2455 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3844 September 3, 2019
Addition of integers – easy 164.4 kB 3631 September 3, 2019
Addition of integers – medium 186.2 kB 3756 September 3, 2019
Addition of integers – medium-hard 199.4 kB 3122 September 3, 2019
Addition of integers – hard 587.8 kB 3022 September 3, 2019
Addition of integers – very hard 593.2 kB 3020 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2631 September 3, 2019
Addition of decimals – easy 209.6 kB 2769 September 3, 2019
Addition of decimals – medium 234.1 kB 2643 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2778 September 3, 2019
Addition of decimals – hard 606.1 kB 2427 September 3, 2019
Addition of decimals – very hard 613.3 kB 2609 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2669 September 3, 2019
Addition of fractions – easy 592.5 kB 2696 September 3, 2019
Addition of fractions – medium 617.8 kB 2732 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2433 September 3, 2019
Addition of fractions – hard 619.7 kB 2450 September 3, 2019
Addition of fractions – very hard 589.2 kB 2385 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2516 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2845 September 3, 2019
Addition of improper fractions – medium 601.8 kB 2426 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 2343 September 3, 2019
Addition of improper fractions – hard 612 kB 2441 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 2366 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 4301 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 4156 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 3262 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2961 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2968 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2573 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2893 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2583 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2501 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2798 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 2425 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 3164 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 3435 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2670 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 2435 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 2414 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 2422 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 3047 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2503 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2448 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2604 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2830 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2605 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 2355 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 2227 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2472 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 5185 September 3, 2019
Addition and subtraction decimals 566.1 kB 3693 September 3, 2019
Addition and subtraction fractions 660 kB 3273 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2780 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2686 September 3, 2019