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 8300 September 3, 2019
Addition of positive integers – easy 143.6 kB 5146 September 3, 2019
Addition of positive integers – medium 163.9 kB 5559 September 3, 2019
Addition of positive integers – hard 210.4 kB 6035 September 3, 2019
Positive decimals
Addition of positive decimals – very easy 175.7 kB 3105 September 3, 2019
Addition of positive decimals – easy 186.3 kB 2883 September 3, 2019
Addition of positive decimals – medium 215.5 kB 2749 September 3, 2019
Addition of positive decimals – hard 222.4 kB 2673 September 3, 2019
Positive fractions
Addition of positive fractions – very easy 186.4 kB 3249 September 3, 2019
Addition of positive fractions – easy 201.4 kB 3111 September 3, 2019
Addition of positive fractions – medium 596.3 kB 2723 September 3, 2019
Addition of positive fractions – medium-hard 613.2 kB 2404 September 3, 2019
Addition of positive fractions – hard 607.6 kB 2304 September 3, 2019
Addition of positive fractions – very hard 627.4 kB 2675 September 3, 2019
Positive mixed numbers
Addition of positive mixed numbers – easy 195.1 kB 3271 September 3, 2019
Addition of positive mixed numbers – medium 606.2 kB 2696 September 3, 2019
Addition of positive mixed numbers – hard 628.6 kB 2746 September 3, 2019
Positive improper fractions
Addition of positive improper fractions – very easy 176.8 kB 2306 September 3, 2019
Addition of positive improper fractions – easy 186.2 kB 2459 September 3, 2019
Addition of positive improper fractions – medium 589.7 kB 2126 September 3, 2019
Addition of positive improper fractions – medium-hard 597 kB 1972 September 3, 2019
Addition of positive improper fractions – hard 576.2 kB 2147 September 3, 2019
Addition of positive improper fractions – very hard 587.1 kB 2113 September 3, 2019
Non positive integers
Addition of integers – very easy 152.8 kB 3452 September 3, 2019
Addition of integers – easy 164.4 kB 3275 September 3, 2019
Addition of integers – medium 186.2 kB 3405 September 3, 2019
Addition of integers – medium-hard 199.4 kB 2758 September 3, 2019
Addition of integers – hard 587.8 kB 2675 September 3, 2019
Addition of integers – very hard 593.2 kB 2682 September 3, 2019
Non positive decimals
Addition of decimals – very easy 198.1 kB 2263 September 3, 2019
Addition of decimals – easy 209.6 kB 2389 September 3, 2019
Addition of decimals – medium 234.1 kB 2276 September 3, 2019
Addition of decimals – medium-hard 593.2 kB 2272 September 3, 2019
Addition of decimals – hard 606.1 kB 2093 September 3, 2019
Addition of decimals – very hard 613.3 kB 2162 September 3, 2019
Non positive fractions
Addition of fractions – very easy 587.5 kB 2322 September 3, 2019
Addition of fractions – easy 592.5 kB 2369 September 3, 2019
Addition of fractions – medium 617.8 kB 2365 September 3, 2019
Addition of fractions – medium-hard 634.7 kB 2120 September 3, 2019
Addition of fractions – hard 619.7 kB 2131 September 3, 2019
Addition of fractions – very hard 589.2 kB 2039 September 3, 2019
Non positive improper fractions
Addition of improper fractions – very easy 225.6 kB 2181 September 3, 2019
Addition of improper fractions – easy 234.2 kB 2469 September 3, 2019
Addition of improper fractions – medium 601.8 kB 2091 September 3, 2019
Addition of improper fractions – medium-hard 619.2 kB 2012 September 3, 2019
Addition of improper fractions – hard 612 kB 2077 September 3, 2019
Addition of improper fractions – very hard 620.6 kB 2041 September 3, 2019
Addition and subtraction
Integers
Addition and subtraction of integers – very easy 152.3 kB 3922 September 3, 2019
Addition and subtraction of integers – easy 164.7 kB 3688 September 3, 2019
Addition and subtraction of integers – medium 185.9 kB 3808 September 3, 2019
Addition and subtraction of integers – medium-hard 193.7 kB 2871 September 3, 2019
Addition and subtraction of integers – hard 587.1 kB 2624 September 3, 2019
Addition and subtraction of integers – very hard 595.1 kB 2626 September 3, 2019
Decimals
Addition and subtraction of decimals – very easy 196.1 kB 2240 September 3, 2019
Addition and subtraction of decimals – easy 203.6 kB 2551 September 3, 2019
Addition and subtraction of decimals – medium 229 kB 2252 September 3, 2019
Addition and subtraction of decimals – medium-hard 236 kB 2151 September 3, 2019
Addition and subtraction of decimals – hard 589.7 kB 2461 September 3, 2019
Addition and subtraction of decimals – very hard 589.7 kB 2084 September 3, 2019
Fractions
Addition and subtraction of fractions – very easy 231.7 kB 2766 September 3, 2019
Addition and subtraction of fractions – easy 12.0 kB 3091 June 11, 2011
Addition and subtraction of fractions – medium 617.3 kB 2337 September 3, 2019
Addition and subtraction of fractions – medium-hard 633.6 kB 2055 September 3, 2019
Addition and subtraction of fractions – hard 631.9 kB 2055 September 3, 2019
Addition and subtraction of fractions – very hard 593.1 kB 2092 September 3, 2019
Mixed numbers
Addition and subtraction of mixed numbers – easy 656.2 kB 2701 September 3, 2019
Addition and subtraction of mixed numbers – medium 632.6 kB 2161 September 3, 2019
Addition and subtraction of mixed numbers – hard 21.4 kB 2122 June 11, 2011
Improper fractions
Addition and subtraction of improper fractions – very easy 218.5 kB 2286 September 3, 2019
Addition and subtraction of improper fractions – easy 11.2 kB 2514 June 11, 2011
Addition and subtraction of improper fractions – medium 601.8 kB 2252 September 3, 2019
Addition and subtraction of improper fractions – medium-hard 622.7 kB 2028 September 3, 2019
Addition and subtraction of improper fractions – hard 624.2 kB 1893 September 3, 2019
Addition and subtraction of improper fractions – very hard 632.4 kB 2158 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 4765 September 3, 2019
Addition and subtraction decimals 566.1 kB 3115 September 3, 2019
Addition and subtraction fractions 660 kB 2904 September 3, 2019
Addition and subtraction mixed numbers 706.4 kB 2420 September 3, 2019
Addition and subtraction improper fractions 655.2 kB 2357 September 3, 2019