Multiplication is a mathematical operation that scales one number by another (multiplying – sign: x). It replaces addition of a large quantity of numbers in a row. Multiplying is a math operation that is opposite of division. For example: you can substitute the mathematical expression 5+5+5+5 with 5×4 (the number 5 multiplied with the number of times it has appeared in a row).
Multiplication has several properties. When a number is multiplied with the number 1, the product (the result of multiplication) is the same as that number. When a number is multiplied with zero, the product is always zero. When a number is multiplied with negative one, the result is the negative version of that number. It also has properties of commutativity, associativity and distributivity.
The commutative and associative properties are similar to those properties in addition. Distributivity applies when addition and multiplication are combined, as they are in this example:
a * (b + c) = a * b + a * c
A very important thing to remember is that the order of importance of multiplication is always greater than the order of importace of addition or subtraction. You first multiply the numbers (where there is need for that) and them add or subtract them. Here is an example:
5 * 4 + 3 = 20 + 3 = 23
The single exception to the rule is that addition or subtraction has priority over multiplication when the numbers that need to be added and the operator are in brackets, and the operator of multiplication is not.
Multiplying exams for teachers
Exam Name 
File Size 
Downloads 
Upload date 
Positive integers

Multiplying positive integers – very easy 
78 kB 
3805 
September 3, 2019 
Multiplying positive integers – easy 
143 kB 
3810 
September 3, 2019 
Multiplying positive integers – medium 
166.3 kB 
4260 
September 3, 2019 
Multiplying positive integers – mediumhard 
173.1 kB 
3452 
September 3, 2019 
Multiplying positive integers – hard 
561.5 kB 
2780 
September 3, 2019 
Multiplying positive integers – very hard 
571.8 kB 
3062 
September 3, 2019 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
2647 
September 3, 2019 
Multiplying positive decimals – easy 
555.5 kB 
2620 
September 3, 2019 
Multiplying positive decimals – medium 
579.2 kB 
2451 
September 3, 2019 
Multiplying positive decimals – mediumhard 
580.2 kB 
2243 
September 3, 2019 
Multiplying positive decimals – hard 
569.5 kB 
2431 
September 3, 2019 
Multiplying positive decimals – very hard 
567.2 kB 
2222 
September 3, 2019 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
2222 
September 3, 2019 
Multiplying positive fractions – very easy 
172.7 kB 
3298 
September 3, 2019 
Multiplying positive fractions – easy 
188.9 kB 
3095 
September 3, 2019 
Multiplying positive fractions – medium 
577.2 kB 
2494 
September 3, 2019 
Multiplying positive fractions – mediumhard 
591.9 kB 
2220 
September 3, 2019 
Multiplying positive fractions – hard 
575.7 kB 
2250 
September 3, 2019 
Multiplying positive fractions – very hard 
581 kB 
2191 
September 3, 2019 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
2451 
September 3, 2019 
Multiplying positive mixed numbers – easy 
209.8 kB 
2417 
September 3, 2019 
Multiplying positive mixed numbers – medium 
585.6 kB 
2275 
September 3, 2019 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
2142 
September 3, 2019 
Multiplying positive mixed numbers – hard 
589.3 kB 
2188 
September 3, 2019 
Multiplying positive mixed numbers – very hard 
596.6 kB 
2104 
September 3, 2019 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
2176 
September 3, 2019 
Multiplying positive improper fractions – easy 
169.9 kB 
2295 
September 3, 2019 
Multiplying positive improper fractions – medium 
571.6 kB 
2198 
September 3, 2019 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
2042 
September 3, 2019 
Multiplying positive improper fractions – hard 
560.5 kB 
2023 
September 3, 2019 
Multiplying positive improper fractions – very hard 
571.8 kB 
2082 
September 3, 2019 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
2837 
September 3, 2019 
Multiplying integers – easy 
143.6 kB 
2987 
September 3, 2019 
Multiplying integers – medium 
173.3 kB 
2936 
September 3, 2019 
Multiplying integers – mediumhard 
173.5 kB 
2683 
September 3, 2019 
Multiplying integers – hard 
565.9 kB 
2412 
September 3, 2019 
Multiplying integers – very hard 
568 kB 
2311 
September 3, 2019 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
2668 
September 3, 2019 
Multiplying decimals – easy 
187 kB 
2884 
September 3, 2019 
Multiplying decimals – medium 
578.8 kB 
2355 
September 3, 2019 
Multiplying decimals – mediumhard 
577 kB 
2107 
September 3, 2019 
Multiplying decimals – hard 
564.9 kB 
2249 
September 3, 2019 
Multiplying decimals – very hard 
567.9 kB 
2141 
September 3, 2019 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
2474 
September 3, 2019 
Multiplying fractions – easy 
186.7 kB 
2747 
September 3, 2019 
Multiplying fractions – medium 
583.8 kB 
2350 
September 3, 2019 
Multiplying fractions – mediumhard 
589 kB 
2087 
September 3, 2019 
Multiplying fractions – hard 
588 kB 
1985 
September 3, 2019 
Multiplying fractions – very hard 
594.9 kB 
2061 
September 3, 2019 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
2125 
September 3, 2019 
Multiplying mixed numbers – easy 
209 kB 
2273 
September 3, 2019 
Multiplying mixed numbers – medium 
594.7 kB 
2150 
September 3, 2019 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1906 
September 3, 2019 
Multiplying mixed numbers – hard 
586.3 kB 
1907 
September 3, 2019 
Multiplying mixed numbers – very hard 
591.3 kB 
1892 
September 3, 2019 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
1973 
September 3, 2019 
Multiplying improper fractions – easy 
174 kB 
2014 
September 3, 2019 
Multiplying improper fractions – medium 
574.7 kB 
1988 
September 3, 2019 
Multiplying improper fractions – mediumhard 
573.9 kB 
1910 
September 3, 2019 
Multiplying improper fractions – hard 
570.7 kB 
1877 
September 3, 2019 
Multiplying improper fractions – very hard 
577.4 kB 
1917 
September 3, 2019 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
3204 
September 3, 2019 
Multiplying positive decimals 
51.8 kB 
2436 
September 3, 2019 
Multiplying positive fractions 
632.1 kB 
2236 
September 3, 2019 
Multiplying positive mixed numbers 
637.8 kB 
2362 
September 3, 2019 
Multiplying positive improper fractions 
594.6 kB 
1950 
September 3, 2019 
Non positive

Multiplying integers 
166.8 kB 
2553 
September 3, 2019 
Multiplying decimals 
246.3 kB 
2300 
September 3, 2019 
Multiplying fractions 
393.1 kB 
2322 
September 3, 2019 
Multiplying mixed numbers 
412.4 kB 
2107 
September 3, 2019 
Multiplying improper fractions 
334.1 kB 
1934 
September 3, 2019 