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 
3132 
September 3, 2019 
Multiplying positive integers – easy 
143 kB 
3156 
September 3, 2019 
Multiplying positive integers – medium 
166.3 kB 
3439 
September 3, 2019 
Multiplying positive integers – mediumhard 
173.1 kB 
2871 
September 3, 2019 
Multiplying positive integers – hard 
561.5 kB 
2274 
September 3, 2019 
Multiplying positive integers – very hard 
571.8 kB 
2486 
September 3, 2019 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
2114 
September 3, 2019 
Multiplying positive decimals – easy 
555.5 kB 
2100 
September 3, 2019 
Multiplying positive decimals – medium 
579.2 kB 
1938 
September 3, 2019 
Multiplying positive decimals – mediumhard 
580.2 kB 
1740 
September 3, 2019 
Multiplying positive decimals – hard 
569.5 kB 
1908 
September 3, 2019 
Multiplying positive decimals – very hard 
567.2 kB 
1740 
September 3, 2019 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
1740 
September 3, 2019 
Multiplying positive fractions – very easy 
172.7 kB 
2596 
September 3, 2019 
Multiplying positive fractions – easy 
188.9 kB 
2446 
September 3, 2019 
Multiplying positive fractions – medium 
577.2 kB 
1964 
September 3, 2019 
Multiplying positive fractions – mediumhard 
591.9 kB 
1741 
September 3, 2019 
Multiplying positive fractions – hard 
575.7 kB 
1746 
September 3, 2019 
Multiplying positive fractions – very hard 
581 kB 
1699 
September 3, 2019 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
1913 
September 3, 2019 
Multiplying positive mixed numbers – easy 
209.8 kB 
1938 
September 3, 2019 
Multiplying positive mixed numbers – medium 
585.6 kB 
1764 
September 3, 2019 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
1677 
September 3, 2019 
Multiplying positive mixed numbers – hard 
589.3 kB 
1702 
September 3, 2019 
Multiplying positive mixed numbers – very hard 
596.6 kB 
1667 
September 3, 2019 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
1695 
September 3, 2019 
Multiplying positive improper fractions – easy 
169.9 kB 
1809 
September 3, 2019 
Multiplying positive improper fractions – medium 
571.6 kB 
1706 
September 3, 2019 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
1628 
September 3, 2019 
Multiplying positive improper fractions – hard 
560.5 kB 
1593 
September 3, 2019 
Multiplying positive improper fractions – very hard 
571.8 kB 
1648 
September 3, 2019 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
2287 
September 3, 2019 
Multiplying integers – easy 
143.6 kB 
2348 
September 3, 2019 
Multiplying integers – medium 
173.3 kB 
2304 
September 3, 2019 
Multiplying integers – mediumhard 
173.5 kB 
2131 
September 3, 2019 
Multiplying integers – hard 
565.9 kB 
1911 
September 3, 2019 
Multiplying integers – very hard 
568 kB 
1799 
September 3, 2019 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
2161 
September 3, 2019 
Multiplying decimals – easy 
187 kB 
2283 
September 3, 2019 
Multiplying decimals – medium 
578.8 kB 
1794 
September 3, 2019 
Multiplying decimals – mediumhard 
577 kB 
1678 
September 3, 2019 
Multiplying decimals – hard 
564.9 kB 
1748 
September 3, 2019 
Multiplying decimals – very hard 
567.9 kB 
1662 
September 3, 2019 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
1853 
September 3, 2019 
Multiplying fractions – easy 
186.7 kB 
2063 
September 3, 2019 
Multiplying fractions – medium 
583.8 kB 
1805 
September 3, 2019 
Multiplying fractions – mediumhard 
589 kB 
1663 
September 3, 2019 
Multiplying fractions – hard 
588 kB 
1575 
September 3, 2019 
Multiplying fractions – very hard 
594.9 kB 
1589 
September 3, 2019 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
1639 
September 3, 2019 
Multiplying mixed numbers – easy 
209 kB 
1795 
September 3, 2019 
Multiplying mixed numbers – medium 
594.7 kB 
1659 
September 3, 2019 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1490 
September 3, 2019 
Multiplying mixed numbers – hard 
586.3 kB 
1519 
September 3, 2019 
Multiplying mixed numbers – very hard 
591.3 kB 
1508 
September 3, 2019 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
1560 
September 3, 2019 
Multiplying improper fractions – easy 
174 kB 
1596 
September 3, 2019 
Multiplying improper fractions – medium 
574.7 kB 
1560 
September 3, 2019 
Multiplying improper fractions – mediumhard 
573.9 kB 
1480 
September 3, 2019 
Multiplying improper fractions – hard 
570.7 kB 
1490 
September 3, 2019 
Multiplying improper fractions – very hard 
577.4 kB 
1490 
September 3, 2019 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
2638 
September 3, 2019 
Multiplying positive decimals 
51.8 kB 
1948 
September 3, 2019 
Multiplying positive fractions 
632.1 kB 
1734 
September 3, 2019 
Multiplying positive mixed numbers 
637.8 kB 
1937 
September 3, 2019 
Multiplying positive improper fractions 
594.6 kB 
1541 
September 3, 2019 
Non positive

Multiplying integers 
166.8 kB 
1990 
September 3, 2019 
Multiplying decimals 
246.3 kB 
1807 
September 3, 2019 
Multiplying fractions 
393.1 kB 
1832 
September 3, 2019 
Multiplying mixed numbers 
412.4 kB 
1687 
September 3, 2019 
Multiplying improper fractions 
334.1 kB 
1574 
September 3, 2019 