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 
3733 
September 3, 2019 
Multiplying positive integers – easy 
143 kB 
3737 
September 3, 2019 
Multiplying positive integers – medium 
166.3 kB 
4183 
September 3, 2019 
Multiplying positive integers – mediumhard 
173.1 kB 
3385 
September 3, 2019 
Multiplying positive integers – hard 
561.5 kB 
2713 
September 3, 2019 
Multiplying positive integers – very hard 
571.8 kB 
2997 
September 3, 2019 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
2598 
September 3, 2019 
Multiplying positive decimals – easy 
555.5 kB 
2556 
September 3, 2019 
Multiplying positive decimals – medium 
579.2 kB 
2401 
September 3, 2019 
Multiplying positive decimals – mediumhard 
580.2 kB 
2180 
September 3, 2019 
Multiplying positive decimals – hard 
569.5 kB 
2371 
September 3, 2019 
Multiplying positive decimals – very hard 
567.2 kB 
2159 
September 3, 2019 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
2159 
September 3, 2019 
Multiplying positive fractions – very easy 
172.7 kB 
3229 
September 3, 2019 
Multiplying positive fractions – easy 
188.9 kB 
3033 
September 3, 2019 
Multiplying positive fractions – medium 
577.2 kB 
2439 
September 3, 2019 
Multiplying positive fractions – mediumhard 
591.9 kB 
2168 
September 3, 2019 
Multiplying positive fractions – hard 
575.7 kB 
2193 
September 3, 2019 
Multiplying positive fractions – very hard 
581 kB 
2140 
September 3, 2019 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
2400 
September 3, 2019 
Multiplying positive mixed numbers – easy 
209.8 kB 
2362 
September 3, 2019 
Multiplying positive mixed numbers – medium 
585.6 kB 
2221 
September 3, 2019 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
2090 
September 3, 2019 
Multiplying positive mixed numbers – hard 
589.3 kB 
2135 
September 3, 2019 
Multiplying positive mixed numbers – very hard 
596.6 kB 
2051 
September 3, 2019 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
2117 
September 3, 2019 
Multiplying positive improper fractions – easy 
169.9 kB 
2244 
September 3, 2019 
Multiplying positive improper fractions – medium 
571.6 kB 
2138 
September 3, 2019 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
1990 
September 3, 2019 
Multiplying positive improper fractions – hard 
560.5 kB 
1973 
September 3, 2019 
Multiplying positive improper fractions – very hard 
571.8 kB 
2034 
September 3, 2019 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
2782 
September 3, 2019 
Multiplying integers – easy 
143.6 kB 
2919 
September 3, 2019 
Multiplying integers – medium 
173.3 kB 
2874 
September 3, 2019 
Multiplying integers – mediumhard 
173.5 kB 
2624 
September 3, 2019 
Multiplying integers – hard 
565.9 kB 
2368 
September 3, 2019 
Multiplying integers – very hard 
568 kB 
2272 
September 3, 2019 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
2619 
September 3, 2019 
Multiplying decimals – easy 
187 kB 
2826 
September 3, 2019 
Multiplying decimals – medium 
578.8 kB 
2305 
September 3, 2019 
Multiplying decimals – mediumhard 
577 kB 
2062 
September 3, 2019 
Multiplying decimals – hard 
564.9 kB 
2203 
September 3, 2019 
Multiplying decimals – very hard 
567.9 kB 
2092 
September 3, 2019 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
2418 
September 3, 2019 
Multiplying fractions – easy 
186.7 kB 
2693 
September 3, 2019 
Multiplying fractions – medium 
583.8 kB 
2303 
September 3, 2019 
Multiplying fractions – mediumhard 
589 kB 
2049 
September 3, 2019 
Multiplying fractions – hard 
588 kB 
1941 
September 3, 2019 
Multiplying fractions – very hard 
594.9 kB 
2020 
September 3, 2019 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
2084 
September 3, 2019 
Multiplying mixed numbers – easy 
209 kB 
2225 
September 3, 2019 
Multiplying mixed numbers – medium 
594.7 kB 
2072 
September 3, 2019 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1865 
September 3, 2019 
Multiplying mixed numbers – hard 
586.3 kB 
1865 
September 3, 2019 
Multiplying mixed numbers – very hard 
591.3 kB 
1850 
September 3, 2019 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
1929 
September 3, 2019 
Multiplying improper fractions – easy 
174 kB 
1975 
September 3, 2019 
Multiplying improper fractions – medium 
574.7 kB 
1932 
September 3, 2019 
Multiplying improper fractions – mediumhard 
573.9 kB 
1868 
September 3, 2019 
Multiplying improper fractions – hard 
570.7 kB 
1832 
September 3, 2019 
Multiplying improper fractions – very hard 
577.4 kB 
1877 
September 3, 2019 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
3149 
September 3, 2019 
Multiplying positive decimals 
51.8 kB 
2394 
September 3, 2019 
Multiplying positive fractions 
632.1 kB 
2189 
September 3, 2019 
Multiplying positive mixed numbers 
637.8 kB 
2325 
September 3, 2019 
Multiplying positive improper fractions 
594.6 kB 
1912 
September 3, 2019 
Non positive

Multiplying integers 
166.8 kB 
2497 
September 3, 2019 
Multiplying decimals 
246.3 kB 
2249 
September 3, 2019 
Multiplying fractions 
393.1 kB 
2281 
September 3, 2019 
Multiplying mixed numbers 
412.4 kB 
2058 
September 3, 2019 
Multiplying improper fractions 
334.1 kB 
1895 
September 3, 2019 