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 
3591 
September 3, 2019 
Multiplying positive integers – easy 
143 kB 
3571 
September 3, 2019 
Multiplying positive integers – medium 
166.3 kB 
3995 
September 3, 2019 
Multiplying positive integers – mediumhard 
173.1 kB 
3253 
September 3, 2019 
Multiplying positive integers – hard 
561.5 kB 
2605 
September 3, 2019 
Multiplying positive integers – very hard 
571.8 kB 
2877 
September 3, 2019 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
2484 
September 3, 2019 
Multiplying positive decimals – easy 
555.5 kB 
2434 
September 3, 2019 
Multiplying positive decimals – medium 
579.2 kB 
2292 
September 3, 2019 
Multiplying positive decimals – mediumhard 
580.2 kB 
2072 
September 3, 2019 
Multiplying positive decimals – hard 
569.5 kB 
2248 
September 3, 2019 
Multiplying positive decimals – very hard 
567.2 kB 
2044 
September 3, 2019 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
2044 
September 3, 2019 
Multiplying positive fractions – very easy 
172.7 kB 
3112 
September 3, 2019 
Multiplying positive fractions – easy 
188.9 kB 
2896 
September 3, 2019 
Multiplying positive fractions – medium 
577.2 kB 
2320 
September 3, 2019 
Multiplying positive fractions – mediumhard 
591.9 kB 
2075 
September 3, 2019 
Multiplying positive fractions – hard 
575.7 kB 
2088 
September 3, 2019 
Multiplying positive fractions – very hard 
581 kB 
2038 
September 3, 2019 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
2288 
September 3, 2019 
Multiplying positive mixed numbers – easy 
209.8 kB 
2259 
September 3, 2019 
Multiplying positive mixed numbers – medium 
585.6 kB 
2118 
September 3, 2019 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
1994 
September 3, 2019 
Multiplying positive mixed numbers – hard 
589.3 kB 
2033 
September 3, 2019 
Multiplying positive mixed numbers – very hard 
596.6 kB 
1948 
September 3, 2019 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
2026 
September 3, 2019 
Multiplying positive improper fractions – easy 
169.9 kB 
2136 
September 3, 2019 
Multiplying positive improper fractions – medium 
571.6 kB 
2041 
September 3, 2019 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
1895 
September 3, 2019 
Multiplying positive improper fractions – hard 
560.5 kB 
1872 
September 3, 2019 
Multiplying positive improper fractions – very hard 
571.8 kB 
1933 
September 3, 2019 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
2664 
September 3, 2019 
Multiplying integers – easy 
143.6 kB 
2780 
September 3, 2019 
Multiplying integers – medium 
173.3 kB 
2740 
September 3, 2019 
Multiplying integers – mediumhard 
173.5 kB 
2512 
September 3, 2019 
Multiplying integers – hard 
565.9 kB 
2258 
September 3, 2019 
Multiplying integers – very hard 
568 kB 
2164 
September 3, 2019 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
2505 
September 3, 2019 
Multiplying decimals – easy 
187 kB 
2679 
September 3, 2019 
Multiplying decimals – medium 
578.8 kB 
2178 
September 3, 2019 
Multiplying decimals – mediumhard 
577 kB 
1958 
September 3, 2019 
Multiplying decimals – hard 
564.9 kB 
2094 
September 3, 2019 
Multiplying decimals – very hard 
567.9 kB 
1971 
September 3, 2019 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
2276 
September 3, 2019 
Multiplying fractions – easy 
186.7 kB 
2550 
September 3, 2019 
Multiplying fractions – medium 
583.8 kB 
2175 
September 3, 2019 
Multiplying fractions – mediumhard 
589 kB 
1938 
September 3, 2019 
Multiplying fractions – hard 
588 kB 
1837 
September 3, 2019 
Multiplying fractions – very hard 
594.9 kB 
1922 
September 3, 2019 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
1968 
September 3, 2019 
Multiplying mixed numbers – easy 
209 kB 
2101 
September 3, 2019 
Multiplying mixed numbers – medium 
594.7 kB 
1953 
September 3, 2019 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1774 
September 3, 2019 
Multiplying mixed numbers – hard 
586.3 kB 
1771 
September 3, 2019 
Multiplying mixed numbers – very hard 
591.3 kB 
1761 
September 3, 2019 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
1832 
September 3, 2019 
Multiplying improper fractions – easy 
174 kB 
1873 
September 3, 2019 
Multiplying improper fractions – medium 
574.7 kB 
1830 
September 3, 2019 
Multiplying improper fractions – mediumhard 
573.9 kB 
1772 
September 3, 2019 
Multiplying improper fractions – hard 
570.7 kB 
1736 
September 3, 2019 
Multiplying improper fractions – very hard 
577.4 kB 
1777 
September 3, 2019 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
2992 
September 3, 2019 
Multiplying positive decimals 
51.8 kB 
2252 
September 3, 2019 
Multiplying positive fractions 
632.1 kB 
2054 
September 3, 2019 
Multiplying positive mixed numbers 
637.8 kB 
2225 
September 3, 2019 
Multiplying positive improper fractions 
594.6 kB 
1797 
September 3, 2019 
Non positive

Multiplying integers 
166.8 kB 
2352 
September 3, 2019 
Multiplying decimals 
246.3 kB 
2103 
September 3, 2019 
Multiplying fractions 
393.1 kB 
2159 
September 3, 2019 
Multiplying mixed numbers 
412.4 kB 
1950 
September 3, 2019 
Multiplying improper fractions 
334.1 kB 
1803 
September 3, 2019 