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 
1993 
October 13, 2012 
Multiplying positive integers – easy 
143 kB 
2054 
October 13, 2012 
Multiplying positive integers – medium 
166.3 kB 
2158 
October 13, 2012 
Multiplying positive integers – mediumhard 
173.1 kB 
1819 
October 13, 2012 
Multiplying positive integers – hard 
561.5 kB 
1407 
October 13, 2012 
Multiplying positive integers – very hard 
571.8 kB 
1569 
October 13, 2012 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
1321 
October 13, 2012 
Multiplying positive decimals – easy 
555.5 kB 
1278 
October 13, 2012 
Multiplying positive decimals – medium 
579.2 kB 
1178 
October 13, 2012 
Multiplying positive decimals – mediumhard 
580.2 kB 
1064 
October 13, 2012 
Multiplying positive decimals – hard 
569.5 kB 
1196 
October 13, 2012 
Multiplying positive decimals – very hard 
567.2 kB 
1082 
October 13, 2012 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
1082 
October 13, 2012 
Multiplying positive fractions – very easy 
172.7 kB 
1582 
October 13, 2012 
Multiplying positive fractions – easy 
188.9 kB 
1310 
October 13, 2012 
Multiplying positive fractions – medium 
577.2 kB 
1171 
October 13, 2012 
Multiplying positive fractions – mediumhard 
591.9 kB 
1079 
October 13, 2012 
Multiplying positive fractions – hard 
575.7 kB 
1075 
October 13, 2012 
Multiplying positive fractions – very hard 
581 kB 
1074 
October 13, 2012 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
1173 
October 13, 2012 
Multiplying positive mixed numbers – easy 
209.8 kB 
1161 
October 13, 2012 
Multiplying positive mixed numbers – medium 
585.6 kB 
1065 
October 13, 2012 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
1045 
October 13, 2012 
Multiplying positive mixed numbers – hard 
589.3 kB 
1040 
October 13, 2012 
Multiplying positive mixed numbers – very hard 
596.6 kB 
1012 
October 13, 2012 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
1057 
October 13, 2012 
Multiplying positive improper fractions – easy 
169.9 kB 
1161 
October 13, 2012 
Multiplying positive improper fractions – medium 
571.6 kB 
1035 
October 13, 2012 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
1047 
October 13, 2012 
Multiplying positive improper fractions – hard 
560.5 kB 
982 
October 13, 2012 
Multiplying positive improper fractions – very hard 
571.8 kB 
1020 
October 13, 2012 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
1565 
October 13, 2012 
Multiplying integers – easy 
143.6 kB 
1441 
October 13, 2012 
Multiplying integers – medium 
173.3 kB 
1445 
October 13, 2012 
Multiplying integers – mediumhard 
173.5 kB 
1368 
October 13, 2012 
Multiplying integers – hard 
565.9 kB 
1217 
October 13, 2012 
Multiplying integers – very hard 
568 kB 
1108 
October 13, 2012 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
1287 
October 13, 2012 
Multiplying decimals – easy 
187 kB 
1501 
October 13, 2012 
Multiplying decimals – medium 
578.8 kB 
1063 
October 13, 2012 
Multiplying decimals – mediumhard 
577 kB 
982 
October 13, 2012 
Multiplying decimals – hard 
564.9 kB 
1046 
October 13, 2012 
Multiplying decimals – very hard 
567.9 kB 
1025 
October 13, 2012 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
1079 
October 13, 2012 
Multiplying fractions – easy 
186.7 kB 
1252 
October 13, 2012 
Multiplying fractions – medium 
583.8 kB 
1045 
October 13, 2012 
Multiplying fractions – mediumhard 
589 kB 
1009 
October 13, 2012 
Multiplying fractions – hard 
588 kB 
978 
October 13, 2012 
Multiplying fractions – very hard 
594.9 kB 
998 
October 13, 2012 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
1003 
October 13, 2012 
Multiplying mixed numbers – easy 
209 kB 
1133 
October 13, 2012 
Multiplying mixed numbers – medium 
594.7 kB 
1033 
October 13, 2012 
Multiplying mixed numbers – mediumhard 
602.2 kB 
925 
October 13, 2012 
Multiplying mixed numbers – hard 
586.3 kB 
957 
October 13, 2012 
Multiplying mixed numbers – very hard 
591.3 kB 
938 
October 13, 2012 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
950 
October 13, 2012 
Multiplying improper fractions – easy 
174 kB 
963 
October 13, 2012 
Multiplying improper fractions – medium 
574.7 kB 
984 
October 13, 2012 
Multiplying improper fractions – mediumhard 
573.9 kB 
906 
October 13, 2012 
Multiplying improper fractions – hard 
570.7 kB 
945 
October 13, 2012 
Multiplying improper fractions – very hard 
577.4 kB 
947 
October 13, 2012 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
1646 
October 14, 2012 
Multiplying positive decimals 
51.8 kB 
1238 
October 14, 2012 
Multiplying positive fractions 
632.1 kB 
1066 
October 14, 2012 
Multiplying positive mixed numbers 
637.8 kB 
1245 
October 14, 2012 
Multiplying positive improper fractions 
594.6 kB 
980 
October 14, 2012 
Non positive

Multiplying integers 
166.8 kB 
1246 
October 14, 2012 
Multiplying decimals 
246.3 kB 
1134 
October 14, 2012 
Multiplying fractions 
393.1 kB 
1103 
October 14, 2012 
Multiplying mixed numbers 
412.4 kB 
1063 
October 14, 2012 
Multiplying improper fractions 
334.1 kB 
1016 
October 14, 2012 
Multiplying knowledge test