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 
1629 
October 13, 2012 
Multiplying positive integers – easy 
143 kB 
1615 
October 13, 2012 
Multiplying positive integers – medium 
166.3 kB 
1637 
October 13, 2012 
Multiplying positive integers – mediumhard 
173.1 kB 
1522 
October 13, 2012 
Multiplying positive integers – hard 
561.5 kB 
1107 
October 13, 2012 
Multiplying positive integers – very hard 
571.8 kB 
1194 
October 13, 2012 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
1057 
October 13, 2012 
Multiplying positive decimals – easy 
555.5 kB 
1032 
October 13, 2012 
Multiplying positive decimals – medium 
579.2 kB 
997 
October 13, 2012 
Multiplying positive decimals – mediumhard 
580.2 kB 
895 
October 13, 2012 
Multiplying positive decimals – hard 
569.5 kB 
936 
October 13, 2012 
Multiplying positive decimals – very hard 
567.2 kB 
916 
October 13, 2012 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
916 
October 13, 2012 
Multiplying positive fractions – very easy 
172.7 kB 
1316 
October 13, 2012 
Multiplying positive fractions – easy 
188.9 kB 
1028 
October 13, 2012 
Multiplying positive fractions – medium 
577.2 kB 
963 
October 13, 2012 
Multiplying positive fractions – mediumhard 
591.9 kB 
893 
October 13, 2012 
Multiplying positive fractions – hard 
575.7 kB 
886 
October 13, 2012 
Multiplying positive fractions – very hard 
581 kB 
916 
October 13, 2012 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
896 
October 13, 2012 
Multiplying positive mixed numbers – easy 
209.8 kB 
924 
October 13, 2012 
Multiplying positive mixed numbers – medium 
585.6 kB 
890 
October 13, 2012 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
881 
October 13, 2012 
Multiplying positive mixed numbers – hard 
589.3 kB 
829 
October 13, 2012 
Multiplying positive mixed numbers – very hard 
596.6 kB 
870 
October 13, 2012 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
888 
October 13, 2012 
Multiplying positive improper fractions – easy 
169.9 kB 
920 
October 13, 2012 
Multiplying positive improper fractions – medium 
571.6 kB 
862 
October 13, 2012 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
833 
October 13, 2012 
Multiplying positive improper fractions – hard 
560.5 kB 
840 
October 13, 2012 
Multiplying positive improper fractions – very hard 
571.8 kB 
845 
October 13, 2012 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
1275 
October 13, 2012 
Multiplying integers – easy 
143.6 kB 
1139 
October 13, 2012 
Multiplying integers – medium 
173.3 kB 
1165 
October 13, 2012 
Multiplying integers – mediumhard 
173.5 kB 
1155 
October 13, 2012 
Multiplying integers – hard 
565.9 kB 
958 
October 13, 2012 
Multiplying integers – very hard 
568 kB 
895 
October 13, 2012 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
1095 
October 13, 2012 
Multiplying decimals – easy 
187 kB 
1223 
October 13, 2012 
Multiplying decimals – medium 
578.8 kB 
902 
October 13, 2012 
Multiplying decimals – mediumhard 
577 kB 
823 
October 13, 2012 
Multiplying decimals – hard 
564.9 kB 
872 
October 13, 2012 
Multiplying decimals – very hard 
567.9 kB 
859 
October 13, 2012 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
858 
October 13, 2012 
Multiplying fractions – easy 
186.7 kB 
985 
October 13, 2012 
Multiplying fractions – medium 
583.8 kB 
825 
October 13, 2012 
Multiplying fractions – mediumhard 
589 kB 
842 
October 13, 2012 
Multiplying fractions – hard 
588 kB 
804 
October 13, 2012 
Multiplying fractions – very hard 
594.9 kB 
846 
October 13, 2012 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
838 
October 13, 2012 
Multiplying mixed numbers – easy 
209 kB 
942 
October 13, 2012 
Multiplying mixed numbers – medium 
594.7 kB 
862 
October 13, 2012 
Multiplying mixed numbers – mediumhard 
602.2 kB 
785 
October 13, 2012 
Multiplying mixed numbers – hard 
586.3 kB 
793 
October 13, 2012 
Multiplying mixed numbers – very hard 
591.3 kB 
797 
October 13, 2012 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
773 
October 13, 2012 
Multiplying improper fractions – easy 
174 kB 
805 
October 13, 2012 
Multiplying improper fractions – medium 
574.7 kB 
796 
October 13, 2012 
Multiplying improper fractions – mediumhard 
573.9 kB 
733 
October 13, 2012 
Multiplying improper fractions – hard 
570.7 kB 
796 
October 13, 2012 
Multiplying improper fractions – very hard 
577.4 kB 
780 
October 13, 2012 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
1239 
October 14, 2012 
Multiplying positive decimals 
51.8 kB 
1041 
October 14, 2012 
Multiplying positive fractions 
632.1 kB 
835 
October 14, 2012 
Multiplying positive mixed numbers 
637.8 kB 
921 
October 14, 2012 
Multiplying positive improper fractions 
594.6 kB 
775 
October 14, 2012 
Non positive

Multiplying integers 
166.8 kB 
975 
October 14, 2012 
Multiplying decimals 
246.3 kB 
916 
October 14, 2012 
Multiplying fractions 
393.1 kB 
854 
October 14, 2012 
Multiplying mixed numbers 
412.4 kB 
828 
October 14, 2012 
Multiplying improper fractions 
334.1 kB 
847 
October 14, 2012 
Multiplying knowledge test