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 
2164 
October 13, 2012 
Multiplying positive integers – easy 
143 kB 
2220 
October 13, 2012 
Multiplying positive integers – medium 
166.3 kB 
2366 
October 13, 2012 
Multiplying positive integers – mediumhard 
173.1 kB 
2010 
October 13, 2012 
Multiplying positive integers – hard 
561.5 kB 
1554 
October 13, 2012 
Multiplying positive integers – very hard 
571.8 kB 
1713 
October 13, 2012 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
1467 
October 13, 2012 
Multiplying positive decimals – easy 
555.5 kB 
1407 
October 13, 2012 
Multiplying positive decimals – medium 
579.2 kB 
1302 
October 13, 2012 
Multiplying positive decimals – mediumhard 
580.2 kB 
1189 
October 13, 2012 
Multiplying positive decimals – hard 
569.5 kB 
1332 
October 13, 2012 
Multiplying positive decimals – very hard 
567.2 kB 
1208 
October 13, 2012 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
1208 
October 13, 2012 
Multiplying positive fractions – very easy 
172.7 kB 
1710 
October 13, 2012 
Multiplying positive fractions – easy 
188.9 kB 
1447 
October 13, 2012 
Multiplying positive fractions – medium 
577.2 kB 
1289 
October 13, 2012 
Multiplying positive fractions – mediumhard 
591.9 kB 
1193 
October 13, 2012 
Multiplying positive fractions – hard 
575.7 kB 
1197 
October 13, 2012 
Multiplying positive fractions – very hard 
581 kB 
1184 
October 13, 2012 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
1295 
October 13, 2012 
Multiplying positive mixed numbers – easy 
209.8 kB 
1246 
October 13, 2012 
Multiplying positive mixed numbers – medium 
585.6 kB 
1184 
October 13, 2012 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
1156 
October 13, 2012 
Multiplying positive mixed numbers – hard 
589.3 kB 
1177 
October 13, 2012 
Multiplying positive mixed numbers – very hard 
596.6 kB 
1117 
October 13, 2012 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
1179 
October 13, 2012 
Multiplying positive improper fractions – easy 
169.9 kB 
1284 
October 13, 2012 
Multiplying positive improper fractions – medium 
571.6 kB 
1147 
October 13, 2012 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
1172 
October 13, 2012 
Multiplying positive improper fractions – hard 
560.5 kB 
1091 
October 13, 2012 
Multiplying positive improper fractions – very hard 
571.8 kB 
1120 
October 13, 2012 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
1701 
October 13, 2012 
Multiplying integers – easy 
143.6 kB 
1591 
October 13, 2012 
Multiplying integers – medium 
173.3 kB 
1591 
October 13, 2012 
Multiplying integers – mediumhard 
173.5 kB 
1489 
October 13, 2012 
Multiplying integers – hard 
565.9 kB 
1353 
October 13, 2012 
Multiplying integers – very hard 
568 kB 
1239 
October 13, 2012 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
1438 
October 13, 2012 
Multiplying decimals – easy 
187 kB 
1631 
October 13, 2012 
Multiplying decimals – medium 
578.8 kB 
1172 
October 13, 2012 
Multiplying decimals – mediumhard 
577 kB 
1099 
October 13, 2012 
Multiplying decimals – hard 
564.9 kB 
1159 
October 13, 2012 
Multiplying decimals – very hard 
567.9 kB 
1131 
October 13, 2012 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
1210 
October 13, 2012 
Multiplying fractions – easy 
186.7 kB 
1410 
October 13, 2012 
Multiplying fractions – medium 
583.8 kB 
1175 
October 13, 2012 
Multiplying fractions – mediumhard 
589 kB 
1119 
October 13, 2012 
Multiplying fractions – hard 
588 kB 
1088 
October 13, 2012 
Multiplying fractions – very hard 
594.9 kB 
1102 
October 13, 2012 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
1128 
October 13, 2012 
Multiplying mixed numbers – easy 
209 kB 
1257 
October 13, 2012 
Multiplying mixed numbers – medium 
594.7 kB 
1144 
October 13, 2012 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1014 
October 13, 2012 
Multiplying mixed numbers – hard 
586.3 kB 
1084 
October 13, 2012 
Multiplying mixed numbers – very hard 
591.3 kB 
1037 
October 13, 2012 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
1060 
October 13, 2012 
Multiplying improper fractions – easy 
174 kB 
1073 
October 13, 2012 
Multiplying improper fractions – medium 
574.7 kB 
1106 
October 13, 2012 
Multiplying improper fractions – mediumhard 
573.9 kB 
1014 
October 13, 2012 
Multiplying improper fractions – hard 
570.7 kB 
1052 
October 13, 2012 
Multiplying improper fractions – very hard 
577.4 kB 
1047 
October 13, 2012 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
1824 
October 14, 2012 
Multiplying positive decimals 
51.8 kB 
1352 
October 14, 2012 
Multiplying positive fractions 
632.1 kB 
1195 
October 14, 2012 
Multiplying positive mixed numbers 
637.8 kB 
1314 
October 14, 2012 
Multiplying positive improper fractions 
594.6 kB 
1099 
October 14, 2012 
Non positive

Multiplying integers 
166.8 kB 
1391 
October 14, 2012 
Multiplying decimals 
246.3 kB 
1264 
October 14, 2012 
Multiplying fractions 
393.1 kB 
1224 
October 14, 2012 
Multiplying mixed numbers 
412.4 kB 
1182 
October 14, 2012 
Multiplying improper fractions 
334.1 kB 
1128 
October 14, 2012 
Multiplying knowledge test