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 
0 B 
2138 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2153 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2306 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
1959 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1534 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1692 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1397 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1411 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1258 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1133 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1273 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1154 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1154 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1690 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1408 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1258 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1150 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1150 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1156 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1266 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1291 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1135 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1106 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1105 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1087 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1123 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1231 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1106 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1110 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1035 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1088 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1652 
January 1, 1970 
Multiplying integers – easy 
0 B 
1556 
January 1, 1970 
Multiplying integers – medium 
0 B 
1529 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1447 
January 1, 1970 
Multiplying integers – hard 
0 B 
1300 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1180 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1405 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1620 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1130 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1066 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1120 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1093 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1170 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1352 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1122 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1089 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1049 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1060 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1073 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1225 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1113 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1008 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1020 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1000 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1023 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1041 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1045 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
975 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1013 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1007 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
1785 
January 1, 1970 
Multiplying positive decimals 
0 B 
1320 
January 1, 1970 
Multiplying positive fractions 
0 B 
1157 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1396 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1044 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1326 
January 1, 1970 
Multiplying decimals 
0 B 
1211 
January 1, 1970 
Multiplying fractions 
0 B 
1183 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1130 
January 1, 1970 
Multiplying improper fractions 
0 B 
1084 
January 1, 1970 
Multiplying knowledge test