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 
2282 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2301 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2517 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2134 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1626 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1833 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1481 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1497 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1341 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1207 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1344 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1223 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1223 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1819 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1520 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1344 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1220 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1226 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1224 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1365 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1374 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1210 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1172 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1174 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1159 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1198 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1304 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1173 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1167 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1098 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1156 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1738 
January 1, 1970 
Multiplying integers – easy 
0 B 
1668 
January 1, 1970 
Multiplying integers – medium 
0 B 
1644 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1540 
January 1, 1970 
Multiplying integers – hard 
0 B 
1374 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1268 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1573 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1710 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1209 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1152 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1213 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1159 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1246 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1454 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1190 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1158 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1111 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1125 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1147 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1307 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1175 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1072 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1086 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1073 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1126 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1155 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1107 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1037 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1071 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1068 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
1945 
January 1, 1970 
Multiplying positive decimals 
0 B 
1398 
January 1, 1970 
Multiplying positive fractions 
0 B 
1240 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1477 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1095 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1432 
January 1, 1970 
Multiplying decimals 
0 B 
1304 
January 1, 1970 
Multiplying fractions 
0 B 
1276 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1200 
January 1, 1970 
Multiplying improper fractions 
0 B 
1145 
January 1, 1970 
Multiplying knowledge test