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 
2255 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2262 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2460 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2077 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1602 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1790 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1459 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1475 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1323 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1185 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1327 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1204 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1204 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1791 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1495 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1321 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1202 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1206 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1211 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1344 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1355 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1188 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1154 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1157 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1140 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1179 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1284 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1160 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1154 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1085 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1138 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1719 
January 1, 1970 
Multiplying integers – easy 
0 B 
1640 
January 1, 1970 
Multiplying integers – medium 
0 B 
1615 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1511 
January 1, 1970 
Multiplying integers – hard 
0 B 
1355 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1247 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1523 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1686 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1190 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1124 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1182 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1141 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1221 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1423 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1168 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1144 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1093 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1107 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1130 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1287 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1160 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1054 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1069 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1055 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1103 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1126 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1092 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1020 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1056 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1050 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
1895 
January 1, 1970 
Multiplying positive decimals 
0 B 
1383 
January 1, 1970 
Multiplying positive fractions 
0 B 
1222 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1456 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1082 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1406 
January 1, 1970 
Multiplying decimals 
0 B 
1284 
January 1, 1970 
Multiplying fractions 
0 B 
1260 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1181 
January 1, 1970 
Multiplying improper fractions 
0 B 
1133 
January 1, 1970 
Multiplying knowledge test