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 
2326 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2332 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2567 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2174 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1655 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1869 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1511 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1527 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1368 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1233 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1365 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1245 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1245 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1839 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1545 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1368 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1237 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1242 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1243 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1392 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1400 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1238 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1191 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1197 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1182 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1216 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1319 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1194 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1186 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1116 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1174 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1762 
January 1, 1970 
Multiplying integers – easy 
0 B 
1700 
January 1, 1970 
Multiplying integers – medium 
0 B 
1674 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1563 
January 1, 1970 
Multiplying integers – hard 
0 B 
1396 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1289 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1607 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1738 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1235 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1173 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1230 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1180 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1263 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1476 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1215 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1182 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1125 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1138 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1168 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1326 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1192 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1093 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1103 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1089 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1139 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1169 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1120 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1052 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1084 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1084 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
1992 
January 1, 1970 
Multiplying positive decimals 
0 B 
1415 
January 1, 1970 
Multiplying positive fractions 
0 B 
1254 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1491 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1110 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1454 
January 1, 1970 
Multiplying decimals 
0 B 
1321 
January 1, 1970 
Multiplying fractions 
0 B 
1296 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1221 
January 1, 1970 
Multiplying improper fractions 
0 B 
1161 
January 1, 1970 
Multiplying knowledge test