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 
2398 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2394 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2654 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2235 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1702 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1911 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1550 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1559 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1397 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1264 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1392 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1271 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1271 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1886 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1573 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1401 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1265 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1271 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1270 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1434 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1434 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1261 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1212 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1223 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1208 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1243 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1345 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1218 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1212 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1137 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1200 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1800 
January 1, 1970 
Multiplying integers – easy 
0 B 
1753 
January 1, 1970 
Multiplying integers – medium 
0 B 
1718 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1604 
January 1, 1970 
Multiplying integers – hard 
0 B 
1427 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1316 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1646 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1773 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1275 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1206 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1258 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1206 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1293 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1520 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1253 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1209 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1149 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1160 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1198 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1360 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1225 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1116 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1129 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1117 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1163 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1198 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1147 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1074 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1111 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1107 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
2044 
January 1, 1970 
Multiplying positive decimals 
0 B 
1449 
January 1, 1970 
Multiplying positive fractions 
0 B 
1286 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1524 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1131 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1492 
January 1, 1970 
Multiplying decimals 
0 B 
1353 
January 1, 1970 
Multiplying fractions 
0 B 
1327 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1252 
January 1, 1970 
Multiplying improper fractions 
0 B 
1184 
January 1, 1970 
Multiplying knowledge test