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 
2474 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2481 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2746 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2314 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1757 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1972 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1609 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1609 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1441 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1303 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1432 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1306 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1306 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1937 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1631 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1453 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1306 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1305 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1304 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1478 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1483 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1306 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1252 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1259 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1245 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1288 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1382 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1261 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1248 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1175 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1245 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1841 
January 1, 1970 
Multiplying integers – easy 
0 B 
1813 
January 1, 1970 
Multiplying integers – medium 
0 B 
1762 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1653 
January 1, 1970 
Multiplying integers – hard 
0 B 
1467 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1359 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1698 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1818 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1321 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1249 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1298 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1241 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1331 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1569 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1291 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1247 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1181 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1190 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1230 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1391 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1260 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1144 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1161 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1149 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1189 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1230 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1181 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1111 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1142 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1136 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
2103 
January 1, 1970 
Multiplying positive decimals 
0 B 
1496 
January 1, 1970 
Multiplying positive fractions 
0 B 
1323 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1559 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1160 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1530 
January 1, 1970 
Multiplying decimals 
0 B 
1391 
January 1, 1970 
Multiplying fractions 
0 B 
1362 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1288 
January 1, 1970 
Multiplying improper fractions 
0 B 
1214 
January 1, 1970 
Multiplying knowledge test