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 
2571 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2573 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2842 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2389 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1829 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
2040 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1680 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1680 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1506 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1369 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1503 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1357 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1357 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1998 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1681 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1522 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1357 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1359 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1347 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1530 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1540 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1371 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1307 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1300 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1290 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1338 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1432 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1314 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1295 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1225 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1289 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1892 
January 1, 1970 
Multiplying integers – easy 
0 B 
1879 
January 1, 1970 
Multiplying integers – medium 
0 B 
1820 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1721 
January 1, 1970 
Multiplying integers – hard 
0 B 
1522 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1419 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1756 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1875 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1385 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1309 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1357 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1294 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1377 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1628 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1347 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1302 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1229 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1235 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1275 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1444 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1311 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1187 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1198 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1187 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1233 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1267 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1226 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1156 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1178 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1175 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
2155 
January 1, 1970 
Multiplying positive decimals 
0 B 
1550 
January 1, 1970 
Multiplying positive fractions 
0 B 
1365 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1604 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1203 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1578 
January 1, 1970 
Multiplying decimals 
0 B 
1437 
January 1, 1970 
Multiplying fractions 
0 B 
1406 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1333 
January 1, 1970 
Multiplying improper fractions 
0 B 
1254 
January 1, 1970 
Multiplying knowledge test