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 
2520 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2525 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2792 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2350 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1791 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
2004 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1643 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1639 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1474 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1335 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1460 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1328 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1328 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1965 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1656 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1487 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1337 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1335 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1328 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1504 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1510 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1334 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1281 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1279 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1268 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1311 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1411 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1289 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1275 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1200 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1268 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1871 
January 1, 1970 
Multiplying integers – easy 
0 B 
1842 
January 1, 1970 
Multiplying integers – medium 
0 B 
1793 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1684 
January 1, 1970 
Multiplying integers – hard 
0 B 
1495 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1390 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1723 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1842 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1350 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1276 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1322 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1265 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1352 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1592 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1313 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1273 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1205 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1214 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1255 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1415 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1282 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1166 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1183 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1170 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1215 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1254 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1208 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1140 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1161 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1161 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
2133 
January 1, 1970 
Multiplying positive decimals 
0 B 
1519 
January 1, 1970 
Multiplying positive fractions 
0 B 
1347 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1585 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1182 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1555 
January 1, 1970 
Multiplying decimals 
0 B 
1416 
January 1, 1970 
Multiplying fractions 
0 B 
1387 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1313 
January 1, 1970 
Multiplying improper fractions 
0 B 
1238 
January 1, 1970 
Multiplying knowledge test