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 
2214 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2214 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2407 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
2023 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1582 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1754 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1431 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1453 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1302 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1165 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1307 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1183 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1183 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1755 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1470 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1300 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1185 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1187 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1192 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1316 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1332 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1167 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1135 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1138 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1122 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1157 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1263 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1142 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1134 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1066 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1123 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1700 
January 1, 1970 
Multiplying integers – easy 
0 B 
1609 
January 1, 1970 
Multiplying integers – medium 
0 B 
1582 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1489 
January 1, 1970 
Multiplying integers – hard 
0 B 
1338 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1227 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1479 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1666 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1172 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1105 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1148 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1124 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1202 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1399 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1153 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1127 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1077 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1090 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1117 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1269 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1146 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1039 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1056 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1034 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1075 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1103 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1076 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
1007 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1039 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1035 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
1853 
January 1, 1970 
Multiplying positive decimals 
0 B 
1362 
January 1, 1970 
Multiplying positive fractions 
0 B 
1202 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1435 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1068 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1376 
January 1, 1970 
Multiplying decimals 
0 B 
1253 
January 1, 1970 
Multiplying fractions 
0 B 
1237 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1163 
January 1, 1970 
Multiplying improper fractions 
0 B 
1118 
January 1, 1970 
Multiplying knowledge test