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 
2166 
January 1, 1970 
Multiplying positive integers – easy 
0 B 
2179 
January 1, 1970 
Multiplying positive integers – medium 
0 B 
2344 
January 1, 1970 
Multiplying positive integers – mediumhard 
0 B 
1988 
January 1, 1970 
Multiplying positive integers – hard 
0 B 
1551 
January 1, 1970 
Multiplying positive integers – very hard 
0 B 
1721 
January 1, 1970 
Positive decimals

Multiplying positive decimals – very easy 
0 B 
1409 
January 1, 1970 
Multiplying positive decimals – easy 
0 B 
1424 
January 1, 1970 
Multiplying positive decimals – medium 
0 B 
1273 
January 1, 1970 
Multiplying positive decimals – mediumhard 
0 B 
1146 
January 1, 1970 
Multiplying positive decimals – hard 
0 B 
1285 
January 1, 1970 
Multiplying positive decimals – very hard 
0 B 
1163 
January 1, 1970 
Positive fractions

Multiplying positive fractions – very hard 
0 B 
1163 
January 1, 1970 
Multiplying positive fractions – very easy 
0 B 
1706 
January 1, 1970 
Multiplying positive fractions – easy 
0 B 
1428 
January 1, 1970 
Multiplying positive fractions – medium 
0 B 
1271 
January 1, 1970 
Multiplying positive fractions – mediumhard 
0 B 
1162 
January 1, 1970 
Multiplying positive fractions – hard 
0 B 
1169 
January 1, 1970 
Multiplying positive fractions – very hard 
0 B 
1169 
January 1, 1970 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
0 B 
1283 
January 1, 1970 
Multiplying positive mixed numbers – easy 
0 B 
1303 
January 1, 1970 
Multiplying positive mixed numbers – medium 
0 B 
1145 
January 1, 1970 
Multiplying positive mixed numbers – mediumhard 
0 B 
1117 
January 1, 1970 
Multiplying positive mixed numbers – hard 
0 B 
1117 
January 1, 1970 
Multiplying positive mixed numbers – very hard 
0 B 
1103 
January 1, 1970 
Positive improper fractions

Multiplying positive improper fractions – very easy 
0 B 
1132 
January 1, 1970 
Multiplying positive improper fractions – easy 
0 B 
1241 
January 1, 1970 
Multiplying positive improper fractions – medium 
0 B 
1119 
January 1, 1970 
Multiplying positive improper fractions – mediumhard 
0 B 
1118 
January 1, 1970 
Multiplying positive improper fractions – hard 
0 B 
1046 
January 1, 1970 
Multiplying positive improper fractions – very hard 
0 B 
1109 
January 1, 1970 
Non positive integers

Multiplying integers – very easy 
0 B 
1674 
January 1, 1970 
Multiplying integers – easy 
0 B 
1577 
January 1, 1970 
Multiplying integers – medium 
0 B 
1548 
January 1, 1970 
Multiplying integers – mediumhard 
0 B 
1464 
January 1, 1970 
Multiplying integers – hard 
0 B 
1308 
January 1, 1970 
Multiplying integers – very hard 
0 B 
1196 
January 1, 1970 
Non positive decimals

Multiplying decimals – very easy 
0 B 
1431 
January 1, 1970 
Multiplying decimals – easy 
0 B 
1636 
January 1, 1970 
Multiplying decimals – medium 
0 B 
1149 
January 1, 1970 
Multiplying decimals – mediumhard 
0 B 
1081 
January 1, 1970 
Multiplying decimals – hard 
0 B 
1133 
January 1, 1970 
Multiplying decimals – very hard 
0 B 
1105 
January 1, 1970 
Non positive fractions

Multiplying fractions – very easy 
0 B 
1184 
January 1, 1970 
Multiplying fractions – easy 
0 B 
1371 
January 1, 1970 
Multiplying fractions – medium 
0 B 
1133 
January 1, 1970 
Multiplying fractions – mediumhard 
0 B 
1104 
January 1, 1970 
Multiplying fractions – hard 
0 B 
1060 
January 1, 1970 
Multiplying fractions – very hard 
0 B 
1072 
January 1, 1970 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
0 B 
1088 
January 1, 1970 
Multiplying mixed numbers – easy 
0 B 
1243 
January 1, 1970 
Multiplying mixed numbers – medium 
0 B 
1125 
January 1, 1970 
Multiplying mixed numbers – mediumhard 
0 B 
1022 
January 1, 1970 
Multiplying mixed numbers – hard 
0 B 
1039 
January 1, 1970 
Multiplying mixed numbers – very hard 
0 B 
1015 
January 1, 1970 
Non positive improper fractions

Multiplying improper fractions – very easy 
0 B 
1040 
January 1, 1970 
Multiplying improper fractions – easy 
0 B 
1069 
January 1, 1970 
Multiplying improper fractions – medium 
0 B 
1053 
January 1, 1970 
Multiplying improper fractions – mediumhard 
0 B 
985 
January 1, 1970 
Multiplying improper fractions – hard 
0 B 
1026 
January 1, 1970 
Multiplying improper fractions – very hard 
0 B 
1020 
January 1, 1970 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
0 B 
1820 
January 1, 1970 
Multiplying positive decimals 
0 B 
1334 
January 1, 1970 
Multiplying positive fractions 
0 B 
1178 
January 1, 1970 
Multiplying positive mixed numbers 
0 B 
1410 
January 1, 1970 
Multiplying positive improper fractions 
0 B 
1053 
January 1, 1970 
Non positive

Multiplying integers 
0 B 
1344 
January 1, 1970 
Multiplying decimals 
0 B 
1228 
January 1, 1970 
Multiplying fractions 
0 B 
1209 
January 1, 1970 
Multiplying mixed numbers 
0 B 
1144 
January 1, 1970 
Multiplying improper fractions 
0 B 
1098 
January 1, 1970 
Multiplying knowledge test