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 
78 kB 
3873 
September 3, 2019 
Multiplying positive integers – easy 
143 kB 
3872 
September 3, 2019 
Multiplying positive integers – medium 
166.3 kB 
4322 
September 3, 2019 
Multiplying positive integers – mediumhard 
173.1 kB 
3517 
September 3, 2019 
Multiplying positive integers – hard 
561.5 kB 
2835 
September 3, 2019 
Multiplying positive integers – very hard 
571.8 kB 
3121 
September 3, 2019 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
2699 
September 3, 2019 
Multiplying positive decimals – easy 
555.5 kB 
2671 
September 3, 2019 
Multiplying positive decimals – medium 
579.2 kB 
2498 
September 3, 2019 
Multiplying positive decimals – mediumhard 
580.2 kB 
2290 
September 3, 2019 
Multiplying positive decimals – hard 
569.5 kB 
2494 
September 3, 2019 
Multiplying positive decimals – very hard 
567.2 kB 
2285 
September 3, 2019 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
2285 
September 3, 2019 
Multiplying positive fractions – very easy 
172.7 kB 
3354 
September 3, 2019 
Multiplying positive fractions – easy 
188.9 kB 
3173 
September 3, 2019 
Multiplying positive fractions – medium 
577.2 kB 
2542 
September 3, 2019 
Multiplying positive fractions – mediumhard 
591.9 kB 
2264 
September 3, 2019 
Multiplying positive fractions – hard 
575.7 kB 
2306 
September 3, 2019 
Multiplying positive fractions – very hard 
581 kB 
2243 
September 3, 2019 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
2502 
September 3, 2019 
Multiplying positive mixed numbers – easy 
209.8 kB 
2470 
September 3, 2019 
Multiplying positive mixed numbers – medium 
585.6 kB 
2320 
September 3, 2019 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
2189 
September 3, 2019 
Multiplying positive mixed numbers – hard 
589.3 kB 
2244 
September 3, 2019 
Multiplying positive mixed numbers – very hard 
596.6 kB 
2154 
September 3, 2019 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
2223 
September 3, 2019 
Multiplying positive improper fractions – easy 
169.9 kB 
2343 
September 3, 2019 
Multiplying positive improper fractions – medium 
571.6 kB 
2246 
September 3, 2019 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
2086 
September 3, 2019 
Multiplying positive improper fractions – hard 
560.5 kB 
2079 
September 3, 2019 
Multiplying positive improper fractions – very hard 
571.8 kB 
2132 
September 3, 2019 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
2886 
September 3, 2019 
Multiplying integers – easy 
143.6 kB 
3037 
September 3, 2019 
Multiplying integers – medium 
173.3 kB 
3013 
September 3, 2019 
Multiplying integers – mediumhard 
173.5 kB 
2767 
September 3, 2019 
Multiplying integers – hard 
565.9 kB 
2466 
September 3, 2019 
Multiplying integers – very hard 
568 kB 
2365 
September 3, 2019 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
2720 
September 3, 2019 
Multiplying decimals – easy 
187 kB 
2955 
September 3, 2019 
Multiplying decimals – medium 
578.8 kB 
2407 
September 3, 2019 
Multiplying decimals – mediumhard 
577 kB 
2148 
September 3, 2019 
Multiplying decimals – hard 
564.9 kB 
2295 
September 3, 2019 
Multiplying decimals – very hard 
567.9 kB 
2198 
September 3, 2019 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
2530 
September 3, 2019 
Multiplying fractions – easy 
186.7 kB 
2804 
September 3, 2019 
Multiplying fractions – medium 
583.8 kB 
2405 
September 3, 2019 
Multiplying fractions – mediumhard 
589 kB 
2124 
September 3, 2019 
Multiplying fractions – hard 
588 kB 
2030 
September 3, 2019 
Multiplying fractions – very hard 
594.9 kB 
2105 
September 3, 2019 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
2176 
September 3, 2019 
Multiplying mixed numbers – easy 
209 kB 
2332 
September 3, 2019 
Multiplying mixed numbers – medium 
594.7 kB 
2265 
September 3, 2019 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1946 
September 3, 2019 
Multiplying mixed numbers – hard 
586.3 kB 
1952 
September 3, 2019 
Multiplying mixed numbers – very hard 
591.3 kB 
1938 
September 3, 2019 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
2020 
September 3, 2019 
Multiplying improper fractions – easy 
174 kB 
2059 
September 3, 2019 
Multiplying improper fractions – medium 
574.7 kB 
2040 
September 3, 2019 
Multiplying improper fractions – mediumhard 
573.9 kB 
1962 
September 3, 2019 
Multiplying improper fractions – hard 
570.7 kB 
1923 
September 3, 2019 
Multiplying improper fractions – very hard 
577.4 kB 
1971 
September 3, 2019 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
3256 
September 3, 2019 
Multiplying positive decimals 
51.8 kB 
2496 
September 3, 2019 
Multiplying positive fractions 
632.1 kB 
2285 
September 3, 2019 
Multiplying positive mixed numbers 
637.8 kB 
2406 
September 3, 2019 
Multiplying positive improper fractions 
594.6 kB 
1997 
September 3, 2019 
Non positive

Multiplying integers 
166.8 kB 
2600 
September 3, 2019 
Multiplying decimals 
246.3 kB 
2349 
September 3, 2019 
Multiplying fractions 
393.1 kB 
2377 
September 3, 2019 
Multiplying mixed numbers 
412.4 kB 
2155 
September 3, 2019 
Multiplying improper fractions 
334.1 kB 
1978 
September 3, 2019 