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 
2870 
September 3, 2019 
Multiplying positive integers – easy 
143 kB 
2871 
September 3, 2019 
Multiplying positive integers – medium 
166.3 kB 
3165 
September 3, 2019 
Multiplying positive integers – mediumhard 
173.1 kB 
2649 
September 3, 2019 
Multiplying positive integers – hard 
561.5 kB 
2053 
September 3, 2019 
Multiplying positive integers – very hard 
571.8 kB 
2265 
September 3, 2019 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
1900 
September 3, 2019 
Multiplying positive decimals – easy 
555.5 kB 
1901 
September 3, 2019 
Multiplying positive decimals – medium 
579.2 kB 
1723 
September 3, 2019 
Multiplying positive decimals – mediumhard 
580.2 kB 
1554 
September 3, 2019 
Multiplying positive decimals – hard 
569.5 kB 
1707 
September 3, 2019 
Multiplying positive decimals – very hard 
567.2 kB 
1551 
September 3, 2019 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
1551 
September 3, 2019 
Multiplying positive fractions – very easy 
172.7 kB 
2324 
September 3, 2019 
Multiplying positive fractions – easy 
188.9 kB 
2002 
September 3, 2019 
Multiplying positive fractions – medium 
577.2 kB 
1736 
September 3, 2019 
Multiplying positive fractions – mediumhard 
591.9 kB 
1535 
September 3, 2019 
Multiplying positive fractions – hard 
575.7 kB 
1547 
September 3, 2019 
Multiplying positive fractions – very hard 
581 kB 
1534 
September 3, 2019 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
1730 
September 3, 2019 
Multiplying positive mixed numbers – easy 
209.8 kB 
1737 
September 3, 2019 
Multiplying positive mixed numbers – medium 
585.6 kB 
1566 
September 3, 2019 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
1491 
September 3, 2019 
Multiplying positive mixed numbers – hard 
589.3 kB 
1491 
September 3, 2019 
Multiplying positive mixed numbers – very hard 
596.6 kB 
1463 
September 3, 2019 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
1518 
September 3, 2019 
Multiplying positive improper fractions – easy 
169.9 kB 
1619 
September 3, 2019 
Multiplying positive improper fractions – medium 
571.6 kB 
1499 
September 3, 2019 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
1463 
September 3, 2019 
Multiplying positive improper fractions – hard 
560.5 kB 
1400 
September 3, 2019 
Multiplying positive improper fractions – very hard 
571.8 kB 
1465 
September 3, 2019 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
2082 
September 3, 2019 
Multiplying integers – easy 
143.6 kB 
2113 
September 3, 2019 
Multiplying integers – medium 
173.3 kB 
2063 
September 3, 2019 
Multiplying integers – mediumhard 
173.5 kB 
1931 
September 3, 2019 
Multiplying integers – hard 
565.9 kB 
1721 
September 3, 2019 
Multiplying integers – very hard 
568 kB 
1620 
September 3, 2019 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
1957 
September 3, 2019 
Multiplying decimals – easy 
187 kB 
2079 
September 3, 2019 
Multiplying decimals – medium 
578.8 kB 
1573 
September 3, 2019 
Multiplying decimals – mediumhard 
577 kB 
1494 
September 3, 2019 
Multiplying decimals – hard 
564.9 kB 
1567 
September 3, 2019 
Multiplying decimals – very hard 
567.9 kB 
1482 
September 3, 2019 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
1571 
September 3, 2019 
Multiplying fractions – easy 
186.7 kB 
1846 
September 3, 2019 
Multiplying fractions – medium 
583.8 kB 
1571 
September 3, 2019 
Multiplying fractions – mediumhard 
589 kB 
1488 
September 3, 2019 
Multiplying fractions – hard 
588 kB 
1398 
September 3, 2019 
Multiplying fractions – very hard 
594.9 kB 
1418 
September 3, 2019 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
1448 
September 3, 2019 
Multiplying mixed numbers – easy 
209 kB 
1617 
September 3, 2019 
Multiplying mixed numbers – medium 
594.7 kB 
1489 
September 3, 2019 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1338 
September 3, 2019 
Multiplying mixed numbers – hard 
586.3 kB 
1361 
September 3, 2019 
Multiplying mixed numbers – very hard 
591.3 kB 
1344 
September 3, 2019 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
1393 
September 3, 2019 
Multiplying improper fractions – easy 
174 kB 
1437 
September 3, 2019 
Multiplying improper fractions – medium 
574.7 kB 
1397 
September 3, 2019 
Multiplying improper fractions – mediumhard 
573.9 kB 
1316 
September 3, 2019 
Multiplying improper fractions – hard 
570.7 kB 
1337 
September 3, 2019 
Multiplying improper fractions – very hard 
577.4 kB 
1330 
September 3, 2019 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
2402 
September 3, 2019 
Multiplying positive decimals 
51.8 kB 
1736 
September 3, 2019 
Multiplying positive fractions 
632.1 kB 
1544 
September 3, 2019 
Multiplying positive mixed numbers 
637.8 kB 
1763 
September 3, 2019 
Multiplying positive improper fractions 
594.6 kB 
1364 
September 3, 2019 
Non positive

Multiplying integers 
166.8 kB 
1790 
September 3, 2019 
Multiplying decimals 
246.3 kB 
1620 
September 3, 2019 
Multiplying fractions 
393.1 kB 
1613 
September 3, 2019 
Multiplying mixed numbers 
412.4 kB 
1514 
September 3, 2019 
Multiplying improper fractions 
334.1 kB 
1421 
September 3, 2019 