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 
2603 
September 3, 2019 
Multiplying positive integers – easy 
143 kB 
2604 
September 3, 2019 
Multiplying positive integers – medium 
166.3 kB 
2881 
September 3, 2019 
Multiplying positive integers – mediumhard 
173.1 kB 
2430 
September 3, 2019 
Multiplying positive integers – hard 
561.5 kB 
1856 
September 3, 2019 
Multiplying positive integers – very hard 
571.8 kB 
2064 
September 3, 2019 
Positive decimals

Multiplying positive decimals – very easy 
554.5 kB 
1703 
September 3, 2019 
Multiplying positive decimals – easy 
555.5 kB 
1703 
September 3, 2019 
Multiplying positive decimals – medium 
579.2 kB 
1535 
September 3, 2019 
Multiplying positive decimals – mediumhard 
580.2 kB 
1390 
September 3, 2019 
Multiplying positive decimals – hard 
569.5 kB 
1534 
September 3, 2019 
Multiplying positive decimals – very hard 
567.2 kB 
1381 
September 3, 2019 
Positive fractions

Multiplying positive fractions – very hard 
567.2 kB 
1381 
September 3, 2019 
Multiplying positive fractions – very easy 
172.7 kB 
2015 
September 3, 2019 
Multiplying positive fractions – easy 
188.9 kB 
1703 
September 3, 2019 
Multiplying positive fractions – medium 
577.2 kB 
1546 
September 3, 2019 
Multiplying positive fractions – mediumhard 
591.9 kB 
1375 
September 3, 2019 
Multiplying positive fractions – hard 
575.7 kB 
1382 
September 3, 2019 
Multiplying positive fractions – very hard 
581 kB 
1366 
September 3, 2019 
Positive mixed numbers

Multiplying positive mixed numbers – very easy 
176.8 kB 
1550 
September 3, 2019 
Multiplying positive mixed numbers – easy 
209.8 kB 
1562 
September 3, 2019 
Multiplying positive mixed numbers – medium 
585.6 kB 
1396 
September 3, 2019 
Multiplying positive mixed numbers – mediumhard 
592.9 kB 
1329 
September 3, 2019 
Multiplying positive mixed numbers – hard 
589.3 kB 
1319 
September 3, 2019 
Multiplying positive mixed numbers – very hard 
596.6 kB 
1307 
September 3, 2019 
Positive improper fractions

Multiplying positive improper fractions – very easy 
166 kB 
1362 
September 3, 2019 
Multiplying positive improper fractions – easy 
169.9 kB 
1453 
September 3, 2019 
Multiplying positive improper fractions – medium 
571.6 kB 
1332 
September 3, 2019 
Multiplying positive improper fractions – mediumhard 
569.5 kB 
1314 
September 3, 2019 
Multiplying positive improper fractions – hard 
560.5 kB 
1246 
September 3, 2019 
Multiplying positive improper fractions – very hard 
571.8 kB 
1313 
September 3, 2019 
Non positive integers

Multiplying integers – very easy 
137.9 kB 
1914 
September 3, 2019 
Multiplying integers – easy 
143.6 kB 
1900 
September 3, 2019 
Multiplying integers – medium 
173.3 kB 
1843 
September 3, 2019 
Multiplying integers – mediumhard 
173.5 kB 
1742 
September 3, 2019 
Multiplying integers – hard 
565.9 kB 
1544 
September 3, 2019 
Multiplying integers – very hard 
568 kB 
1443 
September 3, 2019 
Non positive decimals

Multiplying decimals – very easy 
186.6 kB 
1782 
September 3, 2019 
Multiplying decimals – easy 
187 kB 
1898 
September 3, 2019 
Multiplying decimals – medium 
578.8 kB 
1405 
September 3, 2019 
Multiplying decimals – mediumhard 
577 kB 
1332 
September 3, 2019 
Multiplying decimals – hard 
564.9 kB 
1378 
September 3, 2019 
Multiplying decimals – very hard 
567.9 kB 
1312 
September 3, 2019 
Non positive fractions

Multiplying fractions – very easy 
179.6 kB 
1394 
September 3, 2019 
Multiplying fractions – easy 
186.7 kB 
1651 
September 3, 2019 
Multiplying fractions – medium 
583.8 kB 
1367 
September 3, 2019 
Multiplying fractions – mediumhard 
589 kB 
1324 
September 3, 2019 
Multiplying fractions – hard 
588 kB 
1249 
September 3, 2019 
Multiplying fractions – very hard 
594.9 kB 
1252 
September 3, 2019 
Non positive mixed numbers

Multiplying mixed numbers – very easy 
192.9 kB 
1295 
September 3, 2019 
Multiplying mixed numbers – easy 
209 kB 
1461 
September 3, 2019 
Multiplying mixed numbers – medium 
594.7 kB 
1327 
September 3, 2019 
Multiplying mixed numbers – mediumhard 
602.2 kB 
1201 
September 3, 2019 
Multiplying mixed numbers – hard 
586.3 kB 
1212 
September 3, 2019 
Multiplying mixed numbers – very hard 
591.3 kB 
1202 
September 3, 2019 
Non positive improper fractions

Multiplying improper fractions – very easy 
171.2 kB 
1249 
September 3, 2019 
Multiplying improper fractions – easy 
174 kB 
1283 
September 3, 2019 
Multiplying improper fractions – medium 
574.7 kB 
1246 
September 3, 2019 
Multiplying improper fractions – mediumhard 
573.9 kB 
1175 
September 3, 2019 
Multiplying improper fractions – hard 
570.7 kB 
1194 
September 3, 2019 
Multiplying improper fractions – very hard 
577.4 kB 
1190 
September 3, 2019 
Multiplying worksheets for students
Worksheet Name 
File Size 
Downloads 
Upload date 
Positive

Multiplying positive integers 
496.1 kB 
2182 
September 3, 2019 
Multiplying positive decimals 
51.8 kB 
1569 
September 3, 2019 
Multiplying positive fractions 
632.1 kB 
1382 
September 3, 2019 
Multiplying positive mixed numbers 
637.8 kB 
1619 
September 3, 2019 
Multiplying positive improper fractions 
594.6 kB 
1221 
September 3, 2019 
Non positive

Multiplying integers 
166.8 kB 
1596 
September 3, 2019 
Multiplying decimals 
246.3 kB 
1455 
September 3, 2019 
Multiplying fractions 
393.1 kB 
1422 
September 3, 2019 
Multiplying mixed numbers 
412.4 kB 
1351 
September 3, 2019 
Multiplying improper fractions 
334.1 kB 
1273 
September 3, 2019 