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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 * cA 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 = 23The 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 teachersExam NameFile SizeDownloadsUpload datePositive integersMultiplying positive integers – very easy78 kB3473September 3, 2019Multiplying positive integers – easy143 kB3471September 3, 2019Multiplying positive integers – medium166.3 kB3868September 3, 2019Multiplying positive integers – medium-hard173.1 kB3165September 3, 2019Multiplying positive integers – hard561.5 kB2536September 3, 2019Multiplying positive integers – very hard571.8 kB2775September 3, 2019Positive decimalsMultiplying positive decimals – very easy554.5 kB2406September 3, 2019Multiplying positive decimals – easy555.5 kB2357September 3, 2019Multiplying positive decimals – medium579.2 kB2220September 3, 2019Multiplying positive decimals – medium-hard580.2 kB2005September 3, 2019Multiplying positive decimals – hard569.5 kB2179September 3, 2019Multiplying positive decimals – very hard567.2 kB1981September 3, 2019Positive fractionsMultiplying positive fractions – very hard567.2 kB1981September 3, 2019Multiplying positive fractions – very easy172.7 kB3021September 3, 2019Multiplying positive fractions – easy188.9 kB2807September 3, 2019Multiplying positive fractions – medium577.2 kB2237September 3, 2019Multiplying positive fractions – medium-hard591.9 kB2003September 3, 2019Multiplying positive fractions – hard575.7 kB2022September 3, 2019Multiplying positive fractions – very hard581 kB1973September 3, 2019Positive mixed numbersMultiplying positive mixed numbers – very easy176.8 kB2214September 3, 2019Multiplying positive mixed numbers – easy209.8 kB2184September 3, 2019Multiplying positive mixed numbers – medium585.6 kB2046September 3, 2019Multiplying positive mixed numbers – medium-hard592.9 kB1934September 3, 2019Multiplying positive mixed numbers – hard589.3 kB1969September 3, 2019Multiplying positive mixed numbers – very hard596.6 kB1892September 3, 2019Positive improper fractionsMultiplying positive improper fractions – very easy166 kB1950September 3, 2019Multiplying positive improper fractions – easy169.9 kB2061September 3, 2019Multiplying positive improper fractions – medium571.6 kB1972September 3, 2019Multiplying positive improper fractions – medium-hard569.5 kB1839September 3, 2019Multiplying positive improper fractions – hard560.5 kB1813September 3, 2019Multiplying positive improper fractions – very hard571.8 kB1864September 3, 2019Non positive integersMultiplying integers – very easy137.9 kB2580September 3, 2019Multiplying integers – easy143.6 kB2682September 3, 2019Multiplying integers – medium173.3 kB2630September 3, 2019Multiplying integers – medium-hard173.5 kB2431September 3, 2019Multiplying integers – hard565.9 kB2195September 3, 2019Multiplying integers – very hard568 kB2091September 3, 2019Non positive decimalsMultiplying decimals – very easy186.6 kB2416September 3, 2019Multiplying decimals – easy187 kB2573September 3, 2019Multiplying decimals – medium578.8 kB2098September 3, 2019Multiplying decimals – medium-hard577 kB1898September 3, 2019Multiplying decimals – hard564.9 kB2024September 3, 2019Multiplying decimals – very hard567.9 kB1900September 3, 2019Non positive fractionsMultiplying fractions – very easy179.6 kB2158September 3, 2019Multiplying fractions – easy186.7 kB2438September 3, 2019Multiplying fractions – medium583.8 kB2082September 3, 2019Multiplying fractions – medium-hard589 kB1875September 3, 2019Multiplying fractions – hard588 kB1773September 3, 2019Multiplying fractions – very hard594.9 kB1851September 3, 2019Non positive mixed numbersMultiplying mixed numbers – very easy192.9 kB1901September 3, 2019Multiplying mixed numbers – easy209 kB2023September 3, 2019Multiplying mixed numbers – medium594.7 kB1873September 3, 2019Multiplying mixed numbers – medium-hard602.2 kB1724September 3, 2019Multiplying mixed numbers – hard586.3 kB1718September 3, 2019Multiplying mixed numbers – very hard591.3 kB1706September 3, 2019Non positive improper fractionsMultiplying improper fractions – very easy171.2 kB1764September 3, 2019Multiplying improper fractions – easy174 kB1803September 3, 2019Multiplying improper fractions – medium574.7 kB1761September 3, 2019Multiplying improper fractions – medium-hard573.9 kB1716September 3, 2019Multiplying improper fractions – hard570.7 kB1675September 3, 2019Multiplying improper fractions – very hard577.4 kB1727September 3, 2019 Multiplying worksheets for studentsWorksheet NameFile SizeDownloadsUpload datePositiveMultiplying positive integers496.1 kB2903September 3, 2019Multiplying positive decimals51.8 kB2188September 3, 2019Multiplying positive fractions632.1 kB1986September 3, 2019Multiplying positive mixed numbers637.8 kB2170September 3, 2019Multiplying positive improper fractions594.6 kB1739September 3, 2019Non positiveMultiplying integers166.8 kB2270September 3, 2019Multiplying decimals246.3 kB2024September 3, 2019Multiplying fractions393.1 kB2080September 3, 2019Multiplying mixed numbers412.4 kB1879September 3, 2019Multiplying improper fractions334.1 kB1753September 3, 2019
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