3 lots of x

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3 lots of x This document discusses multiplication and commutativity It explains that multiplication is finding lots of one number by another number It provides examples of multiplication problems that have the same answer regardless of the order the numbers are written such as 6 x 2 and 2 x 6 both equaling 12

Example 1 Bertie bought 7 boxes of cupcakes Each box has 3 cupcakes How many cupcakes has he bought altogether Use the array to help you work this out 3 lots of 7 or 7 lots of 3 is 3 lots of 5 5 5 5 15 4 lots of 5 5 5 5 5 20 and so on Times Table of 10 In the same way the multiplication table of 10 requires adding 10 to every lot 1 lot of 10 10 2 lots of 10 10 10 20 3 lots of 10 20 10 30 4 lots of 10 30 10 40 and so on Take a look at the chart

3 lots of x

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The number 3 which denotes the number of summands is called the multiplier and the result 3 x 5 is called the product Since they take the 3 as the number of 5 s it must be the multiplier Again the distinction lies only in We have 3 groups of 6 or 3 lots of 6 children The word lots of can be replaced with a multiplication sign 3 6 18 and so there are 18 children in total

3 lots of 3 is 9 and so we write 3 3 9 4 lots of 3 is 12 and so we write 4 3 12 Multiplication arrays can also be used to teach the commutative property of multiplication This is counter intuitive to those who imagine it to be like English which if you replaced the x symbol with lots of would read three lots of two And one of the ways we ask children to imagine the concept of times is as lots of It also has implications to the name we give to times tables

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Use a do not equal sign for Does not equal Is not equal to Is not the same as Is not Twice Double mean multiply by 2 Thrice Triple mean multiply by 3 Quadruple means multiply by 4 Half means divide by 2 Squared means a power of 2 Cubed means a power of 3 Ultimate guide to algebraic expressions 3 3 2 lots of 2 x 3 6 5 5 2 lots of 5 2 x 10 7 7 2 lots of 2 x 7 6 6 2 lots of 6 2 x 1 1 2 lots of 1 2 x Page 1 2 x 2 4 2 x 3 6 2 x 4 8

Much many a lot of lots of quantifiers English Grammar Today a reference to written and spoken English grammar and usage Cambridge Dictionary A lot of and lots of a large number or amount We use a lot of or lots of with both countable and uncountable nouns There was a lot of rain last week rain uncountable There were a lot of people at the party people countable plural There s lots of food in the cupboard food uncountable A lot of vs much many

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3 lots of x - 3 lots of 3 is 9 and so we write 3 3 9 4 lots of 3 is 12 and so we write 4 3 12 Multiplication arrays can also be used to teach the commutative property of multiplication