Fundamentals of multiplication and division

​Multiplication is repeated addition.

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Model for me:

Someone gives you two dollars each day for three days. How many dollars do you have?​

​ 2 x 3 =

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Model for me:

Someone gives you three dollars each day for two days. How many dollars do you have?​

​ 3 x 2 =

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It doesn't matter what order the factors go in for multiplication, you'll get the same product.​

​Neutral element:

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1 is called the identity of multiplication.

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Any number times 1 is itself.​

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7 x 1 = 7

1 x 7 = 7​

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Think about it: If I have 1 group of 7, what does that mean?​ If I have 7 groups of 1, what does that mean?

​Division is the opposite of multiplication.

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It means dividing something into equal groups.

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Show me:

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You have six dollars. You want to give the money equally to three friends.​

​Division is the opposite of multiplication.

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It means dividing something into equal groups.

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Show me:

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Three friends each give you two dollars. How much money do you get?​

​In division, the order does matter!

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6 divided by 3 is not the same as 3 divided by 6.​

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Try it out with these examples:

You have six dollars. You want to give the money equally to three friends.

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You have three dollars. You want to give the money equally to six friends.​

​Now, let's try a mix of multiplication and division...

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Make sure to look closely so you know if the problem is multiplication or division!​

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The rules are different than the rules for adding and subtracting positive and negative numbers!​

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The rules are different than the rules for adding and subtracting positive and negative numbers!​

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​Why?

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https://www.mathsisfun.com/multiplying-negatives.html

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