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How is a product and a sum alike?
A product is the result of multiplication, and a sum is the result of addition. Multiplication and addition are alike in that multiplication is really just repeated addition. For example, to multiply 3x5 is the same as 3+3+3+3+3 or 5+5+5. These will all result in either the product of 15 or the sum of 15.
How a product and a sum are alike and how they are different?
A product is the answer of a multiplication equation. A sum is the answer of an addition equation.
How do you know that a multiplication fact is correct?
There are a few ways to determine if a multiplication fact is correct:Repeated addition: since multiplication is simply repeated addition at its base, you can reaffirm a multiplication fact by repeatedly adding the number you're multiplying. With the basic multiplication facts (i.e. times tables), this is possibly the best option.Division: Since it's simply the reverse of multiplication, then you can just reverse the process to confirm it.Using multiple methods: There are multiple ways to do multiplication than just the usual long multiplication done in school, such as lattice multiplication, and Ayurvedic multiplication (just to name the two I know). You can use these to confirm a multiplication.
Why do traditional ways of to add and multiply numbers work?
Because that's how the addition and multiplication functions were defined.
How do you to teach multiplication?
Multiplication is repeated addition.
