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For example, evaluate 17*5*20:

Method 1: (17*5)*20 = 85*20 = 1,700.

Method 2: 17*(5*20) = 17*100 = 1,700.

Notice that by first multiplying 5*20 to get 100, the calculation is easy to do in your head.

You can also use the commutative property to rearrange a question:

5*21*4 = 5*4*21 = 20*21 = 420

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How you can use the associative properties of addition and multiplication to find sums and products mentally?

The associative properties of addition and multiplication allow you to group numbers in a way that makes calculations easier. For addition, you can rearrange or regroup numbers to combine them in pairs that are simpler to add, such as (2 + 3) + 5 instead of 2 + (3 + 5). Similarly, for multiplication, you can group factors to simplify the calculation, like (2 × 4) × 5 instead of 2 × (4 × 5). This flexibility enables quicker mental math by reorganizing numbers into more manageable combinations.


How does adding partial products help solve multiplication problem?

How does adding partial products help solve a multiplication problem


Why does the multiplication method partial products work?

Because multiplication is distributive over addition.


Is a multiplication a partial product?

No, multiplication itself is not a partial product; rather, partial products are the individual products obtained when multiplying each digit of one number by each digit of another number, particularly in multi-digit multiplication. For example, when multiplying 23 by 45, the partial products would be 20 times 40, 20 times 5, 3 times 40, and 3 times 5. These partial products are then summed to get the final result of the multiplication. Thus, while partial products are part of the multiplication process, they are not the multiplication itself.


What is multiplication products of 5?

5,10,1,20,25, 30,35,40,45,50,55,60,65,70,75,85,90,95,100........ and so on in that pattern

Related Questions

How does adding partial products help solve multiplication problem?

How does adding partial products help solve a multiplication problem


Why does the multiplication method partial products work?

Because multiplication is distributive over addition.


Is a multiplication a partial product?

No, multiplication itself is not a partial product; rather, partial products are the individual products obtained when multiplying each digit of one number by each digit of another number, particularly in multi-digit multiplication. For example, when multiplying 23 by 45, the partial products would be 20 times 40, 20 times 5, 3 times 40, and 3 times 5. These partial products are then summed to get the final result of the multiplication. Thus, while partial products are part of the multiplication process, they are not the multiplication itself.


What is multiplication products of 5?

5,10,1,20,25, 30,35,40,45,50,55,60,65,70,75,85,90,95,100........ and so on in that pattern


What combines multiplication and addition by multiplying each addend by the number and adding the products?

The distributive property of multiplication over addition.


Where can the facts about multiplication be found?

Multiplication facts and tables can be found all over the internet. A good place for worksheets for multiplication is through the Education website. Also, many teacher stores will have products regarding multiplication.


What is 8943 using partial-products method?

Partial products cannot be used for a single number. They are a form of multiplication.


What are the numbers called in multiplication?

Two factors are multiplied to make a product.


Are the products of opposite corners of any rectangle in the multiplication table equal?

Yes.


What does factors mean in multiplication?

Factors combine in multiplication to make products. In the sentence 3 x 6 = 18, 3 and 6 are factors of 18.


How does adding partial products help you solve multiplication problem?

because if you don't you will get the wrong answer


What is the remainder of 154x15?

Remainders accompany quotients, not products. 154x15 uses multiplication, not division.