00:00 Use the Distributive Property to find the product of 6 x 3,584. Enter your answer in the box.

  21,504

Step-by-step explanation:

This is the usual method multiplication is done "by hand."

  6 × 3584 = 6 × (3000 +500 +80 +4)

  = 6×3000 +6×500 +6×80 +6×4

  = 18000 +3000 +480 +24

  = 21000 +504

  = 21,504

Many of us are taught in grade school to do the multiplication right to left:

  = 6×4 +6×80 +6×500 +6×3000

... writing down the digit corresponding to the place value of the product, and "carrying" any more significant digits to add to the next product.

Here, that looks like 6×4 = 24, write down 4, carry 2. 6×8 = 48, add 2 to get 50, write down 0, carry 5. 6×5 = 30, add 5 to get 35, write down 5, carry 3. 6×3 = 18, add 3 to get 21, write down 21. Then the product is 21504.

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When doing mental calculation, or using an abacus or soroban, it often works better to do the multiplication left to right, as shown in the answer above.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.