To determine the quotient of 513 and 27 using an area model, we can break down 513 into two parts that are easier to divide by 27. We can choose numbers that are multiples of 27, which can help us with the calculations.
First, we will break down 513:
Let's break 513 into 486 and 27.
- 486 is a multiple of 27 (since 27 × 18 = 486).
Now we can express this as follows:
513 = 486 + 27.
So we can write:
513 ÷ 27 = (486 ÷ 27) + (27 ÷ 27).
Now we can do the divisions:
- 486 ÷ 27 = 18,
- 27 ÷ 27 = 1.
Putting that all together:
513 ÷ 27 = 18 + 1.
Finally, we can combine the results:
513 ÷ 27 = 19.
Now, let's fill in the boxes:
- 513 ÷ 27 = (486 ÷ 27) + (27 ÷ 27)
- 513 ÷ 27 = 18 + 1
- 513 ÷ 27 = 19
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