<h3>3
Answers:</h3>
- A) The product of the area model is 3055
- D) The missing number is 200
- E) The model shows 47 x 65
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Explanation:
The first number along the top is 40, and it multiplies with the second number along the side to get 40 x 5 = 200
You can think of it as 4 x 5 = 20, then you tack on an extra 0 to the '4' and to the '2' as well, so it keeps things balanced.
So this explains how choice D is one of the answers.
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After 200 fills in that question mark, we'll have these four numbers inside the table: 2400, 420, 200, and 35
Those four values add up to: 2400+420+200+35 = 3055
This shows that choice A is one of the answers.
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Finally, choice E is the third answer because along the top we have 40+7 = 47, and along the side we have 60+5 = 65
Put another way, the total top length is the sum of the two smaller pieces of 40 and 7, which explains how the total top length is 47 units long. A similar argument happens for the left side values as well.
We ultimately have a rectangle that is 47 units across in the horizontal direction, and 65 units tall in the vertical direction.
With your calculator, you should note that 47*65 = 3055 to help confirm everything lines up.
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Extra info:
Choice B is false because this contradicts choice D.
Choice C is false because it contradicts choice E
since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get 
, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.