Question

Ruchi measured the area of her kitchen as 2.81 times 10 Superscript 4 square units. When she recorded the area, she wrote 2.81 times 10 Superscript 4 square feet. Which statement about her labeling of the units is true? She is correct because dimensions of rooms must always be measured in feet and area would be square feet. She is correct because 2.81 times 10 Superscript 4 ftSquared is equivalent to 2, 810 ftSquared, which is an average size for a kitchen since area is always so much more than length. She is incorrect because 2.81 times 10 Superscript 4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches. She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.

Answer 1

Answer:

The following statement is true:

She is incorrect because 2.81 times 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.

Step-by-step explanation:

Area of the kitchen measured = 2.81 · 10⁴ = 28100

Lets evaluate all the statements

1) She is correct because dimensions of rooms must always be measured in feet and area would be square feet.

This statement is WRONG because if the dimension were measured in feet, the total area of the kitchen would be 28100 ft², which is too large of a kitchen. 28100 ft² can easily fit 10 medium sized full house of 2800 ft² or even a big building.

2) She is correct because 2.81 times 10^4 ft squared is equivalent to 2, 810 ft squared, which is an average size for a kitchen since area is always so much more than length

This statement is wrong because 2.81 ft· 10⁴ft = 28100 ft² NOT 2810 ft².

28100 ft² cannot be the size of the kitchen as discussed before.

3) She is incorrect because 2.81 times 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.

The statement is CORRECT because 2.81 in· 10⁴in = 28100 in² ≅ 30000 in² = 208 ft² , which can easily be the size of a kitchen.

4) She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.

The number she calculated was not 2.81, it was 2.81 · 10⁴, which in yards become a very large value for a kitchen

Answer 2

Answer:

She is incorrect because 2.81 times 10 Superscript 4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.

Step-by-step explanation:

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