One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 floors. Jaime estimates the height of the dollhouse by computing 2 times 3. How does her estimate compare to the actual height of the dollhouse?

Question

A.Her estimate is greater than the actual height because both factors were rounded up.
B.Her estimate is less than the actual height because both factors were rounded up.
C.Her estimate is greater than the actual height because both factors were rounded down.
D.Her estimate is less than the actual height because both factors were rounded down.

Answer 1

To find the actual height of the dollhouse, we can calculate it using the height of one floor and the total number of floors:

1. The height of one floor is \(1.6\) feet.
2. The total number of floors is \(2.5\).

Now, we can calculate the actual height of the dollhouse:

\[ \text{Actual Height} = \text{Height of one floor} \times \text{Total number of floors} = 1.6 \times 2.5 \]

Calculating this:

\[ 1.6 \times 2.5 = 4.0 \text{ feet} \]

Next, we look at Jaime's estimate. She computes \(2 \times 3\):

\[ 2 \times 3 = 6 \]

Now we can compare Jaime's estimate to the actual height:

• Jaime's estimate is \(6\) feet.
• The actual height of the dollhouse is \(4.0\) feet.

Now we analyze the options:

• Her estimate (6 feet) is greater than the actual height (4.0 feet).
• To understand the reasoning, we note that Jaime rounded \(1.6\) up to \(2\) (this is rounding up) and rounded \(2.5\) up to \(3\) (this is also rounding up).

Thus, the correct option is:

A. Her estimate is greater than the actual height because both factors were rounded up.