Question

Mrs. Beck buys 48 pieces of house siding. Each piece is 3.7 meters long. Which equation represents the best estimate for the total length of siding Mrs. Beck buys?

A) 40 × 3 = 120 meters
B) 40 × 4 = 160 meters
C) 50 × 4 = 200 meters
D) 50 × 5 = 250 meters

Answer 1

To determine the best estimate for the total length of house siding Mrs. Beck buys, we can approximate the values involved.

1. **Number of Pieces**: Mrs. Beck buys 48 pieces. To simplify calculations, we can round this to 50.

2. **Length of Each Piece**: Each piece is 3.7 meters long. We can round this to 4 meters for easier estimation.

Now, we can calculate the estimated total length using the rounded values:

\[
\text{Estimated Total Length} = \text{Number of Pieces} \times \text{Length of Each Piece}
\]
\[
\text{Estimated Total Length} \approx 50 \times 4 = 200 \text{ meters}
\]

Looking at the answer choices given:

A) 40 × 3 = 120 meters
B) 40 × 4 = 160 meters
C) 50 × 4 = 200 meters
D) 50 × 5 = 250 meters

The equation that best fits our estimate is:

**C) 50 × 4 = 200 meters**.