Which expression gives the best estimate for the product of 281 x 2.16 A 300 x 3 B 200 x 2 C 300 x 2 D 250x 2

Answer 1

To estimate the product of \( 281 \times 2.16 \), we can first round the numbers to make calculations easier.

• \( 281 \) is close to \( 300 \)
• \( 2.16 \) is close to \( 2 \)

Now, let's consider the provided options:

A) \( 300 \times 3 \)
B) \( 200 \times 2 \)
C) \( 300 \times 2 \)
D) \( 250 \times 2 \)

Calculating the estimates for the products:

A) \( 300 \times 3 = 900 \)

B) \( 200 \times 2 = 400 \)

C) \( 300 \times 2 = 600 \)

D) \( 250 \times 2 = 500 \)

Now let's assess which estimate is closest to \( 281 \times 2.16 \).

Calculating the original product: \[ 281 \times 2.16 \approx 608.56 \] Among the estimated products, \( 300 \times 2 = 600 \) is closest to \( 608.56 \).

Therefore, the best estimate for the product of \( 281 \times 2.16 \) is option C) \( 300 \times 2 \).