Question

Gregory estimated the product of two decimals to be 24.

Which could be the two decimals?
2.07(10.3)
4.02(6.8)
2.74(7.1)
5.9(3.92)

Answer 1

To determine which pair of decimals could yield a product close to 24, we can calculate the products of the given pairs:

1. **2.07 × 10.3**:
\[
2.07 \times 10.3 \approx 21.321
\]

2. **4.02 × 6.8**:
\[
4.02 \times 6.8 \approx 27.336
\]

3. **2.74 × 7.1**:
\[
2.74 \times 7.1 \approx 19.434
\]

4. **5.9 × 3.92**:
\[
5.9 \times 3.92 \approx 23.068
\]

Now, let's summarize the results:
- 2.07 × 10.3 ≈ 21.32
- 4.02 × 6.8 ≈ 27.34
- 2.74 × 7.1 ≈ 19.43
- 5.9 × 3.92 ≈ 23.07

The product that is closest to 24 is **5.9 × 3.92**, which yields approximately **23.07**.

Thus, the answer is **5.9 and 3.92**.