Gregory estimated the product of two decimals to be 24.

Question

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.