To find the greatest difference, you need to subtract two numbers and see which pair results in the largest absolute value. Here's how you can do it:
1. Find the absolute difference between each pair of numbers:
- Absolute difference between 2 1/3 and 1.5: |2 1/3 - 1.5| = 2 1/3 - 1.5 = 5/3 - 1.5 = 1/3
- Absolute difference between 2 1/3 and -1.25: |2 1/3 - (-1.25)| = 2 1/3 + 1.25 = 7/3 + 5/4
= 28/12 + 15/12 = 43/12 ≈ 3.583
- Absolute difference between 2 1/3 and -3 1/4: |2 1/3 - (-3 1/4)| = 2 1/3 + 3 1/4 = 7/3 + 13/4
= 28/12 + 39/12 = 67/12 ≈ 5.583
From the three absolute differences, the largest is 5.583, which is the greatest difference.
To find the greatest product, you need to multiply two numbers and find the pair with the largest product. Here's how you can do it:
1. Multiply each pair of numbers:
- Product of 2 1/3 and 1.5: (2 1/3) * 1.5 = 7/3 * 3/2 = 7/2 ≈ 3.5
- Product of 2 1/3 and -1.25: (2 1/3) * (-1.25) = 7/3 * (-5/4) = -35/12 ≈ -2.917
- Product of 2 1/3 and -3 1/4: (2 1/3) * (-3 1/4) = 7/3 * (-13/4) = -91/12 ≈ -7.583
Out of the three products, the largest is 3.5, which is the greatest product.
Therefore, the greatest difference is 5.583, and the greatest product is 3.5.