Let's analyze the question from the image:

Question:
"Which sum or difference could have an estimate of 2? Select all that apply."

We need to determine which of the given sums or differences approximate to 2. Let's go over each option:

Option A: $1 \frac{8}{10} + \frac{1}{8}$

• $1 \frac{8}{10} \approx 1.8$
• $\frac{1}{8} \approx 0.125$
• Sum: $1.8 + 0.125 \approx 1.925$ (close to 2)
  This is a possible answer.

Option B: $2 \frac{1}{10} - \frac{6}{10}$

• $2 \frac{1}{10} \approx 2.1$
• $\frac{6}{10} = 0.6$
• Difference: $2.1 - 0.6 = 1.5$ (not close to 2)
  Not a valid option.

Option C: $1 \frac{7}{16} + 1 \frac{7}{8}$

• $1 \frac{7}{16} \approx 1.4$
• $1 \frac{7}{8} \approx 1.875$
• Sum: $1.4 + 1.875 \approx 3.275$ (far from 2)
  Not a valid option.

Option D: $2 \frac{1}{3} - 1 \frac{3}{14}$

• $2 \frac{1}{3} \approx 2.33$
• $1 \frac{3}{14} \approx 1.21$
• Difference: $2.33 - 1.21 \approx 1.12$ (not close to 2)
  Not a valid option.

Option E: $1 \frac{5}{14} + 1 \frac{1}{4}$

• $1 \frac{5}{14} \approx 1.36$
• $1 \frac{1}{4} = 1.25$
• Sum: $1.36 + 1.25 = 2.61$ (close to 2, but a bit high)
  This could be considered close to 2.

Conclusion:

• Correct options: A and E

Do you have any further questions or need more clarification?

5 Related Questions:

1. What are the rules for rounding fractions to whole numbers?
2. How do we convert mixed fractions into decimals?
3. When estimating sums, what is a reasonable margin for error?
4. Can we use benchmarks like 0.5 and 1 to estimate fractions faster?
5. What strategies are helpful when subtracting mixed numbers?

Tip: When estimating sums or differences, try rounding mixed fractions to the nearest whole number—it simplifies calculations.