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Let's evaluate each statement to determine if it correctly expresses the number 3.087.

1. **Option a: "three and eighty-seven hundredths"**  
   - "Three and eighty-seven hundredths" translates to the number \( 3.87 \), which is not equal to 3.087.  
   - **Answer: No**

2. **Option b: \( 0.08 + 3 + 0.007 \)**  
   - \( 0.08 + 3 + 0.007 = 3.087 \)  
   - This is a correct representation.  
   - **Answer: Yes**

3. **Option c: \( 3 + 0.87 \)**  
   - \( 3 + 0.87 = 3.87 \), which is not equal to 3.087.  
   - **Answer: No**

4. **Option d: \( 3 \times 1 + 8 \times \frac{1}{100} + 7 \times \frac{1}{1000} \)**  
   - This simplifies to \( 3 + 0.08 + 0.007 = 3.087 \).  
   - This is a correct representation.  
   - **Answer: Yes**

5. **Option e: \( 3 + \frac{8}{100} + \frac{7}{1000} \)**  
   - \( 3 + 0.08 + 0.007 = 3.087 \).  
   - This is a correct representation.  
   - **Answer: Yes**

### Summary:
- a: **No**
- b: **Yes**
- c: **No**
- d: **Yes**
- e: **Yes**

Would you like any further explanation or details?

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Here are 5 follow-up questions to expand your understanding:
1. What is the decimal value of eighty-seven hundredths?
2. How can you represent the decimal 3.087 as a fraction?
3. Why does option b correctly express 3.087 but not option c?
4. Can you express 3.087 using only fractions?
5. What is the difference between tenths, hundredths, and thousandths in decimal representation?

**Tip:** When converting fractions to decimals, divide the numerator by the denominator to get the equivalent decimal value.

Terrence says there are 3 correct ways to express the equivalent of 3.087 listed below. Check Yes or No for each one to say whether you agree.

This problem helps Grade 5 students evaluate different ways of expressing the decimal number 3.087. Students analyze options involving decimal place value, fractions, and addition to determine which representations are correct.

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