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?

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.