The following question has two parts. First, answer part A. Then, answer part B.

Question

Part A
Hailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project. She estimates that she can make between 20 and 30 complete centerpieces. Is her estimate reasonable?

Use your knowledge of place value and division to explain the reasonableness of her answer.
put it as a 5th grader

Answer 1

To see if Hailey's estimate is reasonable, we can start by dividing the total number of flowers she has by the number of flowers needed for each centerpiece.

1. Divide the Total Flowers by Flowers per Centerpiece:
   • Hailey has 430 flowers.
   • Each centerpiece uses 17 flowers.

Now, let's do the division:

\[ 430 \div 17 \approx 25.3 \]

This means Hailey can make about 25 complete centerpieces.

2. Check the Estimate:

   • Hailey estimates she can make between 20 and 30 centerpieces.
   • Since 25 is between 20 and 30, her estimate is reasonable!

3. Place Value Understanding:

   • The number 430 is in the hundreds place, and 17 is in the tens place. When you divide a larger number (like 430) by a smaller number (like 17), you can expect the answer to be near the middle of the range she estimated.
   • Since 25 is close to the middle of her estimate range of 20 to 30, we can say it makes sense.

Conclusion: Hailey’s estimate of being able to make between 20 and 30 centerpieces is reasonable because after doing the math, we found she can actually make about 25 centerpieces. This shows that her estimation was on the right track!