he following question has two parts. First, answer part A. Then, answer part B. 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. (2 points) Question 2 (1 point) Part B How many complete centerpieces can she make? Find the exact answer. centerpieces Skip to navigation

Answer 1

Part A

To determine if Hailey's estimate of making between 20 and 30 complete centerpieces is reasonable, we can start by calculating how many centerpieces she can actually create using the provided number of flowers.

1. Total number of flowers: 430
2. Number of flowers per centerpiece: 17

Now, we divide the total number of flowers by the number of flowers per centerpiece:

\[ \text{Number of centerpieces} = \frac{430 \text{ flowers}}{17 \text{ flowers per centerpiece}} \]

Calculating this division:

1. Perform the long division: \( 430 \div 17 \).
2. 17 goes into 43 about 2 times (since \( 17 \times 2 = 34 \)).
3. Subtract 34 from 43 to get 9, then bring down the next digit (0) to make it 90.
4. 17 goes into 90 about 5 times (since \( 17 \times 5 = 85 \)).
5. Subtract 85 from 90 to get 5.

So, \( 430 \div 17 = 25\) with a remainder of 5.

Thus, Hailey can make 25 complete centerpieces with the 430 flowers.

Conclusion for Part A:

Hailey's estimate of making between 20 and 30 centerpieces is reasonable because the exact calculation shows that she can make 25 centerpieces, which falls within her estimated range.

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Part B

From our calculation in Part A, we found that Hailey can make exactly 25 complete centerpieces.