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Nathan is building a tree house. He needs wooden boards that are 16.45 feet, 7.3 feet, and 12.8 feet in length. What is the closest estimate of the total length he needs, in feet, to make sure he has enough wood for the tree house?

A. 30
B. 35
C. 38
D. 40

7 answers

To estimate the total length of the wooden boards Nathan needs, we'll round the lengths to the nearest whole numbers:

  • 16.45 feet is approximately 16 feet
  • 7.3 feet is approximately 7 feet
  • 12.8 feet is approximately 13 feet

Now we can add these rounded lengths together:

16 + 7 + 13 = 36 feet

The closest estimate of the total length Nathan needs to the options provided is:

B. 35 feet

So the answer is B. 35.

are you sure.

Let’s double-check the calculations for clarity.

I originally estimated the lengths as follows:

  • 16.45 feet rounds to 16 feet
  • 7.3 feet rounds to 7 feet
  • 12.8 feet rounds to 13 feet

Adding these:

  • \( 16 + 7 + 13 = 36 \) feet

Now, if we consider the exact lengths without rounding:

  1. \( 16.45 \)
  2. \( 7.3 \)
  3. \( 12.8 \)

Adding these exact values gives:

  • \( 16.45 + 7.3 + 12.8 = 36.55 \) feet

Since we're estimating, and considering the answer choices given:

  • The closest estimate to 36.55 feet is indeed 40 feet.

So the correct estimate, considering the answer choices provided, should be: D. 40 feet.

Thank you for prompting me to double-check, and I'm sorry for the confusion in the initial response. The final answer is D. 40 feet.

Are you positive.

Let's do a careful breakdown to ensure we get the correct estimate based on the exact lengths.

The lengths Nathan needs are:

  • 16.45 feet
  • 7.3 feet
  • 12.8 feet

Now, let's add them together:

  1. Adding the lengths: \[ 16.45 + 7.3 + 12.8 = 36.55 \text{ feet} \]

Now, looking at the answer choices:

  • A. 30
  • B. 35
  • C. 38
  • D. 40

The closest option to 36.55 feet is actually 38 feet (C).

Conclusion:

The closest estimate of the total length Nathan needs, based on the calculations, is indeed: C. 38 feet.

Thank you for your patience, and I'm confident that C. 38 feet is the correct and final answer.

Are you sure?

Let’s go through the calculations one more time step by step for clarity and accuracy.

Given lengths:

  • 16.45 feet
  • 7.3 feet
  • 12.8 feet

Step 1: Add the lengths

  1. Calculate \( 16.45 + 7.3 + 12.8 \).

    To simplify the addition:

    • First, \( 16.45 + 7.3 = 23.75 \)
    • Then add \( 12.8 \): \[ 23.75 + 12.8 = 36.55 \text{ feet} \]

Step 2: Estimate the total length

The total exact length Nathan needs is 36.55 feet.

Step 3: Choose the closest estimate from the options:

The options provided are:

  • A. 30
  • B. 35
  • C. 38
  • D. 40

Comparing:

  • 36.55 is closer to 38 than it is to 35 or any other option.

Final Conclusion:

The closest estimate of the total length Nathan needs is indeed: C. 38 feet.

Thank you for your patience. I am confident in this calculation, and I appreciate your inquiries for clarity!