Question

our people have found the distance in kilometers across a small bridge using different methods.%0D%0ATheir results are given in the table. Order the distances from least to greatest.%0D%0A%0D%0A%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A512, 28−−√, 5.5¯¯¯, 234%0D%0A5%0D%0A1%0D%0A2%0D%0A,%0D%0A %0D%0A28%0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A23%0D%0A4%0D%0A512, 28−−√, 5.5¯¯¯, 234%0D%0A5%0D%0A1%0D%0A2%0D%0A,%0D%0A %0D%0A28%0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A23%0D%0A4%0D%0A%0D%0A28−−√, 512, 5.5¯¯¯, 234%0D%0A28%0D%0A,%0D%0A %0D%0A5%0D%0A1%0D%0A2%0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A23%0D%0A4%0D%0A28−−√, 512, 5.5¯¯¯, 234%0D%0A28%0D%0A,%0D%0A %0D%0A5%0D%0A1%0D%0A2%0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A23%0D%0A4%0D%0A%0D%0A28−−√, 5.5¯¯¯, 234, 512%0D%0A28%0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A23%0D%0A4%0D%0A,%0D%0A %0D%0A5%0D%0A1%0D%0A2%0D%0A28−−√, 5.5¯¯¯, 234, 512%0D%0A28%0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A23%0D%0A4%0D%0A,%0D%0A %0D%0A5%0D%0A1%0D%0A2%0D%0A%0D%0A234 , 5.5¯¯¯, 28−−√, 512%0D%0A23%0D%0A4%0D%0A %0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A28%0D%0A,%0D%0A %0D%0A5%0D%0A1%0D%0A2%0D%0A234 , 5.5¯¯¯, 28−−√, 512%0D%0A23%0D%0A4%0D%0A %0D%0A,%0D%0A %0D%0A5.%0D%0A5%0D%0A¯%0D%0A,%0D%0A %0D%0A28%0D%0A,%0D%0A %0D%0A5%0D%0A1%0D%0A2%0D%0ASkip to navigation

Answers

Answer
you sure
Answer
show the steps that you did to get that answer
Answer
dumb it down
Answer
dumb down how you got the answer
Answer
like not so many words and unnecessary symbols
Answered by GPT-4o mini
To order the distances from least to greatest, we need to evaluate the values provided. The distances are:

1. \( 512 \)
2. \( \sqrt{28} \)
3. \( 5.5 \) (which can be written as \( 5.\overline{5} \) as well)
4. \( 234 \)

Now, let's calculate or approximate these values:

1. \( 512 \) (is already in numeric form)
2. \( \sqrt{28} \approx 5.29 \) (since \( 5.2^2 = 27.04 \) and \( 5.3^2 = 28.09 \), so it's between those two)
3. \( 5.5 \) (is already in numeric form)
4. \( 234 \) (is already in numeric form)

Now let's compare them:

- \( 5.29 \) (approx. \( \sqrt{28} \))
- \( 5.5 \)
- \( 512 \)
- \( 234 \)

Ordering these from least to greatest, we get:

1. \( \sqrt{28} \approx 5.29 \)
2. \( 5.5 \)
3. \( 234 \)
4. \( 512 \)

Thus, the distances ordered from least to greatest are:

**\( \sqrt{28}, 5.5, 234, 512 \)**.
Answered by GPT-4o mini
Let's double-check the order of values given your distances:

1. **\( 512 \)**
2. **\( \sqrt{28} \)**
3. **\( 5.5 \)**
4. **\( 234 \)**

Now, let's calculate the approximate values more accurately:

- **\( 512 \)**: This is obviously \( 512 \).
- **\( \sqrt{28} \)**: The exact square root of \( 28 \) is approximately \( 5.2915 \) (you can calculate this more precisely using a calculator).
- **\( 5.5 \)**: This is exactly \( 5.5 \).
- **\( 234 \)**: This is obviously \( 234 \).

Now let's compare the numerical values:

1. **\( \sqrt{28} \approx 5.2915 \)**
2. **\( 5.5 = 5.5 \)**
3. **\( 234 \)**
4. **\( 512 \)**

Now we compare these to order them:

- The smallest is **\( \sqrt{28} \) (~5.2915)**
- The next is **\( 5.5 \)**
- Then we have **\( 234 \)**
- And finally, **\( 512 \)** is the largest.

So, correctly ordered from least to greatest, the distances are:

**\( \sqrt{28}, 5.5, 234, 512 \)**.

Thank you for prompting me to double-check! Let me know if you have more questions.
Answered by GPT-4o mini
Sure! Here are the step-by-step calculations to determine the order of the distances \( \sqrt{28} \), \( 5.5 \), \( 234 \), and \( 512 \):

### Step 1: Identify the Distances
The distances given are:
- \( 512 \)
- \( \sqrt{28} \)
- \( 5.5 \)
- \( 234 \)

### Step 2: Calculate \( \sqrt{28} \)
To calculate \( \sqrt{28} \), you can estimate it:

- We know that \( 5.2^2 = 27.04 \) and \( 5.3^2 = 28.09 \).
- Since \( 28 \) falls between \( 27.04 \) and \( 28.09 \), we can conclude that:
\[
5.2 < \sqrt{28} < 5.3
\]

Using a calculator for more precision:
\[
\sqrt{28} \approx 5.2915
\]

### Step 3: List All Values
Now we have the approximate values of each distance:
- \( 512 \)
- \( \sqrt{28} \approx 5.2915 \)
- \( 5.5 \)
- \( 234 \)

### Step 4: Ordering the Values
Next, we need to compare these values to find the order from least to greatest:

1. **Comparing \( \sqrt{28} \) and \( 5.5 \)**:
- \( 5.2915 < 5.5 \)
- So \( \sqrt{28} \) is the smallest so far.

2. **Comparing \( 234 \)**:
- \( 234 > 5.5 \)
- So \( 5.5 < 234 \).

3. **Comparing \( 512 \)**:
- \( 512 > 234 \)
- So \( 234 < 512 \).

### Step 5: Compile the Order
Based on the above comparisons, we can order the values from least to greatest:
1. \( \sqrt{28} \) (approximately \( 5.2915 \))
2. \( 5.5 \)
3. \( 234 \)
4. \( 512 \)

### Final Ordered List
Thus, the distances in order from least to greatest are:

**\( \sqrt{28}, 5.5, 234, 512 \)**.

Let me know if you have any other questions or if there’s anything else I can assist you with!
Answered by GPT-4o mini
Sure! Let’s make it super simple. Here’s how we find the order of the distances step-by-step:

### Step 1: Write Down the Distances
We have these distances to compare:
- \( 512 \)
- \( \sqrt{28} \)
- \( 5.5 \)
- \( 234 \)

### Step 2: Find the Value of \( \sqrt{28} \)
- We want to estimate \( \sqrt{28} \), which is the same as asking, "What number times itself equals 28?"
- We can guess that it’s between \( 5.2 \) and \( 5.3 \).
- \( 5.2 \times 5.2 = 27.04 \) (less than 28)
- \( 5.3 \times 5.3 = 28.09 \) (more than 28)
- So, \( \sqrt{28} \) is about \( 5.2915 \) (you can check this with a calculator).

### Step 3: Compare All the Values
Now we have the values:
1. \( \sqrt{28} \) is about \( 5.2915 \)
2. \( 5.5 \)
3. \( 234 \)
4. \( 512 \)

Now let’s put these in order from the smallest to largest:
- \( 5.2915 \) (which is \( \sqrt{28} \)) is the smallest.
- Next is \( 5.5 \).
- Then comes \( 234 \).
- Last is \( 512 \).

### Step 4: Write the Final Order
So, if we list them from least to greatest, we get:

1. \( \sqrt{28} \) (about \( 5.2915 \))
2. \( 5.5 \)
3. \( 234 \)
4. \( 512 \)

**Final Right Order:** **\( \sqrt{28}, 5.5, 234, 512 \)**

And that’s it! Let me know if you need anything else!
Answered by GPT-4o mini
Absolutely! Here’s a very simple breakdown of how I figured out the order of the distances:

### Step 1: List the Distances
We start with these numbers:
- \( 512 \)
- \( \sqrt{28} \) (we'll find this value)
- \( 5.5 \)
- \( 234 \)

### Step 2: Understand \( \sqrt{28} \)
- **What is \( \sqrt{28} \)?** It’s a number that, when multiplied by itself, gives \( 28 \).
- You can guess that it’s a bit more than \( 5.2 \) (because \( 5.2 \times 5.2 = 27.04 \)) but less than \( 5.3 \) (because \( 5.3 \times 5.3 = 28.09 \)).
- So, it’s like \( 5.2 < \sqrt{28} < 5.3 \).
- If you find the exact value (using a calculator), \( \sqrt{28} \approx 5.2915 \).

### Step 3: Write Down All the Numbers
Now we have:
1. \( \sqrt{28} \approx 5.2915 \)
2. \( 5.5 \)
3. \( 234 \)
4. \( 512 \)

### Step 4: Compare All the Numbers
Now, let’s compare the approximate values:
- \( \sqrt{28} \approx 5.2915 \) (this is the smallest)
- \( 5.5 \) is next (bigger than \( 5.2915 \))
- \( 234 \) is much bigger than both \( 5.2915 \) and \( 5.5 \)
- \( 512 \) is the biggest of all.

### Step 5: Put Them in Order
So, the order from smallest to biggest is:
1. \( \sqrt{28} \) (about \( 5.2915 \))
2. \( 5.5 \)
3. \( 234 \)
4. \( 512 \)

### Final Answer
So when you put it all together:
**The order is:** \( \sqrt{28}, 5.5, 234, 512 \)

And that’s how I got the answer! Let me know if you need anything else!
Answered by GPT-4o mini
Got it! Here’s a simpler version without extra details:

**Step 1: Distances to compare**
- 512
- √28
- 5.5
- 234

**Step 2: Find √28**
- √28 is about **5.29**.

**Step 3: Compare the values**
- **5.29** (√28)
- **5.5**
- **234**
- **512**

**Step 4: Order from least to greatest**
1. √28 (about 5.29)
2. 5.5
3. 234
4. 512

**Final Answer:**
**√28, 5.5, 234, 512**

Let me know if you need more help!

Related Questions