Pregunta
Arrange in ascending order: \( -3,305 ; 3,15 ; 0,-3 ; 3,4 ;-3,35 \).
Ask by Ryan Gibson. in South Africa
Mar 08,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The numbers arranged in ascending order are: -3,35; -3,305; 0,-3; 3,15; 3,4.
Solución
We are given the following five numbers written with a comma as the decimal separator:
\[
-3,305;\quad 3,15;\quad 0,-3;\quad 3,4;\quad -3,35.
\]
Our first step is to interpret each number in a familiar decimal (point‐notation) format. In many countries the comma is used as the decimal separator. With that in mind, we interpret the numbers as follows:
- \( -3,305 \) becomes \( -3.305 \)
- \( 3,15 \) becomes \( 3.15 \)
- \( 0,-3 \) is assumed to be a misplacement and is interpreted as \( -0.3 \)
- \( 3,4 \) becomes \( 3.4 \)
- \( -3,35 \) becomes \( -3.35 \)
Now we have the set of numbers:
\[
-3.305,\quad 3.15,\quad -0.3,\quad 3.4,\quad -3.35.
\]
We now arrange these numbers in ascending (increasing) order by comparing their values.
### Step 1. Compare the negative numbers
There are three negative numbers: \( -3.305,\; -3.35,\; -0.3 \).
- To compare \( -3.35 \) and \( -3.305 \), write them to the same number of decimal places:
\[
-3.350\quad \text{and}\quad -3.305.
\]
Since \(-3.350 < -3.305\) (because \( -3.35 \) is further to the left on the number line), we have
\[
-3.35 < -3.305.
\]
- The number \( -0.3 \) is much closer to zero than the other two negative numbers and therefore is larger than both. In summary, among the negative numbers:
\[
-3.35 < -3.305 < -0.3.
\]
### Step 2. The positive numbers
The remaining numbers are positive:
\[
3.15 \quad \text{and} \quad 3.4.
\]
Clearly,
\[
3.15 < 3.4.
\]
### Step 3. Combine the results
We now combine the comparisons of the negative and positive numbers. The full sequence in ascending order is:
\[
-3.35,\quad -3.305,\quad -0.3,\quad 3.15,\quad 3.4.
\]
In the original notation (using a comma as the decimal separator), the ordered list is:
\[
-3,35;\quad -3,305;\quad 0,-3;\quad 3,15;\quad 3,4.
\]
Thus, the numbers arranged in ascending order are:
\[
-3,35;\quad -3,305;\quad 0,-3;\quad 3,15;\quad 3,4.
\]
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Extra Insights
To arrange the numbers in ascending order, we first need to clarify the values, ensuring they are correctly understood: 1. \( -3.305 \) 2. \( 3.15 \) 3. \( 0 \) 4. \( -3.0 \) (or simply \( -3 \)) 5. \( 3.4 \) 6. \( -3.35 \) Now let's compare and arrange these numbers: Starting from the most negative to the least: - \( -3.35 \) (is less than \( -3.305 \)) - \( -3.305 \) - \( -3.0 \) - \( 0 \) - \( 3.15 \) - \( 3.4 \) Putting it all together, the ascending order is: \[ -3.35, -3.305, -3, 0, 3.15, 3.4 \]

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