Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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## Knowledge Check: Measurement Multiplication and Division

---

### Question 8

**Instruction**: Decide whether each proposed multiplication or division of measurements is possible. If it is possible, write the result in the last column of the table.

---

**Problem Table**

| Proposed Multiplication or Division            | Is this possible? | Result       |
|------------------------------------------------|-------------------|--------------|
| \(\frac{1.8 \text{ km}}{6.0 \text{ s}} = ?\)    | ○ yes            | \( 300 \ \dfrac{\text{m}}{\text{s}} \)  |
|                                                | ○ no             |              |
| \((3.0 \ \text{cm}^3) \cdot (8.0 \ \text{cm}^2) = ?\) | ○ yes            |              |
|                                                | ○ no             |              |
| \(\frac{60. \ \text{cm}^2}{0.20 \ \text{m}} = ?\)    | ○ yes            |              |
|                                                | ○ no             |              |

---

**Explanation of the Interfaces and Tools**:
- The table includes proposed multiplication or division operations with units.
- Each operation requires a decision on whether it is mathematically and physically possible.
  - If yes, the result (including units) should be written in the result column.
  - If no, leave the result column blank.
- Select the correct option (yes/no) for each operation.

---

**Calculation Explanation**:

1. For \(\frac{1.8 \text{ km}}{6.0 \text{ s}}\):
   - Calculation: \(1.8 \text{ km}\) divided by \(6.0 \text{ s}\)
   - Convert \(1.8 \text{ km}\) to meters: \(1.8 \text{ km} = 1800 \text{ m}\)
   - Result: \(\frac{1800 \text{ m}}{6.0 \text{ s}} = 300 \ \dfrac{\text{m}}{\text{s}}\).

2. For \((3.0 \ \text{cm}^3) \cdot (8.0 \ \text{cm}^2)\):
   - Calculation: \(3.0 \ \text{cm}^3\
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Transcribed Image Text:## Knowledge Check: Measurement Multiplication and Division --- ### Question 8 **Instruction**: Decide whether each proposed multiplication or division of measurements is possible. If it is possible, write the result in the last column of the table. --- **Problem Table** | Proposed Multiplication or Division | Is this possible? | Result | |------------------------------------------------|-------------------|--------------| | \(\frac{1.8 \text{ km}}{6.0 \text{ s}} = ?\) | ○ yes | \( 300 \ \dfrac{\text{m}}{\text{s}} \) | | | ○ no | | | \((3.0 \ \text{cm}^3) \cdot (8.0 \ \text{cm}^2) = ?\) | ○ yes | | | | ○ no | | | \(\frac{60. \ \text{cm}^2}{0.20 \ \text{m}} = ?\) | ○ yes | | | | ○ no | | --- **Explanation of the Interfaces and Tools**: - The table includes proposed multiplication or division operations with units. - Each operation requires a decision on whether it is mathematically and physically possible. - If yes, the result (including units) should be written in the result column. - If no, leave the result column blank. - Select the correct option (yes/no) for each operation. --- **Calculation Explanation**: 1. For \(\frac{1.8 \text{ km}}{6.0 \text{ s}}\): - Calculation: \(1.8 \text{ km}\) divided by \(6.0 \text{ s}\) - Convert \(1.8 \text{ km}\) to meters: \(1.8 \text{ km} = 1800 \text{ m}\) - Result: \(\frac{1800 \text{ m}}{6.0 \text{ s}} = 300 \ \dfrac{\text{m}}{\text{s}}\). 2. For \((3.0 \ \text{cm}^3) \cdot (8.0 \ \text{cm}^2)\): - Calculation: \(3.0 \ \text{cm}^3\
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