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The problem provided is asking to calculate the **lower and upper bounds** of the mass of chemicals at the end of the experiment, given initial masses rounded to two significant figures and a decrease in mass also rounded to two significant figures.

### Step-by-step breakdown:

1. **Initial mass:**  
   The mass of the chemicals at the start is given as 84 g, rounded to 2 significant figures. To find the lower and upper bounds of 84 g:
   - The lower bound is \( 83.5 \, \text{g} \) (rounding to the nearest whole gram).
   - The upper bound is \( 84.5 \, \text{g} \).

2. **Decreased mass:**  
   The mass decreased by 6.2 g, rounded to 2 significant figures. For the bounds of 6.2 g:
   - The lower bound is \( 6.15 \, \text{g} \).
   - The upper bound is \( 6.25 \, \text{g} \).

3. **Final mass at the end of the experiment:**
   - To find the **lower bound** of the final mass, subtract the upper bound of the decrease from the lower bound of the initial mass:
     \[
     83.5 \, \text{g} - 6.25 \, \text{g} = 77.25 \, \text{g}
     \]
   - To find the **upper bound** of the final mass, subtract the lower bound of the decrease from the upper bound of the initial mass:
     \[
     84.5 \, \text{g} - 6.15 \, \text{g} = 78.35 \, \text{g}
     \]

### Answer:
- The **lower bound** of the final mass is 77.25 g.
- The **upper bound** of the final mass is 78.35 g.

Would you like more details, or do you have any questions?

Here are some related questions to further expand your understanding:
1. How do you determine the bounds when rounding numbers to different significant figures?
2. What is the significance of lower and upper bounds in practical measurements?
3. How do changes in the number of significant figures affect uncertainty in calculations?
4. How do you handle bounds when working with multiple operations (like addition and subtraction)?
5. How can you apply the concept of bounds in other real-life situations, such as budgeting or error estimation?

**Tip:** When working with significant figures, always ensure that your final answer is rounded appropriately to match the level of precision in the given data.

At the start of an experiment, some chemicals had a mass of 84 g, rounded to 2 significant figures. During the experiment, the mass of the chemicals decreased by 6.2 g, rounded to 2 significant figures. Calculate the lower and upper bounds of the mass of the chemicals at the end of the experiment.

Learn how to calculate the lower and upper bounds of the mass of chemicals in an experiment. The initial mass is 84 g, and the mass decreased by 6.2 g, both rounded to 2 significant figures. This solution walks through the step-by-step process of finding the bounds. Suitable for Grades 9-11.

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