We appreciate your visit to Add or subtract the following measurements Ensure each answer contains the correct number of significant digits tex begin aligned 18 500 text mL 6 97. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's go through each calculation step-by-step, making sure our answers have the correct number of significant digits.
### Calculation 1: [tex]\(18.500 \, \text{mL} - 6.97 \, \text{mL}\)[/tex]
1. Identify significant digits:
- 18.500 has significant digits up to the thousandth place.
- 6.97 has significant digits up to the hundredth place.
2. Determine the least number of decimal places:
- 6.97 has the least number of decimal places (2 decimal places).
3. Perform the subtraction:
- [tex]\(18.500 - 6.97 = 11.530\)[/tex]
4. Round the result to 2 decimal places:
- The final answer is [tex]\(11.53 \, \text{mL}\)[/tex].
### Calculation 2: [tex]\(14.8 \, \text{mL} + 6.677 \, \text{mL}\)[/tex]
1. Identify significant digits:
- 14.8 has significant digits up to the tenth place.
- 6.677 has significant digits up to the thousandth place.
2. Determine the least number of decimal places:
- 14.8 has the least number of decimal places (1 decimal place).
3. Perform the addition:
- [tex]\(14.8 + 6.677 = 21.477\)[/tex]
4. Round the result to 1 decimal place:
- The final answer is [tex]\(21.5 \, \text{mL}\)[/tex].
### Calculation 3: [tex]\(18.727 \, \text{mL} + 17.6 \, \text{mL}\)[/tex]
1. Identify significant digits:
- 18.727 has significant digits up to the thousandth place.
- 17.6 has significant digits up to the tenth place.
2. Determine the least number of decimal places:
- 17.6 has the least number of decimal places (1 decimal place).
3. Perform the addition:
- [tex]\(18.727 + 17.6 = 36.327\)[/tex]
4. Round the result to 1 decimal place:
- The final answer is [tex]\(36.3 \, \text{mL}\)[/tex].
These steps will help ensure each answer respects the significant digits rule, giving us a precise and accurate result for each operation.
### Calculation 1: [tex]\(18.500 \, \text{mL} - 6.97 \, \text{mL}\)[/tex]
1. Identify significant digits:
- 18.500 has significant digits up to the thousandth place.
- 6.97 has significant digits up to the hundredth place.
2. Determine the least number of decimal places:
- 6.97 has the least number of decimal places (2 decimal places).
3. Perform the subtraction:
- [tex]\(18.500 - 6.97 = 11.530\)[/tex]
4. Round the result to 2 decimal places:
- The final answer is [tex]\(11.53 \, \text{mL}\)[/tex].
### Calculation 2: [tex]\(14.8 \, \text{mL} + 6.677 \, \text{mL}\)[/tex]
1. Identify significant digits:
- 14.8 has significant digits up to the tenth place.
- 6.677 has significant digits up to the thousandth place.
2. Determine the least number of decimal places:
- 14.8 has the least number of decimal places (1 decimal place).
3. Perform the addition:
- [tex]\(14.8 + 6.677 = 21.477\)[/tex]
4. Round the result to 1 decimal place:
- The final answer is [tex]\(21.5 \, \text{mL}\)[/tex].
### Calculation 3: [tex]\(18.727 \, \text{mL} + 17.6 \, \text{mL}\)[/tex]
1. Identify significant digits:
- 18.727 has significant digits up to the thousandth place.
- 17.6 has significant digits up to the tenth place.
2. Determine the least number of decimal places:
- 17.6 has the least number of decimal places (1 decimal place).
3. Perform the addition:
- [tex]\(18.727 + 17.6 = 36.327\)[/tex]
4. Round the result to 1 decimal place:
- The final answer is [tex]\(36.3 \, \text{mL}\)[/tex].
These steps will help ensure each answer respects the significant digits rule, giving us a precise and accurate result for each operation.
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