Question

identify which balance was used to make each mass reading. 1.230 g choose... 4.0000 g choose... 6.539 g choose... 5.43 g choose... 0.90 g choose... a balance with ±0.0001 g tolerance a balance with ±0.01 g tolerance a balance with ±0.001 g tolerance

Explanation:

To solve this, we analyze the number of decimal places (precision) of each mass reading and match it to the balance's tolerance:

For \( 1.230 \, \text{g} \):

• It has 3 decimal places (precision to \( 0.001 \, \text{g} \)).
• A balance with \( \pm 0.001 \, \text{g} \) tolerance can measure to the thousandth of a gram (3 decimal places).

For \( 4.0000 \, \text{g} \):

• It has 4 decimal places (precision to \( 0.0001 \, \text{g} \)).
• A balance with \( \pm 0.0001 \, \text{g} \) tolerance can measure to the ten - thousandth of a gram (4 decimal places).

For \( 6.539 \, \text{g} \):

• It has 3 decimal places (precision to \( 0.001 \, \text{g} \)).
• A balance with \( \pm 0.001 \, \text{g} \) tolerance can measure to the thousandth of a gram (3 decimal places).

For \( 5.43 \, \text{g} \):

• It has 2 decimal places (precision to \( 0.01 \, \text{g} \)).
• A balance with \( \pm 0.01 \, \text{g} \) tolerance can measure to the hundredth of a gram (2 decimal places).

For \( 0.90 \, \text{g} \):

• It has 2 decimal places (precision to \( 0.01 \, \text{g} \)).
• A balance with \( \pm 0.01 \, \text{g} \) tolerance can measure to the hundredth of a gram (2 decimal places).

Final Answers:

• \( 1.230 \, \text{g} \): A balance with \( \pm 0.001 \, \text{g} \) tolerance
• \( 4.0000 \, \text{g} \): A balance with \( \pm 0.0001 \, \text{g} \) tolerance
• \( 6.539 \, \text{g} \): A balance with \( \pm 0.001 \, \text{g} \) tolerance
• \( 5.43 \, \text{g} \): A balance with \( \pm 0.01 \, \text{g} \) tolerance
• \( 0.90 \, \text{g} \): A balance with \( \pm 0.01 \, \text{g} \) tolerance

Answer:

To solve this, we analyze the number of decimal places (precision) of each mass reading and match it to the balance's tolerance:

For \( 1.230 \, \text{g} \):

• It has 3 decimal places (precision to \( 0.001 \, \text{g} \)).
• A balance with \( \pm 0.001 \, \text{g} \) tolerance can measure to the thousandth of a gram (3 decimal places).

For \( 4.0000 \, \text{g} \):

• It has 4 decimal places (precision to \( 0.0001 \, \text{g} \)).
• A balance with \( \pm 0.0001 \, \text{g} \) tolerance can measure to the ten - thousandth of a gram (4 decimal places).

For \( 6.539 \, \text{g} \):

• It has 3 decimal places (precision to \( 0.001 \, \text{g} \)).
• A balance with \( \pm 0.001 \, \text{g} \) tolerance can measure to the thousandth of a gram (3 decimal places).

For \( 5.43 \, \text{g} \):

• It has 2 decimal places (precision to \( 0.01 \, \text{g} \)).
• A balance with \( \pm 0.01 \, \text{g} \) tolerance can measure to the hundredth of a gram (2 decimal places).

For \( 0.90 \, \text{g} \):

• It has 2 decimal places (precision to \( 0.01 \, \text{g} \)).
• A balance with \( \pm 0.01 \, \text{g} \) tolerance can measure to the hundredth of a gram (2 decimal places).

Final Answers:

• \( 1.230 \, \text{g} \): A balance with \( \pm 0.001 \, \text{g} \) tolerance
• \( 4.0000 \, \text{g} \): A balance with \( \pm 0.0001 \, \text{g} \) tolerance
• \( 6.539 \, \text{g} \): A balance with \( \pm 0.001 \, \text{g} \) tolerance
• \( 5.43 \, \text{g} \): A balance with \( \pm 0.01 \, \text{g} \) tolerance
• \( 0.90 \, \text{g} \): A balance with \( \pm 0.01 \, \text{g} \) tolerance