Given a scale tolerance of ±0.05 kg, does a reading of 9.95 kg meet a stated weight of 10.0 kg?

Given a scale tolerance of ±0.05 kg, does a reading of 9.95 kg meet a stated weight of 10.0 kg?

• A. Yes, because 9.95 kg is within the tolerance of 10.0 kg.
• B. No, it is outside the tolerance.
• C. Yes, but only if the scale is calibrated recently.
• D. It depends on decimal rounding conventions.

Answer: (A)

Tolerance of ±0.05 kg means you can be off by up to 0.05 kg in either direction from the stated weight. For 10.0 kg, the acceptable range is 9.95 kg to 10.05 kg. A reading of 9.95 kg is right at the lower edge, which is still within the allowed tolerance, so it meets the stated weight. The other options either misstate the boundary or bring in calibration or rounding as a condition, which isn’t necessary to determine whether the reading falls within the specified tolerance.

Tolerance of ±0.05 kg means you can be off by up to 0.05 kg in either direction from the stated weight. For 10.0 kg, the acceptable range is 9.95 kg to 10.05 kg. A reading of 9.95 kg is right at the lower edge, which is still within the allowed tolerance, so it meets the stated weight. The other options either misstate the boundary or bring in calibration or rounding as a condition, which isn’t necessary to determine whether the reading falls within the specified tolerance.