QUESTION IMAGE
Question
a scale measured a 4.5 - pound brick as weighing 5.3 pounds. which measurement is more accurate but less precise than 5.3 pounds?
4.98 pounds
5 pounds
5.52 pounds
6 pounds
Step1: Calculate absolute - value of differences
The actual weight of the brick is 4.5 pounds. Calculate the absolute - value of the difference between the actual weight and each option:
For 4.98 pounds: $|4.98 - 4.5|=0.48$
For 5 pounds: $|5 - 4.5| = 0.5$
For 5.52 pounds: $|5.52 - 4.5|=1.02$
For 6 pounds: $|6 - 4.5| = 1.5$
The smaller the absolute - value of the difference, the more accurate the measurement.
Step2: Analyze precision
5.3 pounds is precise to the tenths place. 4.98 pounds is precise to the hundredths place, so it is more precise than 5.3 pounds. 5 pounds is precise to the ones place, which is less precise than 5.3 pounds. 5.52 pounds is precise to the hundredths place, more precise than 5.3 pounds. 6 pounds is precise to the ones place. Among the values with less precision than 5.3 pounds (5 pounds and 6 pounds), 5 pounds has a smaller absolute - value of the difference from 4.5 pounds.
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B. 5 pounds