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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?

A. 5 pounds
B. 5.52 pounds
C. 6 pounds
D. 4.98 pounds

Sagot :

GinnyAnsweridn
To determine which measurement is more accurate but less precise than 5.3 pounds for a 4.5-pound brick, let's follow these logical steps:

### Step 1: Understand Accuracy and Precision
1. Accuracy refers to how close a measurement is to the true value.
2. Precision refers to how fine the measurement is, or how many significant digits it includes.

### Step 2: Identify the True Value
The true weight of the brick is 4.5 pounds.

### Step 3: List Given Measurements
We have the following measurements:
- 5.3 pounds
- 5 pounds
- 5.52 pounds
- 6 pounds
- 4.98 pounds

### Step 4: Evaluate Accuracy
To evaluate accuracy, we assess how close each measurement is to the true value of 4.5 pounds:

1. 5.3 pounds: Difference from the true value is [tex]\( |5.3 - 4.5| = 0.8 \)[/tex]
2. 5 pounds: Difference from the true value is [tex]\( |5 - 4.5| = 0.5 \)[/tex]
3. 5.52 pounds: Difference from the true value is [tex]\( |5.52 - 4.5| = 1.02 \)[/tex]
4. 6 pounds: Difference from the true value is [tex]\( |6 - 4.5| = 1.5 \)[/tex]
5. 4.98 pounds: Difference from the true value is [tex]\( |4.98 - 4.5| = 0.48 \)[/tex]

### Step 5: Determine the Most Accurate Measurement
From the differences calculated above, we see that:
- 4.98 pounds is the closest to the true weight with a difference of [tex]\( 0.48 \)[/tex] pounds.
- 5 pounds is also reasonably close with a difference of [tex]\( 0.5 \)[/tex] pounds.

### Step 6: Assess Precision to Find Measurement Less Precise than 5.3 Pounds
Among the measurements:
- 5.3 pounds is more precise due to the tenths place.
- 4.98 pounds is the most precise due to the hundredths place.
- 5 pounds is the least precise since it is a whole number.
- 5.52 pounds and 6 pounds are not as accurate.

### Final Decision
To find a measurement that is accurate but less precise than 5.3 pounds, we:
- Choose between the measurements close to the true value.
- Select the one with fewer significant digits for less precision.

Thus, 5 pounds is more accurate than 5.3 pounds and also less precise.

### Conclusion
The measurement that is more accurate but less precise than 5.3 pounds is:
5 pounds
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