Task Sets: Choose appropriate accuracy - Common Core Math - HS Number and Quantity

Recall / Warm-Up

A scale always reads 0.5 kg higher than the true weight. Five measurements of a 10.0 kg object give: 10.5, 10.5, 10.5, 10.5, 10.5. Which statement correctly describes these measurements?

Precise and accurate — the readings are consistent and correct.

Precise but inaccurate — the readings are perfectly consistent (range = 0) but systematically 0.5 kg above the true value.

Accurate but imprecise — the readings are close to the true value on average.

Neither precise nor accurate — the readings are all different.

Five measurements of a 5.000 cm rod give the values: 5.12, 4.87, 5.23, 4.96, 5.08. The average is 5.05 cm. Which statement correctly classifies these measurements?

Precise and accurate — the average is close to the true value.

Precise but inaccurate — the readings cluster tightly but average above 5.000 cm.

Accurate but imprecise — the readings vary widely but average near the true value.

Neither — the readings are too spread out to classify.

Apply the significant figures counting rules. How many significant figures does each measurement have?

$0.0045$ m has ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ significant figures. $4.052$ kg has ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ significant figures. $4.500$ L has ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ significant figures.

sig figs in 0.0045:

sig figs in 4.052:

sig figs in 4.500:

Exercises: Choose a Level of Accuracy Appropriate to Limitations on Measurement When Reporting Quantities

Recall / Warm-Up

Fluency Practice