The edge of the ball falls the marks for 13 feet 10 1/8 inches and 13 feet 10 1/4 inchess, so he rounds to the eighth of an inch closest to where his ball landed, which is 13 feet 10 1/8 inches. At her school, Lacey fires her cataplult and measures the distance. Her distance falls between the same two marks, but she reports her distance as 13 feet 10 3/16 inches and claims she’s won.

a. What measurement error did Lacey make?

b. The judges declare a tie, but is it possible that Randal would have won if they used a measuring tape with higher precision? Explain why or why not.

1 answer

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Did you know?

Did you know that when measuring distances, it's important to be precise? In the given scenario, Lacey made a measurement error by reporting her distance as 13 feet 10 3/16 inches. The correct measurement falls between the marks 13 feet 10 1/8 inches and 13 feet 10 1/4 inches. When evaluating if Randal would have won if a measuring tape with higher precision was used, it's important to consider the rounding method used. Randal rounded his measurement to the eighth of an inch closest to where his ball landed, which was 13 feet 10 1/8 inches. If a measuring tape with higher precision was used, it would have provided more decimal places but the rounded measurement would remain the same. Therefore, even with a measuring tape with higher precision, the result would still be a tie.