Question

A sprinter completed a 100 m run with a time of 14.48 seconds.Her time,t, has been rounded to the nearest hundredth of a second.Write the error interval fortin the forma≤t

Answer 1

Using rounding concepts, the error interval is given by:

$14.475 \leq t < 14.485$

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When a number is rounded to the nearest hundredth:

• If the thousandth digit is greater than 5, 1 is added to the hundredths digit.
• Otherwise, the hundredths digit stays the same.

In this problem:

• Time of 14.48 seconds, rounded to the nearest hundredth.
• Considering the thousandth digit, times of 14.475 or greater, and less than 14.485, are rounded to 14.48, thus, the interval is:

$14.475 \leq t < 14.485$

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