Question
(Total for Question 3 is 3 marks) 4 Kiera used her calculator to work out the value of a number \( x \). She wrote down the first two digits of the answer on her calculator. She wrote down 7.3 Write down the error interval for \( x \).
Ask by Tyler John. in the United Kingdom
Mar 09,2025
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Answer
The error interval for \( x \) is from 7.25 to just below 7.35.
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When Kiera wrote down 7.3, she likely rounded the value of \( x \) to the first two significant figures. The actual number can be anywhere from 7.25 to 7.35, given that 7.3 effectively represents numbers rounded to the nearest hundredth. Thus, to express this as an error interval, we can say: The error interval for \( x \) is \( 7.25 < x < 7.35 \). This means \( x \) could be any value within that range, capturing the variability that comes with rounding!