Both the approximation made by Jen and her brother are correct.
Further explanation:
The question is based on the concept of technique of approximation or rounding off.
In the question it is given that the Jen's pedometer showed the total walking distance of [tex]2.549\text{ miles}[/tex].
The objective of performing approximation or rounding off is to eliminate the decimal places upto a certain level in order to make the calculation much easier.
For example: Consider the number as [tex]838.274[/tex].
If it is asked to round off the number [tex]838.274[/tex] to nearest one then the number becomes as [tex]838[/tex] it is because the digit to right side of decimal i.e., [tex]2[/tex] is less than [tex]5[/tex].
Similarly, if it is asked to round off the number [tex]838.274[/tex] to nearest hundred then the number becomes [tex]800[/tex] and rounding off to nearest hundreth then the number becomes [tex]838.27[/tex].
As per the question Jen rounded off the number [tex]2.549[/tex] to nearest one as [tex]3[/tex] and her brother rounded off the same number to nearest hundreth as [tex]2.5[/tex].
As per the above observation it is concluded that the both the approximations done are correct but the only difference lies in the accuracy of the pedometer reading.
The technique of approximation or rounding off is used to obtain the accuracy upto certain decimal places.
Learn more:
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3. Inverse function https://brainly.com/question/1632445
Answer details
Grade: Middle school
Subject: Mathematics
Topic: Estimation and approximation
Keywords: estimation, approximation, jen, brother, 2.5, 3, accuracy, round off, rounding off, nearest hundred, nearest hundreth, nearest one, nearest tens, nearest tenth.
