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Chapter 9: Problem 13

Use a calculator to approximate to three decimal places. $$ \sqrt{48} $$

Short Answer

Expert verified
6.928

Step by step solution

01

Identify the Problem

The task is to approximate the square root of 48 to three decimal places.
02

Use a Calculator

Enter 48 into the calculator and press the square root (鈭�) function. This will give you the decimal value of the square root of 48.
03

Round the Result

Take the result from the calculator and round it to three decimal places. If the fourth decimal place is 5 or greater, round up the third decimal place by one.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

calculator usage
For this task, enter 48 and press the square root button. The calculator will compute the square root of 48, giving you a long decimal number.
rounding decimals
For example, if your calculator shows the square root of 48 as 6.92820323028, you鈥檒l look at the fourth decimal place which is '2'. Since '2' is less than 5, the final result rounded to three decimal places remains 6.928.
mathematical procedures
Rounding ensures that numbers are easier to work with while maintaining an acceptable level of accuracy. Especially in approximations, deciding how many decimal places to keep is based on how precise the result needs to be.

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