/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 24 Use a calculator to approximate ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 24

Use a calculator to approximate to three decimal places. $$ \sqrt{220} $$

Short Answer

Expert verified
The approximate value of \( \sqrt{220} \) is 14.832.

Step by step solution

01

Identify the Operation

Recognize that the operation needed is finding the square root of 220.
02

Use a Calculator

Turn on the calculator and input 220. Then, find the square root function (usually labeled as \( \sqrt{} \) or \( \sqrt{x} \)) and press it to compute the square root of 220.
03

Approximate to Three Decimal Places

The calculator will display the result. Round this result to three decimal places, if necessary.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

using a calculator
To solve problems like finding the square root of 220, using a calculator makes the process easier and faster. First, ensure your calculator is turned on. Input the number 220 by pressing the digit keys.
Next, locate the square root function button, which is often labeled as \( \sqrt{\text{}} \) or \( \sqrt{x} \). Press this button to perform the square root operation.
Most modern calculators will instantly display the result. Remember, using a calculator correctly is crucial to ensure accuracy in your computations.
approximating decimals
Approximating decimals is a key skill when working with non-integer results. After your calculator gives you the square root result, it might have several decimal places. For example, the square root of 220 might appear as 14.832396.
To approximate this value to three decimal places, look at the fourth decimal place. If it is 5 or higher, round the third decimal place up. If it is 4 or lower, keep the third decimal place the same.
  • For instance, if the calculator shows 14.832396, you will look at 6 (the fourth decimal).
  • Since 6 is greater than 5, you round the third decimal (2) up to 3.
Hence, the approximate value to three decimal places would be 14.833.
mathematical operations
Understanding mathematical operations is fundamental when solving problems. Calculators help execute complex operations like square roots, but knowing the theory helps you understand why you get certain results.
For example, the square root operation \( \sqrt{x} \) finds a number that, when multiplied by itself, equals x. In our case, \( \sqrt{220} \) gives a number which, when squared, approximates 220.
Performing operations accurately is essential to ensure your final results are correct. Always double-check your steps, and make sure your calculator is set to the proper mode to handle decimals correctly.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve. Use 3.14 for \(\pi\) Quiet Designs plans to incorporate a circular pond with a diameter of \(30 \mathrm{ft}\) in a landscape design. The pond will be edged using stone pavers. How many feet of pavers will be needed?

Use a calculator to approximate to three decimal places. $$ \sqrt{7} $$

For a performance at an outdoor event, a folk music group rented a triangular tent. The base of the tent was \(20 \mathrm{ft}\) and the height was \(17 \frac{1}{2} \mathrm{ft}\), and it was placed in a corner of a small park that measured \(200 \mathrm{ft}\) by \(200 \mathrm{ft}\). Approximately how much of the park space was left for the audience.

Simplify. $$ \sqrt{484} $$

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

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.