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Name Date Approximations of Irrational Numbers Independent Practice WorksheetComplete all the problems. Make sure to draw pictures to help you solve the problems. 1. Find the approximation of 66 2.

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Estimating Irrational Numbers Count up until you hit a square root that works. Count down until you hit a square root that works. Square root the high and low number, then graph their points on a number line. Your estimate should be somewhere between those two numbers. Example:

Note that all rational numbers are algebraic, because pq is a root of the polynomial qx−p. An irrational algebraic expression is an algebraic expression (Wikipedia: Algebraic expression) that contains a root sign or a power with broken rational exponent and is not a rational expression .

Example: π (Pi) is a famous irrational number. We cannot write down a simple fraction that equals Pi. The popular approximation of 22/7 = 3.1428571428571... is close but not accurate. Another clue is that the decimal goes on forever without repeating.

The real numbers which cannot be expressed in the form of p/q, where p and q are integers and q ≠ 0 are known as irrational numbers. For example √2 and √ 3 etc. are irrational. Whereas any number which can be represented in the form of p/q, such that, p and q are integers and q ≠ 0 is known as a rational number.

The irrational number between 4 and 6 is √20. Step-by-step explanation: You know that 4 is √16, and 6 is √36.

We can prove that the square root of any prime number is irrational. So √2, √3, √5, √7, √11, √13, √17, √19 … are all irrational numbers.

Hence, the two irrational numbers between 5 and 6 are √32,√33.

Between any two rational numbers there are infinite numbers of irrational numbers. Thus, there are infinite irrational numbers between 2 and 6.

8. NS. 2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

So, the correct answer is “infinite ”.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232