If you're seeing this message, it means we're having trouble loading external resources on our website.

Agar veb-filtrlardan foydalanayotgan boʻlsangiz *.kastatic.org va *.kasandbox.org domenlariga ruxsat berilganligini tekshirib koʻring.

Asosiy kontent

Course: 8-sinf > Unit 1

Lesson 4: Approximating irrational numbers
Matematika
8-sinf
Numbers and operations
Approximating irrational numbers
© 2024 Khan AcademyFoydalanish shartlariMaxfiylik siyosatiCookie Notice

Approximating square roots walk through

Google sinfxona
Walk through a series of questions and examples that will help you learn how to approximate square roots.
In this article, you'll learn how to approximate square roots! Let's dive in.

Misol

Spot the pattern:
(25)2=25
(6)2=6
(9482)2=9482

Sinov savoli

When you square the square root of a number...
Bitta javobni tanlang:

Practice Set 1:

1A-misol

(16)2=
  • Javobingiz quyidagicha boʻlishi kerak:
  • 6 kabi butun son
  • 3/5 kabi soddalashtirilga toʻgʻri kasr
  • 7/4 kabi soddalashtirilgan notoʻgʻri kasr
  • 1 3/4 kabi aralash son
  • 0.75 kabi aniq oʻnli kasr
  • 12 pi yoki 2/3 pi kabi pi ning karralisi

Misol:

Without using a calculator, order the following numbers from least to greatest.
30, 5, 6
Step 1: Square each of the numbers:
n:3056
n2:302536
Step 2: Order the numbers from least to greatest:
n:5306
n2:253036
The answer:
5306

Sinov savoli

When ordering square roots and integers, which of the following is the best strategy?
For example: 6,28,5.
Bitta javobni tanlang:

Practice Problem 2:

Without using a calculator, order the following numbers from least to greatest.
1

Misol

Without using a calculator, find two consecutive integers to complete the following inequality.
?<97<?
Step 1: Create a table of perfect squares.
n:7891011
n2:496481100121
Step 2: Ask yourself, "Where does n=97 fit into the table?"
n:789971011
n2:49648197100121
Javob:
9<97<10

Practice Problem 3:

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.
  • Javobingiz quyidagicha boʻlishi kerak:
  • 6 kabi butun son
  • 3/5 kabi soddalashtirilga toʻgʻri kasr
  • 7/4 kabi soddalashtirilgan notoʻgʻri kasr
  • 1 3/4 kabi aralash son
  • 0.75 kabi aniq oʻnli kasr
  • 12 pi yoki 2/3 pi kabi pi ning karralisi
<56<
  • Javobingiz quyidagicha boʻlishi kerak:
  • 6 kabi butun son
  • 3/5 kabi soddalashtirilga toʻgʻri kasr
  • 7/4 kabi soddalashtirilgan notoʻgʻri kasr
  • 1 3/4 kabi aralash son
  • 0.75 kabi aniq oʻnli kasr
  • 12 pi yoki 2/3 pi kabi pi ning karralisi

Muhokamaga qoʻshilmoqchimisiz?

Kirish
Hozircha izohlar yoʻq.
Ingliz tilini tushunasizmi? Khan Academyʼning inglizcha saytida boʻlayotgan muhokamalarni koʻrish uchun shu yerga bosing.