Estimating and Comparing Square Roots

This video tutorial covers lesson 14.4 on approximating square roots. It is divided into three main parts: classifying numbers, estimating square roots, and comparing square roots. The lesson begins with an introduction to irrational numbers and their characteristics, followed by a diagram to help understand different types of numbers. The tutorial then moves on to estimating square roots by finding the closest decimal approximation. Finally, it discusses comparing square roots and ordering numbers based on their values.

Which of the following is an irrational number?

• π

• 0.5

• 4

• 2

What type of number is -3?

• Natural number

• Whole number

• Irrational number

• Integer

Tags

CCSS.8.NS.A.1

Why is the square root of 12 considered irrational?

• It is a perfect square

• It can be written as a fraction

• It does not repeat or terminate

• It is a whole number

Which of the following is a rational number?

• π

• Square root of 10

• 0.333...

• Square root of 2

Tags

CCSS.8.NS.A.2

What is the estimated value of the square root of 8 to the nearest tenth?

• 2.5

• 2.8

• 3.0

• 3.2

Tags

CCSS.8.NS.A.2

Between which two integers does the square root of 110 lie?

• 11 and 12

• 10 and 11

• 12 and 13

• 9 and 10

Tags

CCSS.8.NS.A.2

What is the estimated value of the square root of 33.3 to the nearest tenth?

• 6.0

• 6.2

• 5.5

• 5.8

Tags

CCSS.8.NS.A.2

Which of the following is greater: 4.2 or the square root of 23?

• 4.2

• Square root of 23

• Cannot be determined

• Both are equal

Tags

CCSS.8.NS.A.2

What is the approximate value of the square root of 10?

• 3.5

• 3.2

• 2.5

• 3.0

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Which number is always greater: a positive number or a negative number?

• Both are equal

• Negative number

• Positive number

• Cannot be determined

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B