Estimating Square Roots and Ordering Numbers

The video tutorial guides students through ordering numbers from least to greatest, focusing on understanding and calculating the values of numbers with square roots. It begins with an introduction to the task, followed by a detailed explanation of square roots and their values. The tutorial then demonstrates the calculation of specific square roots, such as √5, √13, and √8, and concludes with the final ordering of numbers, identifying 2.9 as the number for the yellow box.

What is the first step in ordering numbers from least to greatest?

• Multiply all numbers

• Add all numbers together

• Evaluate the square roots

• Identify the largest number

Which two perfect squares are used to estimate the value of √5?

• 1 and 4

• 16 and 25

• 4 and 9

• 9 and 16

What is the approximate value of √5?

• 2.8

• 3.1

• 2.2

• 2.5

Which two perfect squares are used to estimate the value of √13?

• 9 and 16

• 4 and 9

• 16 and 25

• 1 and 4

What is the approximate value of √13?

• 3.2

• 3.8

• 3.4

• 3.6

Which two perfect squares are used to estimate the value of √8?

• 4 and 9

• 1 and 4

• 16 and 25

• 9 and 16

What is the approximate value of √8?

• 3.0

• 2.4

• 2.6

• 2.8

Which number is the smallest in the final ordered list?

• 2.9

• 3.6

• 3.2

• 2.2

Which number is placed in the yellow box?

• 2.2

• 3.2

• 3.6

• 2.9

What is the correct order of the numbers from least to greatest?

• 3.6, 3.2, 2.9, 2.8, 2.2

• 2.8, 2.2, 3.6, 3.2, 2.9

• 2.9, 2.2, 3.2, 2.8, 3.6

• 2.2, 2.8, 2.9, 3.2, 3.6