Estimating Square Roots and Decimals

This video tutorial covers Lesson 1.3 on comparing and ordering real numbers. It explains how to convert irrational numbers to decimals for easier comparison and ordering. The lesson includes examples of approximating square roots and plotting them on a number line. It also covers comparing and ordering numbers from least to greatest, including handling negative square roots. The tutorial concludes with a final example and summary of the key concepts.

What is the approximate decimal value of the square root of 2 when rounded to the tenths place?

• 1.42

• 1.4

• 1.5

• 1.41

If the square root of 39 is approximated to the nearest whole number, what is the result?

• 6

• 8

• 7

• 5

Which of the following is larger: 5.7145 or the square root of 29?

• Cannot be determined

• They are equal

• 5.7145

• Square root of 29

Order the following numbers from least to greatest: -5.6, 3.9, 4.6, 5.2.

• 4.6, 3.9, -5.6, 5.2

• 5.2, 4.6, 3.9, -5.6

• 3.9, -5.6, 4.6, 5.2

• -5.6, 3.9, 4.6, 5.2

Which number is greater: 5.2 or the square root of 21?

• They are equal

• Cannot be determined

• 5.2

• Square root of 21

Where should the square root of 15 be plotted on a number line?

• 4.1

• 4.0

• 3.9

• 3.8

Which of the following is the smallest number: square root of 5, 2.3, 2.5, square root of 8?

• 2.3

• Square root of 8

• Square root of 5

• 2.5

What is the decimal approximation of 2 and 1/3?

• 2.3

• 2.2

• 2.333...

• 2.1

What is the approximate value of the negative square root of 23 rounded to the nearest tenth?

• -4.7

• -5.0

• -4.8

• -4.9

If the square root of 31 is rounded to the nearest whole number, what is the result?

• 8

• 5

• 6

• 7