Understanding Square Roots and Number Lines

This video tutorial teaches how to compare and order rational and irrational numbers on a number line. It covers placing numbers like Pi, decimals, fractions, and square roots on the number line, explaining their positions relative to whole numbers. The video also demonstrates converting fractions to decimals and ordering numbers from least to greatest. The lesson concludes with a summary of the key concepts and comparisons made throughout the tutorial.

What is the approximate value of pi and where does it lie on the number line?

• 3.14, between 2 and 3

• 3.14, exactly at 4

• 3.14, between 3 and 4

• 3.14, exactly at 3

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Where does the number 2.85 fall on the number line?

• Between 4 and 5

• Between 3 and 4

• Between 2 and 3

• Between 1 and 2

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Which two whole numbers does 4.7 fall between?

• 6 and 7

• 5 and 6

• 4 and 5

• 3 and 4

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The square root of 24 is closest to which whole number?

• 4

• 3

• 6

• 5

What is the mixed number form of 25/3?

• 8 2/3

• 7 2/3

• 9 1/3

• 8 1/3

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Arrange the following from least to greatest: 2.85, pi, 4.7, square root of 24, 25/3.

• 2.85, pi, 4.7, square root of 24, 25/3

• pi, 2.85, 4.7, square root of 24, 25/3

• 4.7, 2.85, pi, square root of 24, 25/3

• 25/3, square root of 24, 4.7, pi, 2.85

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What is the value of the square root of 64?

• 8

• 7

• 6

• 9

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Between which two whole numbers does the square root of 10 lie?

• 5 and 6

• 4 and 5

• 3 and 4

• 2 and 3

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Which number is greater: the square root of 56 or the square root of 10?

• Square root of 10

• Square root of 56

• Cannot be determined

• They are equal

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Arrange the following from greatest to least: square root of 64, square root of 56, square root of 10, 1.96.

• 1.96, square root of 10, square root of 56, square root of 64

• Square root of 10, 1.96, square root of 56, square root of 64

• Square root of 64, square root of 56, square root of 10, 1.96

• Square root of 56, square root of 64, square root of 10, 1.96

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