Estimating Real Numbers on a Number Line

The video tutorial explains how to estimate real numbers on a number line by converting them to decimals and rounding to the nearest hundredth. It provides several examples, including negative square roots, fractions, mixed numbers, and repeating decimals, demonstrating how to place these numbers accurately on a number line.

Why is it important to convert real numbers to decimals when estimating their position on a number line?

• Decimals are always positive.

• Decimals are easier to compare.

• Decimals are more accurate.

• Decimals are easier to add.

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What is the first step in estimating the position of a real number on a number line?

• Finding the square root of the number.

• Multiplying the number by 10.

• Converting the number to a decimal.

• Converting the number to a fraction.

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What is the rounded value of the negative square root of 122 to the nearest hundredth?

• -11.04

• -11.05

• -11.07

• -11.06

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CCSS.8.EE.A.2

Between which two integers does -11.05 lie on the number line?

• -13 and -12

• -11 and -10

• -12 and -11

• -10 and -9

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What is the rounded value of the square root of 92.5 to the nearest hundredth?

• 9.64

• 9.61

• 9.62

• 9.63

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CCSS.8.NS.A.2

Between which two integers does 9.62 lie on the number line?

• 8 and 9

• 9 and 10

• 10 and 11

• 11 and 12

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CCSS.6.NS.C.6C

What is the rounded value of the square root of 56.2 to the nearest hundredth?

• 7.48

• 7.49

• 7.50

• 7.51

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CCSS.8.NS.A.2

What is the rounded value of negative eight ninths to the nearest hundredth?

• -0.88

• -0.89

• -0.90

• -0.91

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What is the rounded value of negative four pi to the nearest hundredth?

• -12.54

• -12.57

• -12.55

• -12.56

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CCSS.8.NS.A.2

What is the rounded value of 67.5 percent to the nearest hundredth?

• 0.70

• 0.69

• 0.68

• 0.67