Estimating Square Roots and Calculator Use

The video tutorial demonstrates how to estimate square roots using a calculator, rounding to the nearest hundredths. It provides examples with the square roots of 8, 62, and 4.3, explaining the process of calculation and verification by squaring the results to check their accuracy. The tutorial emphasizes understanding the approximation and rounding process.

What is the purpose of using a calculator in estimating square roots?

• To find the exact value of square roots

• To estimate square roots to the nearest hundredths

• To avoid manual calculations

• To check if a number is a perfect square

Which key sequence is used to find the square root of a number on a calculator?

• Press the number, then X2

• Press X2, then second, followed by the number

• First, press X2, then the number

• Press second, then X2, followed by the number

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CCSS.8.NS.A.2

What is the approximate square root of 8 when rounded to the nearest hundredths?

• 2.83

• 2.85

• 2.84

• 2.82

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CCSS.8.NS.A.2

Why is the square of 2.83 slightly larger than 8?

• Because 2.83 is an underestimate

• Because 2.83 is an overestimate

• Because 2.83 is rounded down

• Because 2.83 is the exact square root

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CCSS.8.NS.A.2

What is the approximate square root of 62 when rounded to the nearest hundredths?

• 7.86

• 7.88

• 7.87

• 7.89

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CCSS.8.NS.A.2

Why is the square of 7.87 slightly less than 62?

• Because 7.87 is the exact square root

• Because 7.87 is an underestimate

• Because 7.87 is rounded up

• Because 7.87 is an overestimate

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CCSS.8.NS.A.2

Which number is closest to 62, helping to estimate its square root?

• 63

• 60

• 64

• 61

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CCSS.8.NS.A.2

What is the approximate square root of 4.3 when rounded to the nearest hundredths?

• 2.09

• 2.07

• 2.08

• 2.06

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

Why is the square of 2.07 slightly less than 4.3?

• Because 2.07 is the exact square root

• Because 2.07 is rounded up

• Because 2.07 is an underestimate

• Because 2.07 is an overestimate

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CCSS.8.NS.A.2

Which number is closest to 4.3, helping to estimate its square root?

• 4.5

• 3

• 5

• 4

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CCSS.8.NS.A.2