What is the approximate value of $$\text{sqrt}(49)$$ ?

The approximate value of $$\text{sqrt}(49)$$ is 7.

What is the approximate value of $$\text{sqrt}(64)$$ ?

The approximate value of $$\text{sqrt}(64)$$ is 8.

If $$\text{sqrt}(x)$$ is between 8 and 9, what is the range of x?

If $$\text{sqrt}(x)$$ is between 8 and 9, then x is between 64 and 81.

What is the significance of estimating square roots?

Estimating square roots helps in understanding the size and value of irrational numbers, which is useful in various mathematical applications.

How do you determine which point on a number line represents a square root?

To determine which point represents a square root on a number line, convert the square root to a decimal and find the closest whole number.

What is the decimal approximation of $$\text{sqrt}(47)$$ ?

The decimal approximation of $$\text{sqrt}(47)$$ is approximately 6.86.

What is the relationship between perfect squares and square roots?

Perfect squares are numbers that can be expressed as the square of an integer, and their square roots are the integers themselves. For example, 16 is a perfect square, and $$\text{sqrt}(16) = 4$$ .

How can you use a number line to approximate square roots?

You can use a number line to approximate square roots by marking the perfect squares and identifying where the square root falls between them.

What is the approximate value of $$\text{sqrt}(81)$$ ?

The approximate value of $$\text{sqrt}(81)$$ is 9.

Why is it important to understand irrational numbers in mathematics?

Understanding irrational numbers is important because they appear in various mathematical contexts, including geometry, algebra, and calculus, and are essential for solving real-world problems.

What is the approximate value of $$\text{sqrt}(100)$$ ?

The approximate value of $$\text{sqrt}(100)$$ is 10.

8.2B Approximating Irrational Numbers Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an irrational number?

Back

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

How do you approximate the square root of a number?

Back

Tags

CCSS.8.NS.A.2

3.

FLASHCARD QUESTION

Front

What is the square root of 88.6 approximately?

Back

The square root of 88.6 is approximately between 9 and 10.

Tags

CCSS.8.NS.A.2

4.

FLASHCARD QUESTION

Front

How can you convert a square root to a decimal?

Back

Tags

CCSS.8.NS.A.2

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.NS.A.2

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.NS.A.2

7.

FLASHCARD QUESTION

Front

Back

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