Which of the following numbers is not rational: -3, 2.7, $$\sqrt{4}$$ , $$\sqrt{5}$$ ?

$$\sqrt{5}$$ is not a rational number because it cannot be expressed as a fraction.

What is the approximate value of $$\sqrt{40}$$ ?

$$\sqrt{40}$$ is between 6 and 7.

How do you evaluate $$9^9 / 9^5$$ using the quotient rule?

Using the quotient rule: $$9^{9-5} = 9^4$$ .

What is the area of a square with side length 6.3?

The area is calculated as $$A = s^2 = 6.3^2 = 39.69$$ .

What is the square root of 4?

$$\sqrt{4} = 2$$ , which is a rational number.

How do you determine if a number is rational or irrational?

A number is rational if it can be expressed as a fraction; it is irrational if it cannot.

What is the relationship between the area and side length of a square?

The area of a square is equal to the side length squared: $$A = s^2$$ .

What is the decimal representation of 1/3?

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.

How do you approximate square roots?

To approximate square roots, find two perfect squares between which the number lies and estimate the value.

12/6 Pre Algebra Review FLASHCARD Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a repeating decimal?

Back

A repeating decimal is a rational number that can be expressed as a fraction, where the decimal representation has a repeating pattern.

2.

FLASHCARD QUESTION

Front

What is the quotient rule in exponents?

Back

3.

FLASHCARD QUESTION

Front

How do you find the side length of a square given its area?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define a rational number.

Back

7.

FLASHCARD QUESTION

Front

What is an irrational number?

Back

An irrational number cannot be expressed as a simple fraction; its decimal representation is non-repeating and non-terminating.

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