What is the value of $$\frac{1}{3}$$ in decimal form?

The value of $$\frac{1}{3}$$ in decimal form is approximately 0.333..., which is a repeating decimal.

What is the decimal expansion of $$\frac{18}{23}$$ ?

The decimal expansion of $$\frac{18}{23}$$ is approximately 0.7826, which eventually repeats.

Explain why $$\frac{18}{23}$$ is a rational number.

$$\frac{18}{23}$$ is a rational number because it can be expressed as a fraction of two integers, and its decimal expansion eventually repeats.

What is the difference between rational and irrational numbers?

Rational numbers can be expressed as fractions and have decimal expansions that either terminate or repeat, while irrational numbers cannot be expressed as fractions and have non-terminating, non-repeating decimal expansions.

What is the square root of 16?

The square root of 16 is 4, since $$4^2 = 16$$ .

What does it mean for a decimal to be non-terminating?

A non-terminating decimal is a decimal that goes on forever without repeating a pattern, such as the decimal representation of pi (π).

Provide an example of a rational number.

An example of a rational number is $$\frac{1}{2}$$ , which can be expressed as a fraction.

What is the value of $$\frac{1}{4}$$ in decimal form?

The value of $$\frac{1}{4}$$ in decimal form is 0.25, which is a terminating decimal.

What is the significance of the number 0 in rational numbers?

The number 0 is a rational number because it can be expressed as $$\frac{0}{1}$$ .

AJH 8Math Winter BM Review #1 2024-25 Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

2.

FLASHCARD QUESTION

Front

Identify an example of an irrational number.

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is a perfect square?

Back

5.

FLASHCARD QUESTION

Front

Which number is a perfect square: 15, 16, 18, or 20?

Back

The perfect square among these numbers is 16.

6.

FLASHCARD QUESTION

Front

What is the cube root of 27?

Back

7.

FLASHCARD QUESTION

Front

Define a rational number.

Back

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