Is $$\frac{3}{4}$$ a rational number?

Yes, $$\frac{3}{4}$$ is a rational number because it can be expressed as a fraction of two integers.

Is $$\frac{22}{7}$$ an irrational number?

No, $$\frac{22}{7}$$ is a rational number because it can be expressed as a fraction of two integers.

Is $$\frac{-1}{2}$$ a rational number?

Yes, $$\frac{-1}{2}$$ is a rational number because it can be expressed as a fraction of two integers.

What is the decimal representation of an irrational number?

The decimal representation of an irrational number is non-repeating and non-terminating, such as 3.14159... (the value of π).

Which of the following is an irrational number: $$\frac{1}{3}$$ , $$\frac{22}{7}$$ , or $$\frac{\text{√8}}{1}$$ ?

$$\frac{\text{√8}}{1}$$ is an irrational number.

What is the definition of an integer?

An integer is a whole number that can be positive, negative, or zero, but cannot be a fraction or decimal.

Is 81 a perfect square?

Yes, 81 is a perfect square because it is equal to 9 squared (9 x 9).

What is the square root of 3?

The square root of 3 is an irrational number, approximately equal to 1.732.

Is 0.5 a rational number?

Yes, 0.5 is a rational number because it can be expressed as $$\frac{1}{2}$$ .

What is the difference between rational and irrational numbers?

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal representations.

Which of the following is a rational number: π, 0.75, or √12?

0.75 is a rational number because it can be expressed as $$\frac{3}{4}$$ .

What is the significance of perfect squares in mathematics?

Perfect squares are important in various areas of mathematics, including algebra, geometry, and number theory, as they relate to the properties of numbers and their factors.

Real Numbers Review Flashcards

Student preview

16 questions

Show all answers

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-repeating and non-terminating.

2.

FLASHCARD QUESTION

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.

3.

FLASHCARD QUESTION

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the square root of 25?

Back

The square root of 25 is 5, which is a rational number.

7.

FLASHCARD QUESTION

Front

Back

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