How do you divide a rational number by another rational number?

To divide a rational number by another, multiply by the reciprocal of the divisor. For example, $$\frac{1}{2} \text{ divided by } \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}$$ .

What is the absolute value of a rational number?

The absolute value of a rational number is its distance from zero on the number line, regardless of direction. For example, $$|-3| = 3$$ and $$|2.5| = 2.5$$ .

What is the difference between a proper fraction and an improper fraction?

A proper fraction has a numerator smaller than its denominator (e.g., $$\frac{3}{4}$$ ), while an improper fraction has a numerator larger than or equal to its denominator (e.g., $$\frac{5}{4}$$ ).

What is the result of $$\frac{5}{9} + -\frac{3}{4}$$ ?

The result is $$-\frac{7}{36}$$ .

What is the sum of two rational numbers with the same denominator?

To add two rational numbers with the same denominator, simply add the numerators and keep the denominator the same. For example, $$\frac{2}{5} + \frac{3}{5} = \frac{5}{5} = 1$$ .

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 simple fractions (e.g., $$\frac{1}{2}$$ is rational, while $$\frac{\text{sqrt}(2)}{1}$$ is irrational).

What is the significance of zero in rational numbers?

Zero is a rational number because it can be expressed as $$\frac{0}{1}$$ . It is the additive identity, meaning any rational number plus zero equals the original number.

Rational Numbers Practice Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a rational number?

Back

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

Tags

CCSS.5.NBT.A.2

2.

FLASHCARD QUESTION

Front

What is the sum of two rational numbers?

Back

Tags

CCSS.7.NS.A.1C

3.

FLASHCARD QUESTION

Front

What is the product of a positive and a negative rational number?

Back

Tags

CCSS.7.NS.A.2A

4.

FLASHCARD QUESTION

Front

How do you subtract a negative rational number?

Back

Tags

CCSS.7.NS.A.1C

5.

FLASHCARD QUESTION

Front

What is the result of adding two fractions with different denominators?

Back

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

6.

FLASHCARD QUESTION

Front

What is the process to multiply two fractions?

Back

Tags

CCSS.5.NF.B.6

7.

FLASHCARD QUESTION

Front

What is the reciprocal of a rational number?

Back

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