What happens when you multiply a positive rational number by a negative rational number?

The result is a negative rational number.

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

The sum of two rational numbers with the same sign is also a rational number with the same sign.

What is the difference between two rational numbers?

The difference between two rational numbers can be found by adding the opposite of the second number to the first.

What is the result of adding two rational numbers with different signs?

The result is the difference of their absolute values, and the sign of the result is determined by the number with the larger absolute value.

What is the reciprocal of a rational number?

The reciprocal of a rational number $$\frac{a}{b}$$ (where $$b \neq 0$$ ) is $$\frac{b}{a}$$ .

How do you convert a mixed number to an improper fraction?

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

What is the process for simplifying a fraction?

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Operations with Rational Numbers Flashcards

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15 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.

2.

FLASHCARD QUESTION

Front

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

Back

The sum of a positive and a negative rational number depends on their absolute values. If the positive number is greater, the result is positive; if the negative number is greater, the result is negative.

3.

FLASHCARD QUESTION

Front

Solve the expression: $15.3 + (-2.4)$

Back

12.9

4.

FLASHCARD QUESTION

Front

What is the product of two negative rational numbers?

Back

The product of two negative rational numbers is positive.

5.

FLASHCARD QUESTION

Front

Solve the expression: $\frac{1}{2}(-8)$

Back

-4

6.

FLASHCARD QUESTION

Front

What is the result of dividing two negative rational numbers?

Back

The result of dividing two negative rational numbers is positive.

7.

FLASHCARD QUESTION

Front

Solve the expression: $\frac{-60}{-5}$

Back

12

9.

FLASHCARD QUESTION

Front

Solve the expression: $\left(\frac{-3}{4}\right)\left(\frac{1}{4}\right)$

Back

$-\frac{3}{16}$

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