Flashcard (M7A): Adding and Subtracting Rational Numbers (60 points)

Front

What is the process to rewrite a subtraction problem as an addition problem?

Back

To rewrite a subtraction problem as an addition problem, change the subtraction of a number to the addition of its opposite. For example, -5.66 - (-4.1) becomes -5.66 + 4.1.

Front

What is the result of -6.23 - 7.5?

Back

The result of -6.23 - 7.5 is -13.73.

Front

How do you subtract fractions with different denominators, such as 1/4 - 5/6?

Back

To subtract fractions with different denominators, find a common denominator, convert the fractions, and then subtract the numerators. For 1/4 - 5/6, the result is -7/12.

Front

What is the mixed number representation of -5.75?

Back

The mixed number representation of -5.75 is -5 and 3/4.

Front

How do you handle subtracting a negative fraction, such as 5/8 - (-7/8)?

Back

When subtracting a negative fraction, it is equivalent to adding the positive value of that fraction. Therefore, 5/8 - (-7/8) becomes 5/8 + 7/8, which equals 1 and 1/2.

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.

Front

What is the first step in adding or subtracting rational numbers?

Back

The first step is to ensure that the numbers have a common denominator if they are fractions.

Front

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

Back

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

Front

What is the result of adding two negative rational numbers?

Back

The result of adding two negative rational numbers is always a negative rational number.

Front

What is the result of subtracting a positive rational number from a negative rational number?

Back

The result of subtracting a positive rational number from a negative rational number is always a more negative rational number.