QuestionWhich of the following phrases makes the statement true?
A positive rational number is a negative rational number
A) always greater than
B) always less than
C) sometimes greater than
D) sometimes less than
Studdy Solution
STEP 1
1. A positive rational number is any number that can be expressed as the quotient of two integers where the numerator and denominator are positive.
2. A negative rational number is any number that can be expressed as the quotient of two integers where the numerator is negative and the denominator is positive, or vice versa.
3. We are comparing a positive rational number to a negative rational number.
STEP 2
1. Understand the properties of rational numbers.
2. Compare positive and negative rational numbers.
3. Determine the correct phrase.
STEP 3
Recall that a positive rational number is greater than zero, while a negative rational number is less than zero.
STEP 4
Recognize that any positive number is always greater than any negative number.
STEP 5
Based on the properties of positive and negative numbers, determine the correct phrase that completes the statement.
STEP 6
Since a positive rational number is always greater than a negative rational number, the correct phrase is:
A) always greater than
The correct answer is:
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