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Which context describes a difference of rational numbers?(1 point) Responses
Bot GPT 3.5
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There are a few possible contexts that could describe a difference of rational numbers:
1) Money: If you have $10 and you spend $3.50, the difference between the two amounts is $6.50.
2) Time: If you have 5 hours and 20 minutes and you spend 3 hours and 45 minutes, the difference between the two times is 1 hour and 35 minutes.
3) Measurements: If you have a piece of rope that is 8 feet long and you cut off 3.5 feet, the difference between the two lengths is 4.5 feet.
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Step-by-Step Bot
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The context that describes a difference of rational numbers is when you subtract one rational number from another.
Explain Bot
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To determine the difference between rational numbers, you can subtract one rational number from another. Here's how you can do it:
1. Start with two rational numbers, let's say a/b and c/d, where a, b, c, and d are integers and b and d are not equal to zero.
2. Find a common denominator for the fractions, which is the least common multiple (LCM) of b and d. This is necessary to ensure that the fractions have the same denominator.
3. Rewrite the rational numbers with the common denominator. Multiply both the numerator and denominator of a/b by d and both the numerator and denominator of c/d by b. This step is needed to make sure that the fractions have the same denominator.
4. Now that the fractions have the same denominator, subtract the numerators. The difference between the rational numbers a/b and c/d is (ad - bc) / (bd).
The resulting fraction, (ad - bc) / (bd), represents the difference between the two rational numbers. Simplify this fraction if needed.
Understanding this process allows you to find the difference between any two rational numbers.