Addition and Subtraction of Rational Numbers Quiz

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Questions and Answers

Which of the following is a correct definition of a rational number?

Any positive whole number
Any number that can be expressed as a radical
Any non-terminating decimal number
Any number that can be expressed as a fraction (correct)

Which of the following is a rational number according to the given text?

0.25 (correct)
π
-5
√2

What is the mathematical representation of dividing two integers, as mentioned in the text?

Natural numbers
Irrational numbers
Fractions (correct)
Whole numbers

Which number group are rational numbers made from, according to the text?

Integers (C) Signup and view all the answers

What is required to understand before learning how to add and subtract rational numbers?

Understanding what a rational number is (B) Signup and view all the answers

What is the first step to find the LCD of two fractions?

Find the prime factors of each denominator (D) Signup and view all the answers

Why is it important to find the least common denominator (LCD) when adding or subtracting rational numbers?

To eliminate the need for reducing the final fraction after calculation (A) Signup and view all the answers

What is the least common denominator (LCD) of the fractions 1/6 and 5/12?

12 (A) Signup and view all the answers

When adding rational numbers, what should be done after finding the LCD and adjusting the original fractions to equivalent fractions?

Simply add the numerators as normal (D) Signup and view all the answers

What is the final step after subtracting rational numbers?

Reduce the rational number by dividing both the numerator and denominator by the largest number that will go into both (D) Signup and view all the answers

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Study Notes

Rational Numbers

A rational number is a number that can be expressed as the ratio of two integers.
Rational numbers are made from the group of integers.
To understand how to add and subtract rational numbers, one must first understand equivalent fractions and how to find the least common denominator (LCD).

Finding the Least Common Denominator (LCD)

The first step to find the LCD of two fractions is to list the multiples of each denominator.
It is important to find the LCD when adding or subtracting rational numbers because it allows us to have a common denominator, making it possible to add or subtract the fractions.
The LCD of the fractions 1/6 and 5/12 is 12.

Adding and Subtracting Rational Numbers

After finding the LCD and adjusting the original fractions to equivalent fractions, add or subtract the numerators and keep the LCD as the denominator.
The final step after subtracting rational numbers is to simplify the resulting fraction, if possible.