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Why Are Repeating Decimals Rational Numbers?

are repeating decimals rational: DECIMAL spelled using wooden blocks

Are repeating decimals rational? The answer is yes. But before we talk about why, let's review rational numbers. A rational number is a fraction in its lowest term. It's written in form a/b, where both a and b are integers, and b is a non-zero denominator.

Now, let’s talk about why repeating decimals are considered rational numbers.

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Negative Number Line: What It Is and How To Use It

Negative number line: Number line showing negative and positive numbers

Number lines are linear representations of numeric values. Any negative integer left of zero is part of the negative number line. Any positive integer right of zero is part of the positive number line. When you move left to right, you are heading in a positive direction. Shifting right to left along the number line indicates a move in the negative direction.

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