Rational Numbers Overview

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What are rational numbers?
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Rational numbers are numbers that can be expressed as the fraction of two integers, with the denominator not equal to zero.
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Give an example of a rational number.
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Examples include 1/2, -3/4, and 5, where 5 can be written as 5/1.
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Are all integers rational numbers?
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Yes, because any integer n can be expressed as n/1.
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Is the number 0 a rational number?
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Yes, because it can be expressed as 0/1.
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Can rational numbers be negative?
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Yes, rational numbers can be negative if either the numerator or the denominator is negative, but not both.
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Is 0.75 a rational number? Why?
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Yes, because it can be expressed as the fraction 3/4.
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What makes a number not rational?
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A number is not rational if it cannot be expressed as a fraction of two integers, like the square root of 2 or pi.
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How do you convert a repeating decimal into a rational number?
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Use algebra to set the decimal equal to a variable, shift the decimal point, subtract, and solve for the variable.
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What is the relationship between rational numbers and decimals?
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Rational numbers can be expressed as either terminating or repeating decimals.
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Is -7/9 a rational number?
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Yes, because it is a fraction of two integers with non-zero denominator.
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Can a whole number be a rational number?
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Yes, any whole number is a rational number because it can be written as that number over 1.
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Is the fraction 16/8 a rational number? Why?
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Yes, because it is the fraction of two integers and equals 2, an integer itself.
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What is a common property of all rational numbers?
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They can all be expressed as fractions or ratios of two numbers.
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Do rational numbers form a subset of real numbers?
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Yes, rational numbers are a subset of real numbers.
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How are rational numbers used in everyday life?
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They are used in measuring, dividing things into parts, and any situation involving ratios or fractions.
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