Rational number worksheet
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Rational Numbers 1. Write these numbers as a ratio (fraction) of two integers.2. Are all percentages, such as 34% or 5%, rational numbers? Justify your answer.If you can write a number as a ratio of two integers, it is a rational number.Note: When representing rational numbers, we usually indicate the ratio with a fraction line rather than a colon.For example, 4.3 is a rational number because we can write it as the ratio 4310 or 43:10. Examples ofrational numbers Since −10 can be written as −101, it is a rational number. It can also be written as 10−1. Since 0.1 can be written as 110, it is also a rational number.Since 3.24 can be written as 324100, it, too, is a rational number.Negative fractionsThe ratio of the integers 7 and −10 gives us the fraction 7−10. As we studied earlier, we usually writethis as −710 and read it as “negative seven tenths.”Obviously, all fractions, whether negative or positive, are rational numbers.Negative fractions give us negative decimals.For example, −810 is written as a decimal as −0.8, and −521100 = −5.21.You can write a rational number as a ratio of two integers in many ways.For example, the decimal −1.4 can be written as a ratio of two integers in all these ways (and more!):So −1.4 is very definitely a rational number!☺But the same holds true for all rational numbers—you can always write them as a ratio of two integers in multitudes of ways. −1.4 = −1410=−2820=28−20=42−30=−4230=−75a. 6b.−100c. 0d. 0.21e.−1.9f.−5.4g.−0.56h. 0.02211Math Mammoth Rational Numbers (Blue Series)Sample worksheet from www.mathmammoth.com