3-2 Rational Numbers Worksheet With Answers Page 10
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15comparing the three numbers.
ANSWER:
3-2 Rational Numbers
;
;
56.
OPEN ENDED Choose a repeating decimal in which three digits repeat. Write the number as a fraction or mixed
number in simplest form.
ANSWER:
Sample answer: 0.231...
57.
WRITING IN MATH Explain why
is greater than 0.76.
ANSWER:
Sample answer: Since
= 0.76767676... and 0.76 = 0.76000000...,
is greater than 0.76.
58.
CHALLENGE Antonio stated that
= 1. Show that he is correct.
ANSWER:
Let N = 0.999... so, 10N = 9.999…
59.
REASONING Determine whether the following statements are true or false . If true, explain your reasoning. If
false, give a counterexample.
a. All integers are rational numbers.
b. All whole numbers are integers.
c. A rational number is always an integer.
d. All natural numbers are rational.
ANSWER:
a. true; Sample answer: Integers include all whole numbers and their opposites. Therefore, they belong to the set of
rational numbers.
b. true; Sample answer: All whole numbers and their opposites belong to the set of integers.
c. false: Sample answer:
is not an integer
d. true: Sample answer: All natural numbers are rational because they can be expressed as fractions.
60.
WRITING IN MATH How do you compare and order fractions and decimals? Give an example to explain your
reasoning.
ANSWER:
Sample answer: Convert all the numbers to fractions or decimals. Then use a number line to compare.
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61.
Which fraction is between 0.12 and 0.15?
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