b.
≈ 3.160; Archimedes’ value is closer than the Egyptians.
3-2 Rational Numbers
Order each set of rational numbers from least to greatest.
51.
–3.4,
,
, 3.38
ANSWER:
, –3.4,
, 3.38
52.
,
,
, 0.32
ANSWER:
, 0.32,
,
53.
, –1.9,
, –1.95
ANSWER:
–1.95,
, –1.9,
54.
,
,
, 9.82
ANSWER:
,
, 9.82,
55.
ANIMALS A lion’s speed is
the speed of a cheetah. Find the least rational number with a denominator of 9 that
is greater than
. Find the greatest rational number with a denominator of 8 that is less than
. Write an inequality
comparing the three numbers.
ANSWER:
;
;
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...
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