3-2 Rational Numbers Worksheet With Answers Page 8
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
1548.
ANSWER:
3-2 Rational Numbers
49.
MULTIPLE REPRESENTATIONS Pi (π) is a nonrepeating, nonterminating decimal. Two common estimates
for pi are 3.14 and
.
a. Graphical Use a calculator to find the value of π to seven decimal places. Then graph the three values on a
number line.
b. Symbolic Write an inequality comparing the values.
c. Verbal To find the circumference of a circle, you multiply pi by the diameter d of the circle. Explain when you
might use 3.14 to find the circumference and when you might use
to find the circumference.
ANSWER:
a. 3.1415927
b. 3.14 < π <
c. Sample answer: If the diameter is a multiple of 7, use
. Otherwise, use 3.14.
50.
HISTORY The mathematician Archimedes believed that π was between
and
.
a. Express each mixed number as a decimal rounded to the nearest thousandth. Was Archimedes’ theory correct?
Explain.
b. The Rhind Papyrus records that the Egyptians used
for π. Express the fraction as a decimal rounded to the
nearest thousandth.
Which value is closer to the actual value of π, Arcihimedes’ or the Egyptians’ value?
ANSWER:
a.
≈ 3.143,
≈ 3.141; yes; Sample answer: Since 3.143 > 3.1415927... > 3.141, pi is between the two values
and his theory was correct.
b.
≈ 3.160; Archimedes’ value is closer than the Egyptians.
Order each set of rational numbers from least to greatest.
eSolutions Manual - Powered by Cognero
Page 8
51.
–3.4,
,
, 3.38
ANSWER:
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education