9.2.4 (day 1) Real Numbers
Homework
9-110. Graph each of the pairs of points listed below and draw a line segment between
them. Use the graph to help you find the length of each line segment. State whether each
length is irrational or rational.
a. (−3, 0) and (0, −3)
≈ 4.24 units. Irrational
b. (2, 3) and (−1, 2)
≈ 3.16 units. Irrational
c. (3, 2) and (3, −3)
5 units. Rational
9-111. Howie and Steve are making cookies for themselves and some friends. The recipe
they are using will make 48 cookies, but they only want to make 16 cookies. They have no
trouble reducing the amounts of flour and sugar, but the original recipe calls for 1
butter. Help Howie and Steve determine how much butter they need.
7/12 cup
9-112. Find the perimeter and area of the figure at right. Show your
work for each of the steps that you use.
P = 34m, A = 74 sq m
9-113. Write the following numbers in scientific notation.
a. 370,000,000
3.7 × 108
b. 0.0000000000076
7.6 × 10-12
cups of
9-114. Simplify each of the following expressions.
a. 4x3y · 3xy2
12x4y3
d.
b. 6a5b2 · 3ab2
c. m2n · 9mn
18a6b4
9m3n2
e.
1
f.
m4n-2
9-115. Simplify each numerical expression.
a.
b.
c.
0
-32
13