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Written practice
Lesson 1
Classifying Real Numbers
1.
26.1 x 6.15 =
2.
1
1
4
+
+
8
2
7
3.
954 ÷ 0.9
4.
3 1
1
+
+
5 8
8
3
5. Write as a decimal.
8
6.
Write 0.666 as a fraction.
7.
1
1
2
3
+
2
5
8.
Name a fraction equivalent to
2
5
9. Two students determine
the prime factorization
of 72. Which student is
correct? Explain.
(see their work on the next slide)
Student A
72
=9∙8
=9∙4∙2
= 9 ∙ 2 ∙ 2 ∙2
Student B
72
=9∙8
=9∙4∙2
= 3 ∙ 3 ∙ 2 ∙ 2 ∙2
10.
Find the prime factorization of
144
11.
Write 0.15 as a percent. If
necessary, round to the
nearest tenth.
12.
Write 7.2 as a percent.
If necessary, round to the nearest
tenth.
13.
Use braces and digits to designate
the set of natural numbers.
14.
The set {0, 1, 2, 3,…} represents
what set of numbers?
15. Represent the following
numbers as being members of set
K: 2, 4, 2, 0, 6, 0, 10, 8
16. Which of the following
numbers is irrational?
A. 15
B. 15
C. 15.15151515
15
D.  3
17.
The surface area of a cube is
defined as 6s2, where s is the
length of the side of the cube. If s
is an integer, then would the
surface area of a cube be a rational
or irrational number?
18.
True or false: A right triangle can
have an obtuse angle. Explain
your answer.
19.
A baby’s head is approximately one
fourth of its total body length. If the
baby’s body measures 19 inches,
what does the baby’s head
measure?
20.
True or false: An acute triangle
has 3 acute angles. Explain your
answer.
21.
True or false: A trapezoid has two
pairs of parallel sides. Explain your
answer.
22.
Tyrone ran 7 laps on the quartermile track during practice. Which
subset of real numbers would
include the distance Tyrone ran at
practice?
23.
True or false: A parallelogram has
two pairs of parallel sides. Explain
your answer.
24.
Use the divisibility test to determine
is 1248 is divisible by 2. Explain
your answer.
25.
The diagram shows a right triangle.
The length of the hypotenuse is a
member of which subset(s) of real
numbers?
34inches
3 inches
5 inches
26.
The diagram shows a rectangle.
a. Find the area of a rectangle
b. The area is a member of
which subset(s) of real
numbers?
3 feet
6 feet
27.
The surface-speed record set by
the lunar rover on the moon is
10.56 miles per hour. At that
speed, how far would the rover
travel in 3.5 hours?
28.
Use the divisibility test to determine
if 207 is divisible by 3. Explain.
29.
Vidiana and Jaime went
swimming before school. Vidiana
3
swam mile and Jaime swam 4
5
7
mile.
Write a comparison to show who
swam the farthest. Use <, >, or =.
30.
Shayla is balancing her checkbook. Which
subset of real numbers best describes her
balance?