Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 8.6, Problem 7P
Without actually determining the decimal representation of
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Section 2.2 Subsets
71
Exercise Set 2.2
Practice Exercises
In Exercises 1-18, write or in each blank so that the resulting
statement is true.
1. {1, 2, 5}
{1, 2, 3, 4, 5, 6, 7}
2. {2, 3, 7}
{1, 2, 3, 4, 5, 6, 7}
3. {-3, 0, 3}
{-4,-3,-1, 1, 3, 4}
4. {-4, 0, 4}
5. {Monday, Friday}
{-3, -1, 1, 3}
{Saturday, Sunday, Monday, Tuesday, Wednesday}
6. {Mercury, Venus, Earth}
{Venus, Earth, Mars, Jupiter}
7. {x/x is a cat}
{xx is a black cat}
{x|x is a pure-bred dog}
ibrary
mbers,
ause the
entire
sual
8. {xx is a dog}
9. (c, o, n, v, e, r, s, a, t, i, o, n}
{v, o, i, c, e, s, r, a, n, t, o, n}
10. [r, e, v, o, l, u, t, i, o, n}
{t, o, l, o, v, e, r, u, i, n}
33. A = {x|x E N
and
5 < x < 12}
B
=
{x|x E N
and
2 ≤ x ≤ 11}
A_ B
34. A =
{x|x = N
and
3 < x < 10}
B =
A.
{x|x = N
and
2 ≤ x ≤ 8}
B
35. Ø
{7, 8, 9,..., 100}
36. Ø
_{101, 102, 103, . . ., 200}
37. [7, 8, 9,...}
38. [101, 102, 103, ...}
39. Ø
40. { }
{ }
e
In Exercises 41-54, determine whether each statement is true or
false. If…
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
Find the lengths of r, s, t, and u shown in the figure below if r+s=34. Round your answers to the nearest tenth.
Note that the figure is not drawn to scale.
16
37°
r =
S
u =
t
S
u
24
☑
Chapter 8 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 8.1 - Johnny says that 3 is a multiple of 6 because you...Ch. 8.1 - Manuela is looking for all the factors of 90. So...Ch. 8.1 - Show how to find all the factors of the following...Ch. 8.1 - a. Write a word problem such that solving your...Ch. 8.1 - a. Write a problem about a realistic situation...Ch. 8.1 - Solve problems (a) and (b), and determine whether...Ch. 8.1 - a. If A and how are answer, B are counting numbers...Ch. 8.1 - * If A, B, and C are counting numbers and both A...Ch. 8.2 - Describe a way that the children in Mrs. Verner’s...Ch. 8.2 - Explain why an odd counting number can always be...
Ch. 8.2 - For each of the two designs in Figure 8.5, explain...Ch. 8.2 - Without determining the number of dots in the...Ch. 8.2 - If you add an even number and an even number, what...Ch. 8.2 - If you multiply an odd number and an odd number,...Ch. 8.2 - * If you multiply an even number by 3 and then add...Ch. 8.2 - * If you multiply an odd number by 3 and then add...Ch. 8.2 - * Suppose that the difference between two counting...Ch. 8.2 - * Suppose that the difference between two counting...Ch. 8.2 - * If you add a number that has a remainder of 1...Ch. 8.2 - * If you multiply a number that has a remainder of...Ch. 8.3 - Use the divisibility test for 3 to determine...Ch. 8.3 - According to the divisibility test for 10, to...Ch. 8.3 - According to the divisibility test for 5, to...Ch. 8.3 - Beth knows the divisibility test for 3. Beth says...Ch. 8.3 - What are all the different ways to choose the ones...Ch. 8.3 - Sam used his calculator to calculate...Ch. 8.3 - Explain how to modify the divisibility test for 3...Ch. 8.3 - For each of the numbers in (a) through (d), verify...Ch. 8.3 - a. Give a clear and complete explanation for why...Ch. 8.3 - a. Find a divisibility test for 25; in other...Ch. 8.3 - a. What are all the different ways to choose the...Ch. 8.3 - a. Find a divisibility test for 8. In other words,...Ch. 8.3 - a. Is it true that a whole number is divisible by...Ch. 8.3 - * Investigate the questions in the following parts...Ch. 8.3 - a. If you add 2 consecutive counting numbers (such...Ch. 8.4 - For which counting numbers, N, greater than 1, is...Ch. 8.4 - Use trial division to determine whether 251 is...Ch. 8.4 - For each of the numbers in (a) through (d),...Ch. 8.4 - Given that 792=23.32.11, find all the factors of...Ch. 8.4 - Without calculating the number 1923+1, explain why...Ch. 8.4 - Following Euclid’s proof that there are infinitely...Ch. 8.5 - Why do we not talk about a greatest common...Ch. 8.5 - Show how to use the definition of GCF to determine...Ch. 8.5 - Show how to use the definition of GCF to determine...Ch. 8.5 - Show how to use the definition of LCM to determine...Ch. 8.5 - Show how to use the definition of LCM to determine...Ch. 8.5 - Show how to use the slide method to determine the...Ch. 8.5 - Show how to use the slide method to determine the...Ch. 8.5 - Show how to use the slide method to determine the...Ch. 8.5 - Find the GCF and LCM of 25.32.5 and 23.34.7...Ch. 8.5 - Find the GCF and LCM of 34.52.75.11 and 37.53.73...Ch. 8.5 - Describe in general how to find the GCF and LCM of...Ch. 8.5 - Show all the details in the following...Ch. 8.5 - Show all the details in the following...Ch. 8.5 - Write a word problem that requires calculating the...Ch. 8.5 - Write a word problem that requires calculating the...Ch. 8.5 - Suppose you are teaching students about least...Ch. 8.5 - Kwan and Clevere are playing drums together,...Ch. 8.5 - At the zoo, the birds must be fed 12 cups of...Ch. 8.5 - There are periodical cicadas with 13-year life...Ch. 8.5 - In a clothing factory, a worker can sew 18 Garment...Ch. 8.5 - Keiko has a rectangular piece of fabric that is 48...Ch. 8.5 - A large gear will be used to turn a smaller gear....Ch. 8.5 - A large gear is used to turn a smaller gear. The...Ch. 8.6 - Use the standard division algorithm to determine...Ch. 8.6 - Use the standard division algorithm to determine...Ch. 8.6 - Use the standard division algorithm to determine...Ch. 8.6 - Write the following decimals as fractions. Explain...Ch. 8.6 - What is the 100th digit to the right of the...Ch. 8.6 - What is another way to write 1.824 as a decimal?...Ch. 8.6 - Without actually determining the decimal...Ch. 8.6 - Give an example of an irrational number, and...Ch. 8.6 - In your own words, prove that the square root of 5...Ch. 8.6 - Carl’s calculator displays only 10 digits. Carl...Ch. 8.6 - Fran has a calculator that shows at most 10...Ch. 8.6 - Tyrone used a calculator to solve a problem. The...Ch. 8.6 - * Show how to find the exact decimal...Ch. 8.6 - Prob. 14PCh. 8.6 - Prob. 15PCh. 8.6 - Prob. 16PCh. 8.6 - Prob. 17PCh. 8.6 - a. Use a calculator to calculate the decimal...Ch. 8.6 - a. Use a calculator to calculate the decimal...Ch. 8.6 - a. Suppose that a fraction AB where A and B are...
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