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Mathematics For Elementary Teachers With Activities
5th Edition
ISBN: 9780134423401
Author: Sybilla Beckmann
Publisher: PEARSON
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Textbook Question
Chapter 5.2, Problem 8P
Explain how to write 1.89 and 3.57 as improper fractions whose denominators are products of 10s. Then use fraction multiplication to explain where to place the decimal point in the solution to
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Students have asked these similar questions
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later?
Step 1
Using the diagram of a right triangle given below, the relation between x, y, and z is
z²
= x²+
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x
Step 2
We must find dz/dt. Differentiating both sides and simplifying gives us the following.
2z
dz
dt
dx
2x.
+2y
dt
dx
dy
dz
x
+y
dt
dt
dt
2z
dy
dt
×
dx
(x+y
dt
dy
dt
An elastic rope is attached to the ground at the positions shown in the picture. The rope is being pulled up along the dotted line. Assume the units are meters.
9
ground level
Assume that x is increasing at a rate of 3 meters/sec.
(a) Write as a function of x: 0=
(b) When x=10, the angle is changing at a rate of
rad/sec.
(c) Let L be the the left hand piece of rope and R the right hand piece of rope. When x=10, is the rate of change of L larger than the rate of change of R?
○ Yes
○ No
At a local college, for sections of economics are taught during the day and two sections are taught at night. 70 percent of the day sections are taught by full time faculty. 20 percent of the evening sections are taught by full time faculty. If Jane has a part time teacher for her economics course, what is the probability that she is taking a night class?
Chapter 5 Solutions
Mathematics For Elementary Teachers With Activities
Ch. 5.1 - a. Anita had 12 of a bag of fertilizer left. She...Ch. 5.1 - a. Discuss the meaning of 12.14.Include a simple...Ch. 5.1 - Paul used 34 cup of butter in the batch of...Ch. 5.1 - Which of the following are word problems for...Ch. 5.1 - Which of the following are word problems of 34.5=?...Ch. 5.1 - Consider this word problem about baking brownies:...Ch. 5.1 - Explain why it would be easy to interpret the...Ch. 5.1 - Write a word problem for 13.14=? Use the...Ch. 5.1 - Write a word problem for 2.35=? Use the definition...Ch. 5.1 - Write a word problem for 23.5=? Use the definition...
Ch. 5.1 - Write a simple word problem for 23.45=? Use your...Ch. 5.1 - One serving of Gooey Gushers provides 12% of the...Ch. 5.1 - a. Write a word problem for 212.312=? b. Use math...Ch. 5.1 - Manda says that 323.215.=3.2+25.15 Explain why...Ch. 5.1 - a. Write an expression that uses both...Ch. 5.1 - a. Write an expression that uses both...Ch. 5.1 - To understand fraction multiplication thoroughly,...Ch. 5.1 - To understand fraction multiplication thoroughly...Ch. 5.1 - The liquid in a car’s radiator is 75% water and...Ch. 5.1 - * You are holding a yellow flask and a read flask....Ch. 5.1 - Discuss why we must develop an understanding of...Ch. 5.1 - Explain in your own words why multiplication means...Ch. 5.2 - Write and solve your own word problem for...Ch. 5.2 - Write a word problem for 1.32.79. Solve your...Ch. 5.2 - Leah is working on the multiplication problem...Ch. 5.2 - Run used a calculator to determine that...Ch. 5.2 - When we multiply 0.483.9, we first multiply as if...Ch. 5.2 - Suppose you multiply a decimal that has 2 digits...Ch. 5.2 - Suppose you multiply a decimal that has M digits...Ch. 5.2 - Explain how to write 1.89 and 3.57 as improper...Ch. 5.2 - A Shampoo Problem: A bottle contains 25.4 fluid...Ch. 5.2 - Determine the area of the rectangle in Figure 5.12...Ch. 5.2 - Determine the area of a 1.7-until-by-3.1-unit...Ch. 5.3 - Explain the following in your own words. Explain...Ch. 5.3 - For each of the following cases, either explain...Ch. 5.3 - For each of the following cases, either explain...Ch. 5.4 - Write the following numbers as powers of 10:...Ch. 5.4 - a. The winnings of a lottery were $250 million....Ch. 5.4 - Write the following numbers in scientific...Ch. 5.4 - Prob. 4PCh. 5.4 - Tanya says that the one digit of 259 is a 5...Ch. 5.4 - Is 2107 equal to 27? Is 1109 equal to 19? If not,...Ch. 5.4 - Calculate 8123,456,123,456 using a calculator....Ch. 5.4 - Let’s say that you want to write the product...Ch. 5.4 - Light travels at a speed of about 300,000...Ch. 5.4 - According to scientific theories, the solar system...Ch. 5.4 - Suppose that a laboratory has 1 gram of a...Ch. 5.4 - Suppose you multiply a 6-digit number by an...
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