Mathematics for Elementary Teachers with Activities (5th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
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Chapter 5.4, Problem 1P

Write the following numbers as powers of 10:

  1. 0.000001
  2. 10,000,000
  3. the number whose decimal representation is a 1 followed by 50 zeros
  4. the number whose decimal representation is a decimal point followed by 10 zeros, followed by a 1
  5. the number whose decimal representation is a decimal point followed by 50 zeros, followed by a 1

a.

Expert Solution
Check Mark
To determine

To write:

The given numbers as a power of 10.

Answer to Problem 1P

  0.000001 as a power of 10 would be 106

Explanation of Solution

Given:

A number: 0.000001 .

Calculation:

First of all, we will write 0.000001 as a fraction as shown below:

  0.000001=0.000001×1,000,0001,000,000=11,000,000

Now, we will write 1,000,000 as a power of 10:

  0.000001=11,000,000=1106

Using property 1mn=mn , we will get:

  0.000001=1106=106

Therefore, 0.000001 as a power of 10 would be 106 .

b.

Expert Solution
Check Mark
To determine

To write:

The given numbers as a power of 10.

Answer to Problem 1P

  10,000,000 as a power of 10 would be 107

Explanation of Solution

Given:

A number: 10,000,000 .

Calculation:

We can see that there are 7 zeros after 1, this means that 10 is multiplied to itself by 7 times.

We can write 10,000,000 as a power of 10 as shown below:

  10,000,000=107

Therefore, 10,000,000 as a power of 10 would be 107 .

c.

Expert Solution
Check Mark
To determine

To write:

The given numbers as a power of 10.

Answer to Problem 1P

1 followed by 50 zeros as a power of 10 would be 1050

Explanation of Solution

Given:

A number, whose decimal representation is a 1 followed by 50 zeros.

Calculation:

1 followed by 50 zerosmeans that 1 followed by 50 zeros that is 10 multiplied to itself by 50 times.

We can write 1 followed by 50 zeros as a power of 10 by raising 10 to 50th power as:

  1,000,0000,........,000(50 zeros)=1050

Therefore,1 followed by 50 zerosas a power of 10 would be 1050 .

d.

Expert Solution
Check Mark
To determine

To write:

The given numbers as a power of 10.

Answer to Problem 1P

A decimal point followed by 10 zeros, followed by a1 as a power of 10 would be 1011

Explanation of Solution

Given:

A number, whose decimal representation is a decimal point followed by 10 zeros, followed by a1.

Calculation:

A decimal point followed by 10 zeros, followed by a 1 would be 0.00000000001 .

We will write 0.00000000001 as a fraction as shown below:

  0.00000000001=0.00000000001×10111011=11011

Using property 1mn=mn , we will get:

  0.00000000001=11011=1011

Therefore, 0.00000000001 as a power of 10 would be 1011 .

d.

Expert Solution
Check Mark
To determine

To write:

The given numbers as a power of 10.

Answer to Problem 1P

A decimal point followed by 50 zeros, followed by a 1as a power of 10 would be 1051

Explanation of Solution

Given:

A number, whose decimal representation is a decimal point followed by 50 zeros, followed by a 1.

Calculation:

A decimal point followed by 150 zeros, followed by a 1 would be 0.000,.....,000150 zeros .

To write 0.000,.....,000150 zeros as a power of 10, we will raise 10 to negative 51 power as it has 51 digits after decimal.

  0.000,.....,000150 zeros=1051

Therefore, 0.000,.....,000150 zeros as a power of 10 would be 1051 .

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04:38

Chapter 5 Solutions

Mathematics for Elementary Teachers with Activities (5th Edition)

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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