The Heart of Mathematics: An Invitation to Effective Thinking
4th Edition
ISBN: 9781118156599
Author: Edward B. Burger, Michael Starbird
Publisher: Wiley, John & Sons, Incorporated

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Textbook Question
Chapter 2.7, Problem 1MS

X marks the “X-act” spot.

On the number tine above, place an X on the approximate location for each of the following numbers:

3 2 , 1 3 , 2.3 , 1.1 ,   0.9 ,   1.05 ,   0.55.

To determine

To mark: The given numbers on number line.

### Explanation of Solution

Given information: The given numbers are

32,13,2.3,1.1,0.9,1.05,0.55 .

Concept used:

A real number line can be used to mark any real number on it. 0 is located at the middle of the number line. Left side of 0 is used to mark negative numbers, and right side of 0 is used to mark positive numbers. Each interval of consecutive natural numbers are filled with infinite rational and irrational numbers.

Let us construct a number line as shown.

The given numbers are

32,13,2.3,1.1,0.9,1.05,0.55

Now, express each rational number in decimal form.

32=1.513=0.333..

1.5 will be located at the middle of 1 and 2, to the right hand side of 0.

0.333... will be located to the left side of 0 and near to 0 .

2.3 will be located after 3 point of 2, to the right hand side of 0.

1.1 will be located to the left side of 1 and near to 1 .

0.9 will be located to the right hand side of 0 and it will be near to 1.

1.05 will be located, to the right hand side of 1 and it will be very near to 1.

0.55 will be located to the left side of 0, and to the middle position of 0 and 1 .

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