represent following rational numbers on same number line on a graph paper. -7/4 , 2 , -1/4 , 7/2
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Answer:
Here are five thermometers. The first four thermometers show temperatures in Celsius. Write the temperatures in the blanks.
Five vertical thermometers, a through e.
The last thermometer is missing some numbers. Write them in the boxes.
Elena says that the thermometer shown here reads because the line of the liquid is above . Jada says that it is . Do you agree with either one of them? Explain your reasoning.
A thermometer labeled negative 4 to 5 by ones. It is shaded up to the halfway point between negative 2 and negative 1.
One morning, the temperature in Phoenix, Arizona, was and the temperature in Portland, Maine, was cooler. What was the temperature in Portland?
2.3: Folded Number Lines
Your teacher will give you a sheet of tracing paper on which to draw a number line.
Follow the steps to make your own number line.
Use a straightedge or a ruler to draw a horizontal line. Mark the middle point of the line and label it 0.
To the right of 0, draw tick marks that are 1 centimeter apart. Label the tick marks 1, 2, 3. . . 10. This represents the positive side of your number line.
Fold your paper so that a vertical crease goes through 0 and the two sides of the number line match up perfectly.
Use the fold to help you trace the tick marks that you already drew onto the opposite side of the number line. Unfold and label the tick marks -1, -2, -3. . . -10. This represents the negative side of your number line.
Use your number line to answer these questions:
Which number is the same distance away from zero as is the number 4?
Which number is the same distance away from zero as is the number -7?
Two numbers that are the same distance from zero on the number line are called opposites. Find another pair of opposites on the number line.
Determine how far away the number 5 is from 0. Then, choose a positive number and a negative number that is each farther away from zero than is the number 5.
Determine how far away the number -2 is from 0. Then, choose a positive number and a negative number that is each farther away from zero than is the number -2.
Pause here so your teacher can review your work.
Here is a number line with some points labeled with letters. Determine the location of points , , and .
A number line. Points labeled Y, X, P, in that order, all lie to the left of tick marks that count from 0 to 10 by ones.
If you get stuck, trace the number line and points onto a sheet of tracing paper, fold it so that a vertical crease goes through 0, and use the folded number line to help you find the unknown values.
Are you ready for more?
Summary
Here is a number line labeled with positive and negative numbers. The number 4 is positive, so its location is 4 units to the right of 0 on the number line. The number -1.1 is negative, so its location is 1.1 units to the left of 0 on the number line.
A number line with 11 evenly spaced tick marks, the numbers negative 5 through 5 indicated.
We say that the opposite of 8.3 is -8.3, and that the opposite of is . Any pair of numbers that are equally far from 0 are called opposites.
Points and are opposites because they are both 2.5 units away from 0, even though is to the left of 0 and is to the right of 0.
Number line, negative 5 to 5 by ones. Point A is halfway between negative 3 and negative 2. Point B is halfway between 2 and 3. Point C is halfway between 4 and 5.
A positive number has a negative number for its opposite. A negative number has a positive number for its opposite. The opposite of 0 is itself.
You have worked with positive numbers for many years. All of the positive numbers you have seen—whole and non-whole numbers—can be thought of as fractions and can be located on a the number line.
To locate a non-whole number on a number line, we can divide the distance between two whole numbers into fractional parts and then count the number of parts. For example, 2.7 can be written as . The segment between 2 and 3 can be partitioned into 10 equal parts or 10 tenths. From 2, we can count 7 of the tenths to locate 2.7 on the number line.
All of the fractions and their opposites are what we call rational numbers. For example, 4, -1.1, 8.3, -8.3, , and are all rational numbers.
Glossary Entries
negative number
A negative number is a number that is less than zero. On a horizontal number line, negative numbers are usually shown to the left of 0.
number line with arrow that extends from 0 to -7
opposite
Two numbers are opposites if greater than zero. On a horizontal number line, positive numbers are usually shown to the right of 0.
Number line with green arrow extending from 0 to 7
rational number
A rational number is a fraction or the opposite of a fraction.
For example, 8 and -8 are rational numbers because they can be written as and .
Also, 0.75 and -0.75 are rational numbers because they can be written as and .
Answer:
which graph paper
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