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IM: 6.7.2: Points on the Number Line (Lesson)

Last updated over 1 year ago

16 Nsɛmmisa

2.1: A Point on the Number Line

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2.2: What’s the Temperature?

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6.

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1.

Which of the following numbers could be B?

2.5

\frac{2}{5}

\frac{5}{2}

\frac{25}{10}

2.49

Here are four thermometers. The thermometers show temperatures in Celsius. Identify the temperature for each thermometer?

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5.

The thermometer is missing some numbers (labeled a-f). Identify the missing numbers.

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7.

Elena says that the thermometer shown here reads -2.5^{o}C because the line of the liquid is above -2^{o}C. Jada says that it is -1.5^{o}C. Do you agree with either one of them? Explain your reasoning.

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8.

One morning, the temperature in Phoenix, Arizona, was 8^{o}C and the temperature in Portland, Maine, was 12^{o}C cooler. What was the temperature in Portland?

Follow the steps to make your own number line. Then, use the number line to answer the questions.

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9.

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.

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10.

Which number is the same distance away from zero as is the number 4?

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11.

Which number is the same distance away from zero as is the number -7?

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15.

Here is a number line with some points labeled with letters. Determine the location of points P, X, and Y.

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16.

At noon, the temperatures in Portland, Maine, and Phoenix, Arizona, had opposite values. The temperature in Portland was 18^{o}C lower than in Phoenix. What was the temperature in each city? Explain your reasoning.

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12.

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.

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13.

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.

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14.

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.