How can you use a number line to compare positive and negative fractions and decimals? ACTIVITY: Locating Fractions on a Number Line
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1 . Fractions and Decimals on the Number Line How can you use a number line to compare positive and negative fractions and decimals? ACTIVITY: Locating Fractions on a Number Line On your time line for A Day in the Life of an Astronaut from Activity in Section., include the following events. Represent each using a fraction or a mixed number. Liftoff 0 Noon a. Radio Transmission: 0:0 a.m. b. Space Walk: 7:0 p.m. c. Physical Exam: : a.m. d. Photograph Taken: : a.m. COMMON CORE Fractions and Decimals In this lesson, you will understand positive and negative numbers and use them to describe real-life situations. graph numbers on a number line. Learning Standards MACC..NS.. MACC..NS..a MACC..NS..c MACC..NS..7a MACC..NS..7b e. Float in the Cabin: :0 p.m. f. Eat Dinner: 8:0 p.m. 0 Chapter Integers and the Coordinate Plane
2 Math Practice Make a Plan How can you find a number between two given numbers? Work with a partner. Find a number that is between the two numbers. The number must be greater than the green number and less than the blue number. a. b. ACTIVITY: Fractions and Decimals on a Number Line c. 0 ACTIVITY: Decimals on a Number Line Work with a partner. Snorkeling: Scuba diving: Deep-sea diving: meters 0 meters 700 meters a. Write the position of each diver in kilometers. b. CHOOSE TOOLS Would a horizontal or a vertical number line be more appropriate for representing these data? Why? c. Use a number line to order the positions from deepest to shallowest.. IN YOUR OWN WORDS How can you use a number line to compare positive and negative fractions and decimals?. Draw a number line. Graph and label three values between and. Use what you learned about fractions and decimals on a number line to complete Exercises and on page. Section. Fractions and Decimals on the Number Line
3 . Lesson Lesson Tutorials In Section., you learned that integers can be negative. Fractions and decimals can also be negative. Graph each number and its opposite. a. Graphing Negative Fractions and Decimals Graph. 0 is the same distance from 0 as. b.. Graph is the same distance from 0 as.. Exercises 9 Graph the number and its opposite Comparing Fractions and Mixed Numbers a. Compare and. b. Compare and. Graph. Graph. Graph. Graph. 0 is to the right of. is to the left of. So, >. So, <. Chapter Integers and the Coordinate Plane
4 Comparing Decimals Compare.08 and.8. Graph Ź.8. Graph Ź.08. Ź Ź.9 Ź.8 Ź.7 Ź. Ź. Ź. Ź. Ź. Ź. Ź.08 is to the right of.8. So,.08 >.8. Real-Life Application A Chinook wind is a warm mountain wind that can cause rapid temperature changes. The table shows three of the greatest temperature drops ever recorded after a Chinook wind occurred. On which date did the temperature drop the fastest? Explain. Temperature Change Date 0 F per minute January 0, 9 DISSIPATING CLOUDS,000 ft November 0, 9 F per minute January, 9 CLEAR AND DRY 000 ft 8 F per minute Graph the numbers on a number line. Ź Ź 0 Ź Ź Ź Ź Ź Ź Ź 8 Ź 0 0 is farthest to the left. So, the temperature dropped the fastest on January 0, 9. Copy and complete the statement using < or >. Exercises 0 8 and WHAT IF? In Example, a temperature change of F per minute is recorded. How does this temperature change compare with the other temperature changes? Explain. Section. Fractions and Decimals on the Number Line
5 . Exercises Help with Homework. NUMBER SENSE Which statement is not true? a. On a number line, is to the left of. b. is less than. c. is greater than. d. On a number line, is to the left of.. NUMBER SENSE Is a negative decimal always, sometimes, or never equal to a positive decimal? Explain.. NUMBER SENSE On a number line, is.0 or. farther to the left? 9+(-)= +(-)= +(-9)= 9+(-)= Find a fraction or mixed number that is between the two numbers Graph the number and its opposite Copy and complete the statement using < or > SAND DOLLARS In rough water, a small sand dollar burrows centimeter into the sand. A larger sand dollar burrows centimeters into the sand. Which sand dollar burrowed farther? Chapter Integers and the Coordinate Plane
6 Order the numbers from least to greatest. 0. 0,,,,. 0, 8, 0,,..,,.8, 0,.7.,.,.9,,.. STARS The apparent magnitude of a star measures how bright the star appears as seen from Earth. The brighter the star, the lesser the number. Which star is the brightest? Star Alpha Centauri Antares Canopus Deneb Sirius Apparent Magnitude TIDE STATION PIER ACOUSTIC SENSOR. LOW TIDE The daily water level is recorded for seven straight days at a tide station on the Big Marco River in Florida. On which days is the water level higher than on the previous day? On which days is it lower? WAVES PRESSURE SENSOR CURRENT Day Sun. Mon. Tues. Wed. Thurs. Fri. Sat. Water Level of the Day (feet) PROBLEM SOLVING A guitar tuner allows you to tune a guitar string to its correct pitch. The units on a tuner are measured in cents. The units tell you how far the string tone is above or below the correct pitch. Guitar String Number of Cents Away from the Correct Pitch a. What number on the tuner represents a correctly tuned guitar string? b. Which strings have a pitch below the correct pitch? c. Which string has a pitch closest to its correct pitch? d. Which string has a pitch farthest from its correct pitch? e. The tuner is rated to be accurate to within 0. cent of the true pitch. Which string could possibly be correct? 7. What integer values of x make the statement x < x true? Graph the integer and its opposite. (Section.) MULTIPLE CHOICE You pay $8 for 8 pounds of chicken. Which is an equivalent rate? (Section.) A $ for pounds B $8 for pounds C $ for pounds D $0 for pounds Section. Fractions and Decimals on the Number Line
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