Integers and Absolute Value

Transcription

1 Practice A Integers and Absolute Value Circle the letter that best represents each situation. 1. a gain of 5 yards in football A 5 B +5 C 50 D an elevation of 9 feet below sea level A 9 B C 9 0 D a bank withdrawal of $25 F 2 G +5 H 25 J a plant growth of 10 inches F +1 G 1 H 10 J +10 Write the integer that is graphed on each number line The average temperature in Fairbanks, Alaska, in February is 4 F below zero. Write this temperature as an integer. 9. The average temperature in Fairbanks, Alaska, in November is 2 F above zero. Write this temperature as an integer.

2 Practice B Integers and Absolute Value Name a positive or negative number to represent each situation. 1. depositing $85 in a bank account 2. riding an elevator down 3 floors _ 3. the foundation of a house sinking 4. a temperature of 98 above zero 5 inches _ Graph each integer and its opposite on the number line Use the number line from the previous exercises to find the absolute value of each integer The highest point in the state of Louisiana is Driskall Mountain. It rises 535 feet above sea level. Write the elevation of Driskall Mountain as an integer. 14. The lowest point in the state of Louisiana is New Orleans. This city s elevation is 8 feet below sea level. Write the elevation of New Orleans as an integer.

3 Practice C Integers and Absolute Value Write a situation that each integer could represent Write the opposite of each integer Write the absolute value of each integer , Are there any integers between 0 and 1? Explain. 17. Death Valley, California, has the lowest point in the United States. Its elevation is 282 feet below sea level. Mount McKinley, Alaska, has the highest point in the United States. Its elevation is 20,320 feet above sea level. Use integers to describe these two locations in the United States.

4 Review for Mastery Integers and Absolute Value Positive numbers are greater than 0. Use a positive number to represent a gain or increase. Include the positive sign (+). an increase of 10 points +10 a flower growth of 2 inches +2 a gain of 15 yards in football +15 Negative numbers are less than 0. Use a negative number to represent a loss or decrease. Also use a negative number to represent a value below or less than a certain value. Include the negative sign ( ). a bank withdrawal of $30 30 a decrease of 9 points 9 2 below zero 2 Opposites are the same distance from zero on a number line, but in different directions. 3 and 3 are opposites because each number is 3 units from zero on a number line. Integers are the set of all whole numbers and their opposites. Name a positive or negative number to represent each situation. 1. an increase of 3 points 2. spending $10 3. earning $25 4. a loss of 5 yards Write each integer and its opposite. Then graph them on the number line

5 Name Date Class Challenge Boiling Up and Freezing Down Draw a line on the thermometer to show each given temperature record. Then label each state s name at its correct line on the thermometer. 1. The lowest temperature in California was recorded on January 20, It was 45 F. 2. The highest temperature in North Carolina was recorded on August 21, It was 110 F. 3. The lowest temperature in Georgia was recorded on January 27, It was 17 F. 4. The highest temperature in Maine was recorded on July 10, It was 105 F. 5. The lowest temperature in Missouri was recorded on February 13, It was 40 F. 6. The lowest temperature in Texas was recorded on February 8, It was 23 F. 7. The highest temperature in Maryland was recorded on July 10, It was 109 F. 8. The lowest temperature in Massachusetts was recorded on January 12, It was 35 F. 9. The highest temperature in Oklahoma was recorded on June 27, It was 120 F. 10. The highest temperature in Mississippi was recorded on July 29, It was 115 F.

6 Problem Solving Integers and Absolute Value Write the correct answer. 1. The element mercury is used in thermometers because it expands as it is heated. Mercury melts at 38 F below zero. Write this temperature as an integer. 2. Denver, Colorado, earned the nickname Mile High City because of its elevation of 5,280 feet above sea level. Write Denver s elevation as an integer in feet and miles. 3. The lowest temperature recorded in San Francisco was 20 F. Buffalo s lowest recorded temperature was the opposite of San Francisco s. What was Buffalo s record temperature? 5. In 1960, explorers on the submarine Trieste 2 set the world record for the deepest dive. The ship reached 35,798 feet below sea level. Write this depth as an integer. Circle the letter of the correct answer. 7. Which situation cannot be represented by the integer 10? A an elevation of 10 feet below sea level B a temperature increase of 10 F C a golf score of 10 under par D a bank withdrawal of $10 9. The elevation of the Dead Sea is about 1,310 feet below sea level. Which integer represents this elevation? A 1,310 B 131 C 131 D 1, Antarctica holds the record for the lowest temperature recorded on Earth. That temperature in degrees Fahrenheit is 128 degrees below zero. What is Earth s lowest recorded temperature written as an integer? 6. In 1960, Joseph W. Kittinger, Jr., set the record for the highest parachute jump. He jumped from an air balloon at 102,800 feet above sea level. Write this altitude as an integer. 8. Paper was invented in China one thousand, nine hundred years ago. Which integer represents this date? F 1,900 G 900 H 1,900 J 1, The quarterback had a 10-yard loss and then a 25-yard gain. Which integer represents a 25-yard gain? F 25 G 10 H 25 J 10

7 Reading Strategies Use Context We get information from the numbers we read. A positive number is greater than zero. The plus sign (+) denotes a positive number. If no sign is shown, the number is positive. Our car travels 55 miles per hour. 55 or +55 The temperature climbed to or +90 Write the positive number for each of the following situations. 1. Alicia put $25 in her savings account. 2. Oklahoma City is 1,195 feet above sea level. 3. Our football team gained 12 yards on the last play. A negative number is less than zero. A negative sign ( ) is always used to denote a negative number. Death Valley is 282 feet below sea level. 282 The temperature dipped to 12 below zero. 12 Write the negative number for each of the following situations. 4. Dave withdrew $50 from his savings account. 5. The coldest temperature recorded in Greenland was 87 F below zero. 6. Oarfish live at 3,000 feet below sea level.

8 Puzzles, Twisters & Teasers What Number Am I? I am one of the numbers in the box below. Use the clues to eliminate numbers that are not me. What number is left? You must use the clues in order I am an integer, so cross out any number that is not an integer. 2. My opposite and I are both in the box, so cross out any number that does not have an opposite in the box. 3. I could be a weather temperature recorded in degrees Celsius on Earth, so cross out any number that is too high. 4. Now cross out the opposite of #3. 5. If I were a temperature, I would be the lowest temperature not yet crossed out. What number am I?

9 Answers LESSON Practice A 1. B 2. H 3. A 4. J or Practice B or or and and and and CODE The elevation of Death Valley is 282 feet. The elevation of Mount McKinley is +20,320 feet. Review for Mastery , , , , 5 Practice C 1. a loss of 5 yards 2. a loss of 27 points F above zero 4. a deposit of $ feet below sea level meters above sea level , No; integers must be whole numbers, and there are no whole numbers between 0 and 1.

10 Challenge ,195 or or ,000 Puzzles, Twisters & Teasers 1. Cross out 13.4, , 4.2, Cross out 38, 1, Cross out Cross out Cross out 42, 7, and 7 42 Problem Solving F 2. +5,280 feet or +1 mile F F feet ,800 feet 7. B 8. H 9. A 10. H Reading Strategies or +25