Big Ideas Math Book 7th Grade Answer Key Chapter 1 Adding and Subtracting Rational Numbers<\/h2>\n
Check Big Ideas Math Answers Grade 7 Chapter 1 Adding and Subtracting Rational Numbers here. With the help of this material, you can attend the mock tests and know the areas in which you are weak. Attending mock tests is the most important aspect of clearing the exams. If you know the weak areas, then you can easily work on them and become perfect in that concept.<\/p>\n
Big Ideas Math 7th Grade Solution Key Chapter 1 pdf is available here. You can get it for free of cost where the questions and step by step solutions are provided. Tap on the below given links and get access to each concept. Refer to important questions, concepts and prepare timetable according to the topics present in each chapter.<\/p>\n
Performance<\/strong><\/p>\n Lesson: 1 Rational Numbers<\/strong><\/p>\n Lesson: 2 Adding Integers<\/strong><\/p>\n Lesson: 3 Adding Rational Numbers<\/strong><\/p>\n Lesson: 4 Subtracting Integers<\/strong><\/p>\n Lesson: 5 Subtracting Rational Numbers<\/strong><\/p>\n Chapter: 1 – Adding and Subtracting Rational Numbers<\/strong><\/p>\n STEAM Video<\/strong><\/p>\n Freezing Solid<\/strong><\/p>\n The Celsius temperature scale is de\ufb01ned using the freezing point,0\u00b0C, and the boiling point,100\u00b0C, of water. Why do you think the scale is de\ufb01ned using these two points? Performance Task<\/strong><\/p>\n Melting Matters<\/strong><\/p>\n After completing this chapter, you will be able to use the STEAM concepts you learned to answer the questions in the Video Performance Task. You will answer questions using the melting points of the substances below. Getting Ready for Chapter<\/strong><\/p>\n Chapter Exploration<\/p>\n Question 1. Question 2. Vocabulary<\/strong><\/p>\n The following vocabulary terms are de\ufb01ned in this chapter. Think about what each term might mean and record your thoughts. Recall that integers are the set of whole numbers and their opposites. A rational number is a number that can be written as \\(\\frac{a}{b}\\), where a and b are integers and b \u2260 0.<\/p>\n EXPLORATION 1<\/strong><\/p>\n Using a Number Line<\/strong><\/p>\n Work with a partner. Make a number line on the \ufb02oor. Include both negative numbers and positive numbers.<\/strong> b. Stand on a rational number that is not an integer. Then have your partner stand on any other number. Which number is greater? How do you know? c. Stand on any number other than 0 on the number line. Can your partner stand on a number that is: Answer 1 : For each case in which it was not possible to stand on a number as directed, explain why it is not possible. In each of the other cases, how can you decide where your partner can stand?<\/p>\n 1.1 Lesson<\/strong><\/p>\n Try It<\/strong> Question 1. Question 2. Question 3. Try It<\/strong><\/p>\n Copy and complete the statement using <, >, or =.<\/strong><\/p>\n Question 4. Question 5. Question 6. Self-Assessment for Concepts & Skills<\/strong><\/p>\n Solve each exercise. Then rate your understanding of the success criteria in your journal.<\/p>\n Question 7. Question 8. COMPARING RATIONAL NUMBERS<\/strong> Question 9. Question 10. Explanation: Question 11. Question 12. Answer : Self-Assessment for Problem Solving<\/strong><\/p>\n Solve each exercise. Then rate your understanding of the success criteria in your journal.<\/p>\n Question 13. Question 14. Review & Refresh<\/strong><\/p>\n Write the ratio.<\/p>\n 2. Ratio = \\(\\frac{Number of Bears}{Number of Deer}\\) = \\(\\frac{4}{6}\\)=\\(\\frac{2}{3}\\)<\/p>\n 3. Ratio = \\(\\frac{Number of Bears}{Number of Animals}\\) = \\(\\frac{4}{10}\\)=\\(\\frac{2}{5}\\)<\/p>\n 4. Ratio = \\(\\frac{Number of Animals}{Number of Deer}\\) = \\(\\frac{10}{6}\\)= \\(\\frac{5}{3}\\)<\/p>\n Find the GCF of the numbers.<\/strong><\/p>\n Question 5. Question 6. Question 7. Question 8. Concepts, Skills, & Problem Solving<\/strong><\/p>\n NUMBER SENSE<\/strong> Question 9. Question 10. Question 11. FINDING ABSOLUTE VALUES<\/strong> Question 12. Question 13. Answer: Question 14. Answer: Question 15. Answer: Question 16. Answer: Question 17. Answer: Question 18. Answer: Question 19. Answer: Question 20. Answer: Question 21. Answer: Question 22. Answer: Question 23. Answer: Question 24. Answer: Question 25. Answer: Question 26. Answer: Question 27. Answer: COMPARING RATIONAL NUMBERS<\/strong> Question 28. Question 29. Question 30. Question 31. Question 32. Question 33. Question 34. Question 35. Question 36. YOU BE THE TEACHER<\/strong> Question 37. Question 38. Question 39. Question 40. Answer: Question 41. ORDERING RATIONAL NUMBERS Question 42. Question 43. Question 44. Question 45. Question 46. Question 47. Reasoning<\/strong> Question 48. Question 49.\n
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<\/a>Adding and Subtracting Rational Numbers STEAM VIDEO\/Performance<\/h3>\n
\nWatch the STEAM Video \u201cFreezing Solid.\u201d Then answer the following questions.<\/strong>
\n1. In the video, Tony says that the freezing point of wax is 53\u00b0C and the boiling point of wax is 343\u00b0C.
\na. Describe the temperature of wax that has just changed from liquid form to solid form. Explain your reasoning.
\nb. After Tony blows out the candle, he demonstrates that there is still gas in the smoke. What do you know about the temperature of the gas that is in the smoke?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.png\")
\nc. In what form is wax when the temperature is at 100\u00b0C, the boiling point of water? Consider wax in solid, liquid, and gaseous forms. Which is hottest? coldest?<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-2.png\")
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-3.png\")
\nYou will graph the melting points of the substances on a number line to make comparisons. How is the freezing point of a substance related to its melting point? What is meant when someone says it is below freezing outside? Explain.<\/p>\n<\/a>Adding and Subtracting Rational Numbers Getting Ready for Chapter 1<\/h3>\n
\nWork with a partner. Plot and connect the points to make a picture.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-4.png\")
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-4.1.png\")
<\/p>\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Adding](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Adding-and-Subtracting-Rational-Numbers-Getting-Ready-for-Chapter-1-Question-1.png\")
<\/p>\n
\nCreate your own \u201cdot-to-dot\u201d picture. Use atleast 20 points.
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Adding](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-2.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-5.png\")
<\/p>\n<\/a>Lesson 1.1 Rational Numbers<\/h3>\n
\na. Stand on an integer. Then have your partner stand on the opposite of the integer. How far are each of you from 0? What do you call the distance between a number and 0 on a number line?
\nAnswer :
\nI stood on 4 and my friend stood on -4
\nThe distance between 0 and 4 is 4 units
\nThe distance between 0 and -4 is 4 units.
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-a\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-a.jpg\")
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-6.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-b\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-b.jpg\")
\nI stand on 3\/2 and my friend stands on 2.5
\n2.5 > 3\/2
\nExplanation:
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-7.png\")
<\/p>\n\n
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-1\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-1.jpg\")
\nAnswer 2 :
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-2\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-2.jpg\")
\nAnswer 3 :
\nless than your number and the same distance from 0 will be only the opposite of the number .
\nThe opposite of 1.5 is – 1.5 .<\/p>\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-3\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-3-1.jpg\")
\nAnswer 4 :
\nless than your number and farther from 0
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-4\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Rational-Numbers-Exploration-1-c-4.jpg\")
<\/p>\n
\nFind the absolute value.<\/p>\n
\n| 7 |
\nAnswer:
\nThe Absolute value of 7 is 7
\nThe distance between 0 and 7 is 7
\n| 7 |\u00a0 = 7
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-1\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-1.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-8.png\")
\nAnswer:
\nThe Absolute value of -5\/3 is 5\/3
\nThe distance between 0 and -5\/3 is 5\/3
\n = 5\/3
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-2\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-2.jpg\")
<\/p>\n
\n| -2.6 |
\nAnswer:
\nThe Absolute value of -2.6 is 2.6
\nThe distance between 0 and -2.6 is 2.6
\n| -2.6 | = 2.6
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-3\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-3.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-8.1.png\")
\nAnswer:
\n| 9 | = 9
\n| -9| = 9
\nboth the values are same | 9 | = | -9 |
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-4\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-4.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-8.2.png\")
\nAnswer:
\n|\\(\\frac{1}{2}\\)| =\\(\\frac{1}{2}\\)
\n–\\(\\frac{1}{2}\\)\u00a0 \u00a0 <\u00a0 –\\(\\frac{1}{4}\\)
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-5\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-5.jpg\")
\nso –\\(\\frac{1}{2}\\)\u00a0 \u00a0 <\u00a0 –\\(\\frac{1}{4}\\)
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-8.3.png\")
\nAnswer:
\n|-4.5| =|4.5|
\n7\u00a0 > -4.5
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-6\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-6.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\nVOCABULARY<\/strong>
\nWhich of the following numbers are integers?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-9.png\")
\nAnswer:
\n9,-1, 15 are integers
\nExplanation:
\n-3, -2, -1, 0, 1, 2, 3, \u2026\u2026) So, every natural number is an\u00a0integer, every\u00a0whole number\u00a0is an\u00a0integer, and every negative number is an\u00a0integer. … The set of\u00a0integers\u00a0does not include fractions i.e p\/q form or numbers which are in decimals eg: 2.4,\u00a03.2\u00a0etc.<\/p>\n
\nVOCABULARY<\/strong>
\nWhat is the absolute value of a number?
\nAnswer:
\nThe\u00a0absolute value of a number\u00a0means the distance from 0.
\nExample :-
\n5 is 5 units away from 0.
\nSo the absolute value\u00a0of that -5 is 5.
\nYou cannot have negative distance, so it has to be positive.
\nThe absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x. All absolute values are positive .<\/p>\n
\nCopy and complete the statement using <, >, or =. Use a number line to justify your answer.<\/strong><\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-10.1.png\")
\nAnswer:
\n|-\\(\\frac{7}{2}\\)|=\\(\\frac{7}{2}\\) = 3.5
\n3.5 = |-3.5|
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-9\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-9.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-10.2.png\")
\nAnswer :
\n|\\(\\frac{11}{4}\\)| = 2.75
\n|-2.8| = 2.8
\n2.75 < 2.8
\n2.75 and\u00a0 2.8 . Graph both the points on number line .![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-10\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-10.jpg\")
<\/p>\n
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\nWRITING<\/strong>
\nYou compare two numbers, a and b. Explain how a > b and | a | < | b | can both be true statements.
\nAnswer:
\nTake
\na = 2
\nb = -4
\nCompare we get
\na > b\u00a0 ,\u00a0 2 > -4
\n| a | = | 2 | = 2
\n| b | = | -4 | = 4
\nCompare we get
\n| a | < | b | ,\u00a0 2 < 4
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-11\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.1-Question-11.jpg\")
<\/p>\n
\nWHICH ONE DOESN\u2019T BELONG?<\/strong>
\nWhich expression does not belong with the other three? Explain your reasoning.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-10.png\")
<\/p>\n
\nThird number -6 is different
\nExplanation:
\n| 6 | = 6
\n| -6 | = – 6
\nArrange the numbers in order
\n6 , 6 , – 6 , 6
\nThe 3rd number that is -6 is a negative all other numbers are positive numbers so -6 is different from others.<\/p>\n
\nAn airplane is at an elevation of 5.5 miles. A submarine is at an elevation of 10.9 kilometers. Which is closer to sea level? Explain.
\nAnswer:
\nAirplane is closer to sea level as it is only 8.85 kilometres away from sea level
\nExplanation:
\nairplane is at an elevation of 5.5 miles =\u00a0 5.5
\n1 mile = 1.6 kilometres
\n5.5 miles = 8.85 kilometres.
\nsubmarine is at an elevation of 10.9 kilometres. =\u00a0 10.9 kms
\nAirplane is closer to sea level as it is only 8.85 kilometres away from sea level
\n8.85 < 10.9<\/p>\n
\nThe image shows the corrective powers (in diopters) of contact lenses for eight people. The farther the number of diopters is from 0, the farsightedness greater the power of the lens. Positive diopters correct nearsightedness and negative diopters correct nearsightedness. Who is the most nearsighted? the most farsighted? Who has the best eyesight?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-11.png\")
\nAnswers:
\nThe people with nearsightedness are with Positive diopters\u00a0 = 0.75 , 2.5, 1.5
\n0.75>1.5>2.5
\nthe most nearsighted is 0.75 that is patient 2
\nThe people with are farsightedness are with Negative diopters = -1.25, -3.75, -2.5, -4.75,-7.5
\n-7.5<-4.75<-3.75<-2.5<-1.25
\nthe most farsighted is -7.5 that is patient 7
\nThe best eyesight is for patient who has sight of 0 , after that patient 2 as best sight.<\/p>\n<\/a>Rational Numbers Homework & Practice 1.1<\/h3>\n
\n
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-12.png\")
\nAnswer:
\nNumber of Animals = 10
\nNumber of Deer = 6
\nNumber of Bears = 4
\n1. Ratio = \\(\\frac{Number of Deer}{Number of Bears}\\) = \\(\\frac{6}{4}\\)=\\(\\frac{3}{2}\\)<\/p>\n
\n8, 20
\nAnswer:
\nFactors of 8 = 2 \u00d7 2 \u00d7 2
\nFactors of 20 = 2 \u00d7 2 \u00d7 5
\nThe common in both numbers = 2 \u00d7 2 = 4
\n4 is the gcf
\nExplanation:
\nthe\u00a0GCF\u00a0of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the\u00a0GCF\u00a0is 1.<\/p>\n
\n12, 30
\nAnswer:
\nFactors of 12 = 2 \u00d7 2 \u00d7 3
\nFactors of 30 = 2 \u00d7 3\u00d7 5
\nThe common in both numbers = 2 \u00d7 3 = 6
\n6 is the gcf
\nExplanation:
\nthe\u00a0GCF\u00a0of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the\u00a0GCF\u00a0is 1.<\/p>\n
\n7, 28
\nFactors of 7 = 7
\nFactors of 28 = 2 \u00d7 2 \u00d7 7
\nThe common in both numbers = 7
\n7 is the gcf
\nExplanation:
\nthe\u00a0GCF\u00a0of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the\u00a0GCF\u00a0is 1.<\/p>\n
\n48, 72
\nFactors of 48 = 2 \u00d7 2 \u00d7 2 \u00d72 \u00d7 3
\nFactors of 72 = 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3
\nThe common in both numbers = 2 \u00d7 2 \u00d7 2 \u00d7 3= 24
\n24 is the gcf
\nExplanation:
\nthe\u00a0GCF\u00a0of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the\u00a0GCF\u00a0is 1.<\/p>\n
\nDetermine which number is greater and which number is farther from 0. Explain your reasoning.<\/strong> (See Exploration 1, p. 3.)<\/p>\n
\n4, -6
\nAnswer:
\n4 > -6
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-9\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-9.jpg\")
\nExplanation:
\nAs distance cant be negative. so the -6 is farther from 0.
\nWhen comparing the values of two numbers, you can use a number line to determine which number is greater. The number on the right is always greater than the number on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-13.png\")
\nAnswer:
\n\\(\\frac{7}{2}\\) = 3.5
\n– 3.25 < 3.5
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-10\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-10.jpg\")
\nExplanation:
\nAll negative numbers are lesser than positive numbers.
\nWhen comparing the values of two numbers, you can use a number line to determine which number is greater. The number on the right is always greater than the number on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-14.png\")
\nAnswer:
\n–\\(\\frac{4}{5}\\) = – 0.8
\n– 0.8 > -1.3
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-11\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-11.jpg\")
\nExplanation:
\nWhen comparing the values of two numbers, you can use a number line to determine which number is greater. The number on the right is always greater than the number on the left.<\/p>\n
\nFind the absolute value.<\/strong><\/p>\n
\n| 8 |
\nAnswer :
\nThe Absolute value of 8 is 8
\nThe distance between 0 and 8 is 8
\n| 8 |\u00a0 = 8
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-12\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-12.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n| -2 |<\/p>\n
\nThe Absolute value of -2 is 2
\nThe distance between 0 and -2 is 2
\n| -2 |\u00a0 = 2
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-13\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-13.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.
\nDistance cant be negative.<\/p>\n
\n| -10 |<\/p>\n
\nThe Absolute value of -10 is 10
\nThe distance between 0 and -10 is 10
\n| -10 |\u00a0 = 10
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-14\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-14.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.
\nDistance cant be negative.<\/p>\n
\n| 10 |<\/p>\n
\nThe Absolute value of 10 is 10
\nThe distance between 0 and 10 is 10
\n| 10 |\u00a0 = 10
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-15\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-15.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n| 0 |<\/p>\n
\nThe Absolute value of 0 is 0
\nThe distance between 0 and 0 is 0
\n| 0 |\u00a0 = 0
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-16\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-16.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-15.png\")
<\/p>\n
\nThe Absolute value of \\(\\frac{1}{3}\\) is \\(\\frac{1}{3}\\)
\nThe distance between 0 and \\(\\frac{1}{3}\\) is \\(\\frac{1}{3}\\)
\n| \\(\\frac{1}{3}\\) |\u00a0 = \\(\\frac{1}{3}\\)
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-17\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-17.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-16.png\")
<\/p>\n
\nThe Absolute value of \\(\\frac{7}{8}\\) is \\(\\frac{7}{8}\\)
\nThe distance between 0 and \\(\\frac{7}{8}\\) is \\(\\frac{7}{8}\\)
\n| \\(\\frac{7}{8}\\) |\u00a0 = \\(\\frac{7}{8}\\)
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-18\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-18-1.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-17.png\")
<\/p>\n
\nThe Absolute value of –\\(\\frac{5}{9}\\) is \\(\\frac{5}{9}\\)
\nThe distance between 0 and \\(\\frac{5}{9}\\) is \\(\\frac{5}{9}\\)
\n| –\\(\\frac{5}{9}\\) |\u00a0 = \\(\\frac{5}{9}\\)
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-19\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-19.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.
\nDistance cant be negative<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-18.png\")
<\/p>\n
\nThe Absolute value of \\(\\frac{11}{8}\\) is \\(\\frac{11}{8}\\)
\nThe distance between 0 and \\(\\frac{11}{8}\\) is \\(\\frac{11}{8}\\)
\n| \\(\\frac{11}{8}\\) |\u00a0 = \\(\\frac{11}{8}\\)
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-20\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-20-1.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n| 3.8 |<\/p>\n
\nThe Absolute value of 3.8 is 3.8
\nThe distance between 0 and 3.8 is 3.8
\n| 3.8 |\u00a0 = 3.8
\n![\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-28\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-28-2.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n| -5.3 |<\/p>\n
\nThe Absolute value of -5.3 is 5.3
\nThe distance between 0 and -5.3 is 5.3
\n| -5.3 |\u00a0 = 5.3
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-22\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-22.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.
\nDistance cant be negative<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-19.png\")
<\/p>\n
\nThe Absolute value of –\\(\\frac{15}{4}\\) is \\(\\frac{15}{4}\\)
\nThe distance between 0 and –\\(\\frac{15}{4}\\) is \\(\\frac{15}{4}\\)
\n| –\\(\\frac{15}{4}\\)|\u00a0 = \\(\\frac{15}{4}\\) = 3.75
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-23\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-23.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.
\nDistance cant be negative<\/p>\n
\n| 7.64 |<\/p>\n
\nThe Absolute value of 7.64 is 7 .64
\nThe distance between 0 and 7.64 is 7.64
\n| 7.64 |\u00a0 = 7.64
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-24\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-24.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n| -18.26 |<\/p>\n
\nThe Absolute value of 18.26 is 18.26
\nThe distance between 0 and -18.26 is 18.26
\n| -18.26 |\u00a0 = 18.26
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-25\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-25.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.
\nDistance cant be negative<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-20.png\")
<\/p>\n
\n4\\(\\frac{2}{5}\\)=\\(\\frac{22}{5}\\) = 4.4
\nThe Absolute value of 4\\(\\frac{2}{5}\\) is 4.4
\nThe distance between 0 and 4.4 is 4.4
\n| 4.4 |\u00a0 = 4.4
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-26\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-26.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-21.png\")
<\/p>\n
\n-5\\(\\frac{1}{6}\\) = –\\(\\frac{31}{6}\\) =-5.1
\nThe Absolute value of -5.1 is 5.1
\nThe distance between 0 and -5.1 is 5.1
\n| -5.1 |\u00a0 = 5.1
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-27\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-27.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive.
\nDistance cant be negative<\/p>\n
\nCopy and complete the statement using <, >, or =.<\/strong><\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-22.png\")
\nAnswer:
\n|-5| = 5
\nGraph 2 and 5
\n2 < 5
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-28\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-28.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-23.png\")
\nAnswer:
\n|-1| = 1
\n|-8| = 8
\nGraph 1 and 8
\n1 < 8
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-29\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-29.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-24.png\")
\nAnswer:
\n|5| = 5
\n|-5| = 5
\nBoth are equal
\n|5| = |-5|
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-30\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-30.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-25.png\")
\nAnswer:
\n|-2| = 2
\nGraph 2 and 0
\n|-2| > 0
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-31\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-31.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-26.png\")
\nAnswer:
\n|-\\(\\frac{7}{8}\\)| = I-0.875I = 0.875
\nGraph 0.4 and 0.8
\n0.4\u00a0 < 0.875
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-32\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-32.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-27.png\")
\nAnswer:
\n|4.9| = 4.9
\n|-5.3| = 5.3
\nGraph 4.9 and 5.3
\n|4.9| < |-5.3|
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-33\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-33.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-28.png\")
\nAnswer:
\n|4.7| =4.7
\n1\/2 = 0.5
\n– 4.7\u00a0 <\u00a0 0.5
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-34\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-34.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-29.png\")
\nAnswer:
\n|-\\(\\frac{3}{4}\\)| =\\(\\frac{3}{4}\\)
\n|-\\(\\frac{3}{4}\\)|\u00a0 > -|\\(\\frac{3}{4}\\)|
\nGraph \\(\\frac{3}{4}\\) and –\\(\\frac{3}{4}\\)
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-35\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-35.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-30.png\")
\nAnswer:
\n-|1\\(\\frac{1}{4}\\)| = –\\(\\frac{5}{4}\\) = -1.25
\n-|-1\\(\\frac{3}{8}\\)| = –\\(\\frac{11}{8}\\) = -1.375
\nGraph -1.25 and – 1.375
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-36\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-36.jpg\")
\nExplanation:
\nThe distance between a number and 0 on a number line is called as Absolute values. The absolute value is written as |x| , Namely, |x| = x\u00a0 and |-x| = x.\u00a0 All absolute values are positive .
\nWhen\u00a0comparing\u00a0the values of two\u00a0numbers, you can use a\u00a0number line\u00a0to determine which\u00a0number\u00a0is greater. The\u00a0number\u00a0on the right is always greater than the\u00a0number\u00a0on the left.<\/p>\n
\nYour friend compares two rational numbers. Is your friend correct? Explain your reasoning.<\/strong><\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-31.png\")
\nAnswer:
\nNo,
\nExplanation:
\nAbsolute value of |-10| is 10
\n10\u00a0 > -10
\nAll Negative numbers are lesser than positive numbers.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-32.png\")
\nAnswer:
\nYes,
\nExplanation:
\n|-\\(\\frac{4}{5}\\)| = \\(\\frac{4}{5}\\) = 0.8
\n-|\\(\\frac{1}{2}\\)| = –\\(\\frac{1}{2}\\) = – 0.5
\n0.8 > – 0.5
\nAll Negative numbers are lesser than positive numbers.<\/p>\n
\nOPEN-ENDED<\/strong>
\nWrite a negative number whose absolute value is greater than 3
\nAnswer:
\nNegative number -4
\n|-4| = 4
\n|-4| > 3<\/p>\n
\nMODELING REAL LIFE<\/strong>
\nThe summit elevation of a volcano is the elevation of the top of the volcano relative to sea level. The summit elevation of Kilauea, a volcano in Hawaii, is 1277 meters. The summit elevation of Loihi, an underwater volcano in Hawaii, is -969 meters. Which summit is higher? Which summit is closer to sea level?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-33.png\")
<\/p>\n
\nSummit elevation of Kilauea, a volcano in Hawaii = 1277 meters.
\nSummit elevation of Loihi, an underwater volcano in Hawaii, = -969 meters.
\n1277 > -969
\nThe lesser summit is closer to the sea level
\nThe summit is higher is elevation of Kilauea,a volcano in Hawaii<\/p>\n
\nMODELING REAL LIFE<\/strong>
\nThe freezing point of a liquid is the temperature at which the liquid becomes a solid.
\na. Which liquid in the table has the lowest freezing point?
\nb. Is the freezing point of mercury or butter closer to the freezing point of water, 0\u00b0C?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-34.png\")
\nAnswer:
\na. The liquid which has low freezing point is Airplane Fuel that is -53 \u00b0C.
\nb. The Freezing point of mercury = -39 \u00b0C
\nThe Freezing point of butter = 35 \u00b0C
\nThe Freezing point of water = 0 \u00b0C
\n-39 > 0 > 35 \u00b0C
\nThe Freezing point of butter is closer to freezing point of water .<\/p>\n
\n<\/strong>Order the values from least to greatest.<\/strong><\/p>\n
\n8, | 3 |, -5, |-2|, -2
\nAnswer:
\n| 3 | = 3
\n|-2| = 2
\n8, 3, -5, 2, -2
\n-5 < -2 < 2 < 3 <8
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-42\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-42.jpg\")
\nExplanation:
\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.
\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n
\n| -6.3 |, -7.2, 8, | 5 |, -6.3
\nAnswer:
\n| -6.3 | = 6.3
\n| 5 | = 5
\n6.3 , -7.2, 8, 5 , -6.3
\n-7.2 < -6.3 < 5 < 6.3 < 8
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-43\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-43.jpg\")
\nExplanation:
\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.
\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-35.png\")
\nAnswer :
\n| 3.5 | = 3.5
\n| -1.8 | = 1.8
\n| 2.7 | = 2.7
\n3\\(\\frac{2}{5}\\) = \\(\\frac{17}{5}\\) = 3.4
\n3.5, 1.8, 4.6, 3.4, 2.7
\n1.8 < 2.7 < 3.4 < 3.5 < 4.6
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-44\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-44.jpg\")
\nExplanation:
\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.
\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-36.png\")
\nAnswer:
\n|-\\(\\frac{3}{4}\\)|=\\(\\frac{3}{4}\\)
\n|\\(\\frac{5}{8}\\)| = \\(\\frac{5}{8}\\)
\n|\\(\\frac{1}{4}\\)| = \\(\\frac{1}{4}\\)
\n|-\\(\\frac{1}{2}\\)|= \\(\\frac{1}{2}\\)
\n|-\\(\\frac{7}{8}\\)|= \\(\\frac{7}{8}\\)
\n\\(\\frac{1}{4}\\) < \\(\\frac{1}{2}\\) < \\(\\frac{5}{8}\\) <\\(\\frac{3}{4}\\) \u00a0< \\(\\frac{7}{8}\\)
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-45\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-45.jpg\")
\nExplanation:
\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.
\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n
\nPROBLEM SOLVING<\/strong>
\nThe table shows golf scores, relative to par.
\na. The player with the lowest score wins. Which player wins?
\nb. Which player is closest to par?
\nc. Which player is farthest from par?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-37.png\")
\nAnswer a :
\nPlayer 3 < Player 4 < Player 2 < Player 5 < Player 1
\n-4 < -1 < 0 < 2 < 5
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-46\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-46.jpg\")
\nThe Lowest score is -4 of player 3
\nAnswer b :
\nThe player closest to par is player 2 (0)
\nAnswer c :
\nThe player is farthest from par is\u00a0 player 1 (5)<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou use the table below to record the temperature at the same location each hour for several hours. At what time is the temperature coldest? At what time is the temperature closest to the freezing point of water, 0\u00b0C?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-38.png\")
\nAnswer :
\n3:00 p.m < 11:00 am <10:00 am < 2:00 p.m < 12:00 p.m\u00a0 < 1:00 p.m
\n-3.4 < – 2.7 < -2.6 < -1.25 < -0.15 < 1.6
\nThe Temperature which is coldest is\u00a0 – 3.4 \u00b0C\u00a0 at 3:00 p.m
\nTime is the temperature closest to the freezing point of water, 0\u00b0C is\u00a0 – 1.25 at 2:00 p.m
\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-47\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Rational-Numbers-Homework-Practice-1.1-Question-47.jpg\")
<\/p>\n
\nDetermine whether n \u2265 0 or n \u2264 0<\/strong><\/p>\n
\nn + | -n | = 2n
\nAnswer:
\n| -n | = n
\nn + n = 2n
\nAbove statement is true.<\/p>\n
\nn + | -n | = 0
\nAnswer:
\n| -n | = n
\nn + n = 2n not equal to 0
\nSo, above equation is not equal to 0 .<\/p>\n
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-39.png\")
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-40.png\")
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-41.png\")
![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-Lesson-1.2-Adding-Integers-Exploration-1-c.jpg\")
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-42.png\")
<\/p>\n![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-1\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-1.jpg\")
![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-2\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-2.jpg\")
![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-3\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-3.jpg\")
![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-11\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-11.jpg\")
![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-12\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-12.jpg\")
![\"Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-13\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-7th-Grade-Answer-Key-Chapter-1-Adding-and-Subtracting-Rational-Numbers-1.2-Lesson-Question-13.jpg\")
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-7-Chapter-1-Adding-and-Subtracting-Rational-Numbers-43.png\")
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