{"id":79795,"date":"2022-06-10T09:07:31","date_gmt":"2022-06-10T03:37:31","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=79795"},"modified":"2022-05-10T14:14:39","modified_gmt":"2022-05-10T08:44:39","slug":"eureka-math-grade-8-module-1-lesson-1","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-8-module-1-lesson-1\/","title":{"rendered":"Eureka Math Grade 8 Module 1 Lesson 1 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 8th Grade Module 1 Lesson 1 Answer Key<\/h2>\n

Eureka Math Grade 8 Module 1 Lesson 1 Example Answer Key<\/h3>\n

Example 1-5
\nWork through Examples 1\u20135 as a group, and supplement with additional examples if needed.<\/p>\n

Example 1.
\n5\u00d75\u00d75\u00d75\u00d75\u00d75=
\nAnswer:
\n56<\/sup><\/p>\n

Example 2.
\n\\(\\frac{9}{7}\\)\u00d7\\(\\frac{9}{7}\\)\u00d7\\(\\frac{9}{7}\\)\u00d7\\(\\frac{9}{7}\\)=
\nAnswer:
\n(\\(\\frac{9}{7}\\))4<\/sup><\/p>\n

Example 3.
\n(-\\(\\frac{4}{11}\\))3<\/sup>=
\nAnswer:
\n(-\\(\\frac{4}{11}\\))\u00d7(-\\(\\frac{4}{11}\\))\u00d7(-\\(\\frac{4}{11}\\))<\/p>\n

Example 4.
\n(-2)6<\/sup>=
\nAnswer:
\n(-2)\u00d7(-2)\u00d7(-2)\u00d7(-2)\u00d7(-2)\u00d7(-2)<\/p>\n

Example 5.
\n3.84<\/sup>=3.8\u00d73.8\u00d73.8\u00d73.8<\/p>\n

Eureka Math Grade 8 Module 1 Lesson 1 Exercise Answer Key<\/h3>\n

Exercise 1.
\n\"Eureka
\nAnswer:
\n47<\/sup><\/p>\n

Exercise 2.
\n\"Eureka
\nAnswer:<\/p>\n

Exercise 3.
\n\"Eureka
\nAnswer:
\n(-11.63)34<\/sup><\/p>\n

Exercise 4.
\n\"Eureka
\nAnswer:
\n15 times<\/p>\n

Exercise 5.
\n\"Eureka
\n=(-5)10<\/sup><\/p>\n

Exercise 6.
\n\"Eureka
\nAnswer:
\n(\\(\\frac{7}{2}\\))21<\/sup><\/p>\n

Exercise 7.
\n\"Eureka
\nAnswer:
\n(-13)6<\/sup><\/p>\n

Exercise 8.
\n\"Eureka
\nAnswer:
\n(-\\(\\frac{1}{14}\\))10<\/sup><\/p>\n

Exercise 9.
\n\"Eureka
\nAnswer:
\nx185<\/sup><\/p>\n

Exercise 10.
\n\"Eureka
\nAnswer:
\nn times<\/p>\n

Exercise 11.
\nWill these products be positive or negative? How do you know?
\n\"Eureka
\nAnswer:
\nThis product will be positive. Students may state that they computed the product and it was positive. If they say that, let them show their work. Students may say that the answer is positive because the exponent is positive; however, this would not be acceptable in view of the next example.<\/p>\n

\"Eureka
\nThis product will be negative. Students may state that they computed the product and it was negative. If so, ask them to show their work. Based on the discussion of the last problem, you may need to point out that a positive exponent does not always result in a positive product.<\/p>\n

The two problems in Exercise 12 force the students to think beyond the computation level. If students struggle, revisit the previous two problems, and have them discuss in small groups what an even number of negative factors yields and what an odd number of negative factors yields.<\/p>\n

Exercise 12.
\nIs it necessary to do all of the calculations to determine the sign of the product? Why or why not?
\n\"Eureka
\nAnswer:
\nStudents should state that an odd number of negative factors yields a negative product.
\n\"Eureka
\nStudents should state that an even number of negative factors yields a positive product.<\/p>\n

Exercise 13.
\nFill in the blanks indicating whether the number is positive or negative.
\nIf n is a positive even number, then (-55)n<\/sup> is _____
\nAnswer:
\npositive.
\nIf n is a positive odd number, then (-72.4)n<\/sup> is __
\nAnswer:
\nnegative.<\/p>\n

Exercise 14.
\nJosie says that \"Eureka Is she correct? How do you know?
\nAnswer:
\nStudents should state that Josie is not correct for the following two reasons: (1) They just stated that an even number of factors yields a positive product, and this conflicts with the answer Josie provided, and (2) the notation is used incorrectly because, as is, the answer is the negative of 156<\/sup>, instead of the product of 6 copies of -15. The base is (-15). Recalling the discussion at the beginning of the lesson, when the base is negative it should be written clearly by using parentheses. Have students write the answer correctly.<\/p>\n

Eureka Math Grade 8 Module 1 Lesson 1 Problem Set Answer Key<\/h3>\n

Question 1.
\nUse what you know about exponential notation to complete the expressions below.
\n\"Eureka
\nAnswer:
\n(-5)17<\/sup><\/p>\n

\"Eureka
\nAnswer:
\n19 times<\/p>\n

\"Eureka
\nAnswer:
\n45 times<\/p>\n

\"Eureka
\nAnswer:
\n64<\/sup><\/p>\n

\"Eureka
\n=4.313<\/sup><\/p>\n

\"Eureka
\nAnswer:
\n(-1.1)9<\/sup><\/p>\n

\"Eureka
\n(\\(\\frac{2}{3}\\))19<\/sup><\/p>\n

\"Eureka
\n(-\\(\\frac{11}{5}\\))x<\/sup>
\nAnswer:
\nx times<\/p>\n

\"Eureka
\nAnswer:
\n15 times<\/p>\n

\"Eureka
\nAnswer:
\nam<\/sup><\/p>\n

Question 2.
\nWrite an expression with (-1) as its base that will produce a positive product, and explain why your answer is valid.
\nAnswer:
\nAccept any answer with (-1) to an exponent that is even.<\/p>\n

Question 3.
\nWrite an expression with (-1) as its base that will produce a negative product, and explain why your answer is valid.
\nAnswer:
\nAccept any answer with (-1) to an exponent that is odd.<\/p>\n

Question 4.
\nRewrite each number in exponential notation using 2 as the base.
\nAnswer:
\n8=
\nAnswer:
\n23<\/sup><\/p>\n

16=
\nAnswer:
\n24<\/sup><\/p>\n

32 =
\nAnswer:
\n25<\/sup><\/p>\n

64=
\nAnswer:
\n26<\/sup><\/p>\n

128=
\nAnswer:
\n27<\/sup><\/p>\n

256=
\nAnswer:
\n28<\/sup><\/p>\n

Question 5.
\nTim wrote 16 as (-2)4<\/sup>. Is he correct? Explain.
\nAnswer:
\nTim is correct that 16=(-2)4<\/sup>. (-2)(-2)(-2)(-2)=(4)(4)=16.<\/p>\n

Question 6.
\nCould -2 be used as a base to rewrite 32? 64? Why or why not?
\nAnswer:
\nA base of -2 cannot<\/u> be used to rewrite 32 because (-2)5<\/sup>=-32. A base of -2 can<\/u> be used to rewrite 64 because (-2)6<\/sup>=64. If the exponent, n, is even, (-2)n<\/sup> will be positive. If the exponent, n, is odd, (-2)n<\/sup> cannot be a positive number.<\/p>\n

Eureka Math Grade 8 Module 1 Lesson 1 Exit Ticket Answer Key<\/h3>\n

Question 1.
\na. Express the following in exponential notation:
\n\"Engage
\nAnswer:
\n(-13)35<\/sup><\/p>\n

b. Will the product be positive or negative? Explain.
\nAnswer:
\nThe product will be negative. The expanded form shows 34 negative factors plus one more negative factor. Any even number of negative factors yields a positive product. The remaining 35th negative factor negates the resulting product.<\/p>\n

Question 2.
\nFill in the blank:
\n\"Engage
\nAnswer:
\n4 times<\/p>\n

Question 3.
\nArnie wrote:
\n\"Engage
\nIs Arnie correct in his notation? Why or why not?
\nAnswer:
\nArnie is not correct. The base, -3.1, should be in parentheses to prevent ambiguity. At present the notation is not correct.<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 8th Grade Module 1 Lesson 1 Answer Key Eureka Math Grade 8 Module 1 Lesson 1 Example Answer Key Example 1-5 Work through Examples 1\u20135 as a group, and supplement with additional examples if needed. Example 1. 5\u00d75\u00d75\u00d75\u00d75\u00d75= Answer: 56 Example 2. \u00d7\u00d7\u00d7= Answer: ()4 Example 3. (-)3= Answer: (-)\u00d7(-)\u00d7(-) Example … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/79795"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=79795"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/79795\/revisions"}],"predecessor-version":[{"id":137635,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/79795\/revisions\/137635"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=79795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=79795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=79795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}