Example 1.
\nExpressions with Only Addition, Subtraction, Multiplication, and Division<\/p>\n
What operations are evaluated first?
\nAnswer:
\nMultiplication and division are evaluated first, from left to right.<\/p>\n
What operations are always evaluated last?
\nAnswer:
\nAddition and subtraction are always evaluated last, from left to right.<\/p>\n
Example 2. What operation is evaluated first? What operations are evaluated next? What operations are always evaluated last? What is the final answer? Example 3. Expressions with Parentheses How much will this outing cost? Consider a different scenario: The same family goes to the game as before, but each of the family members wants a drink. How would you write this expression? Why would you add the 5 and 2 first? How much will this outing cost? How many groups are there? What does each group comprise? Example 4. Evaluate the rest of the expression. What do you think will happen when the exponent in this expression is outside of the parentheses? Will the answer be the same? Which should we evaluate first? Evaluate. What happened differently here than in our last example? What should our next step be?<\/p>\n We need to evaluate the exponent next. Evaluate to find the final answer. What do you notice about the two answers? What was different between the two expressions? What conclusions can you draw about evaluating expressions with parentheses and exponents? Exercise 1. Exercise 2. Exercise 3. Exercise 4. Exercise 5. Exercise 6. Exercise 7. Exercise 8. Exercise 9. Evaluate each expression.<\/p>\n Question 1. Question 2. Question 3. Question 4. Question 5. Question 1. Question 2. Question 3. Engage NY Eureka Math 6th Grade Module 4 Lesson 6 Answer Key Eureka Math Grade 6 Module 4 Lesson 6 Example Answer Key Example 1. Expressions with Only Addition, Subtraction, Multiplication, and Division What operations are evaluated first? Answer: Multiplication and division are evaluated first, from left to right. What operations are always evaluated last? … 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\/85850"}],"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=85850"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85850\/revisions"}],"predecessor-version":[{"id":137142,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85850\/revisions\/137142"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=85850"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=85850"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=85850"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nExpressions with Four Operations and Exponents
\n4 + 92<\/sup> \u00f7 3 \u00d7 2 – 2<\/p>\n
\nAnswer:
\nExponents (92<\/sup> = 9 \u00d7 9 = 81)<\/p>\n
\nAnswer:
\nMultiplication and division, from left to right (81 \u00f7 3 = 27; 27 \u00d7 2 = 54)<\/p>\n
\nAnswer:
\nAddition and subtraction, from left to right (4 + 54 = 58; 58 – 2 = 56)<\/p>\n
\nAnswer:
\n56<\/p>\n
\nConsider a family of 4 that goes to a soccer game. Tickets are $5.00 each. The mom also buys a soft drink for $2.00. How would you write this expression?
\nAnswer:
\n4 \u00d7 5 + 2<\/p>\n
\nAnswer:
\n$22<\/p>\n
\nAnswer:
\n4 \u00d7 (5 + 2)<\/p>\n
\nAnswer:
\nWe need to determine how much each person spends. Each person spends $7; then, we multiply by 4 people to figure out the total cost.<\/p>\n
\nAnswer:
\n$28<\/p>\n
\nAnswer:
\n4<\/p>\n
\nAnswer:
\n$5 + $2, or $7<\/p>\n
\nExpressions with Parentheses and Exponents
\n2 \u00d7 (3 + 4)2<\/sup>
\nWhich value will we evaluate first within the parentheses? Evaluate.
\nAnswer:
\nFirst, evaluate 42<\/sup> which is 16; then, add 3.The value of the parentheses is 19.
\n2 \u00d7 (3 + 42<\/sup>)
\n2 \u00d7 (3 + 16)
\n2 \u00d7 19<\/p>\n
\nAnswer:
\n2 \u00d7 19 = 38<\/p>\n
\n2 \u00d7 (3 + 4)2<\/sup><\/p>\n
\nAnswer:
\nAnswers will vary.<\/p>\n
\nAnswer:
\nParentheses
\n2 \u00d7 (3 + 4)2<\/sup>
\n2 \u00d7 (7)2<\/sup><\/p>\n
\nAnswer:
\nThe 4 was not raised to the second power because it did not have an exponent. We simply added the values inside the parentheses.<\/p>\n
\nAnswer:
\n72<\/sup> = 7 \u00d7 7 = 49<\/p>\n
\nAnswer:
\n2 \u00d7 49
\n98<\/p>\n
\nAnswer:
\nThe final answers were not the same.<\/p>\n
\nAnswer:
\nAnswers may vary. In the first problem, a value inside the parentheses had an exponent, and that value was evaluated first because it was inside of the parentheses. In the second problem, the exponent was outside of the parentheses, which made us evaluate what was in the parentheses first; then, we raised that value to the power of the exponent.<\/p>\n
\nAnswer:
\nAnswers may vary. Regardless of the location of the exponent in the expression, evaluate the parentheses first. Sometimes there will be values with exponents inside the parentheses. If the exponent is outside the parentheses, evaluate the parentheses first, and then evaluate to the power of the exponent.<\/p>\nEureka Math Grade 6 Module 4 Lesson 6 Exercise Answer Key<\/h3>\n
\n4 + 2 \u00d7 7
\nAnswer:
\n4 + 14
\n18<\/p>\n
\n36 \u00f7 3 \u00d7 4
\nAnswer:
\n12 \u00d7 4
\n48<\/p>\n
\n20 \u2212 5 \u00d7 2
\nAnswer:
\n20 \u2212 10
\n10<\/p>\n
\n90 \u2212 52<\/sup> \u00d7 3
\nAnswer:
\n90 \u2212 25 \u00d7 3
\n90 \u2212 75
\n15<\/p>\n
\n43<\/sup> + 2 \u00d7 8
\nAnswer:
\n64 + 2 \u00d7 8
\n64 + 16
\n80<\/p>\n
\n2 + (92<\/sup>)
\nAnswer:
\n2 + (81 – 4)
\n2 + 77
\n79<\/p>\n
\n2 . (13 + 5 – 14 \u00f7 (3 + 4)
\nAnswer:
\n2 . (13 + 5 – 14 \u00f7 7)
\n2 . (13 + 5 – 2)
\n2 . 16
\n32<\/p>\n
\n7 + (12 – 32<\/sup>)
\nAnswer:
\n7 + (12 – 9)
\n7 + 3
\n10<\/p>\n
\n7 + (12 – 3)2<\/sup>
\nAnswer:
\n7 + 92<\/sup>
\n7 + 81
\n88<\/p>\nEureka Math Grade 6 Module 4 Lesson 6 Problem Set Answer Key<\/h3>\n
\n3 \u00d7 5 + 2 \u00d7 8 + 2
\nAnswer:
\n15 + 16 + 2
\n33<\/p>\n
\n($1.75 + 2 \u00d7 $0.25 + 5 \u00d7 $0.05) \u00d7 24
\nAnswer:
\n($1.75 + $0.50 + $0.25) \u00d7 24
\n$2.50 \u00d7 24
\n$60.00<\/p>\n
\n(2 \u00d7 6) + (8 \u00d7 4) + 1
\nAnswer:
\n12 + 32 + 1
\n45<\/p>\n
\n((8 \u00d7 1.95) + (3 \u00d7 2.95) + 10.95) \u00d7 1.06
\nAnswer:
\n(15.6 + 8.85 + 10.99) \u00d7 1.06
\n35.4 \u00d7 1.06
\n37.54<\/p>\n
\n((12 \u00f7 3)2<\/sup> – (18 \u00f7 32<\/sup>)) \u00d7 (4 \u00f7 2)
\nAnswer:
\n(42<\/sup> \u2212 (18 \u00f7 9)) \u00d7 (4 \u00f7 2)
\n(16 – 2) \u00d7 2
\n14 \u00d7 2
\n28<\/p>\nEureka Math Grade 6 Module 4 Lesson 6 Exit Ticket Answer Key<\/h3>\n
\nEvaluate this expression: 39 \u00f7 (2 + 1) – 2 \u00d7 (4 + 1).
\nAnswer:
\n39 \u00f7 3 \u2212 2 \u00d7 5
\n13 \u2212 10
\n3<\/p>\n
\nEvaluate this expression: 12 \u00d7 (3 + 22<\/sup> \u00f7 2 \u2212 10
\nAnswer:
\n12 \u00d7 (3 + 4) \u00f72 \u2212 10
\n12 \u00d7 7 \u00f7 2 \u2212 10
\n84 \u00f7 2 \u2212 10
\n42 \u2212 10
\n32<\/p>\n
\nEvaluate this expression: 12 \u00d7 (3 + 2)2<\/sup> \u00f7 2 – 10.
\nAnswer:
\n12 \u00d7 52<\/sup> \u00f7 2 – 10
\n12 \u00d7 25 \u00f7 2 \u2212 10
\n300 \u00f7 2 \u2212 10
\n150 \u2212 10
\n140<\/p>\n","protected":false},"excerpt":{"rendered":"