\nCircle each expression that is not equivalent to the expression in bold.
\na. 16 \u00d7 29
\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Problem-Set-Answer-Key-1.png\")
<\/p>\nQuestion 1.
\nCircle each expression that is not equivalent to the expression in bold.
\na. 16 \u00d7 29
\n<\/p>\n
Answer:
\n16 x 29 = 464.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n29 sixteens = 29 x 16.
\n16 x (30 – 1).
\n16 x 29.
\n(15 – 1) x 29.
\n(10 x 29) – (6 x 29)
\n290 – 174.
\n26.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-1.png\")
<\/p>\n
b. 38 \u00d7 45
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Problem-Set-Answer-Key-2.png\")
<\/p>\n
Answer:
\n38 x 45 = 1710.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n(38 + 40) x ( 38 + 45) = 78 x 83 = 6474.
\n(38 x 40 ) + ( 38 x 5) = 1520 + 190 = 1710.
\n45 x (40 + 2) = 45 x 42 = 1890.
\n45 thirty-eights = 45 x 38 = 1710.
\n![\"\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-2.png\")
<\/p>\n
c. 74 \u00d7 59
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Problem-Set-Answer-Key-3.png\")
<\/p>\n
Answer:
\n74 x 59 = 4366.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n74 x (50 + 9) = 74 x 59 = 4366.
\n74 x (60-1) = 74 x 59 = 4366.
\n(74 x 5) + (74 x 9) = 370 + 666 = 1036.
\n59 seventy-fours = 59 x 74 = 4366.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-3-1.png\")
<\/p>\n
Question 2.
\nSolve using mental math. Draw a tape diagram and fill in the blanks to show your thinking. The first one is partially done for you.
\na. 19 \u00d7 25 = __nineteen________ twenty-fives
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Problem-Set-Answer-Key-4.png\")
\nThink: 20 twenty-fives \u2013 1 twenty-five.
\n= ( ____20______ \u00d7 25) \u2013 ( ____1______ \u00d7 25)
\n= ____500______ \u2013 ____25______
\n= ___475_______<\/p>\n
Answer:
\n19 x 25 = 475.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n20 twenty-fives – 1 twenty-five.
\n20 x 25 – 1 x 25.
\n500 – 25.
\n475<\/p>\n
b. 24 \u00d7 11 = _____eleven_____ twenty-fours<\/p>\n
Think: ___10__ twenty fours + __1___ twenty four
\n= ( ____10______ \u00d7 24) + ( ____1______ \u00d7 24)
\n= _____240_____ + _____24_____
\n= __264________<\/p>\n
Answer:
\n10 x 24 = 264.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n10 twenty-fours + 1 twenty-four.
\n10 x 24 + 1 x 24.
\n240 + 24.
\n264.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-4.png\")
<\/p>\n
c. 79 \u00d7 14 = _____79_____ fourteens<\/p>\n
Think: _____78_____ fourteens \u2013 1 fourteen
\n= (_____78_____ \u00d7 14) \u2013 (_____1_____ \u00d7 14)
\n= ____1092______ \u2013 ___14_______
\n= ____1078______<\/p>\n
Answer:
\n79 x 14 = 79 fourteens.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n78 fourteens – 1 fourteen.
\n78 x 14 – 1 x 14.
\n1092 – 14.
\n1078.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-5.png\")
<\/p>\n
d. 21 \u00d7 75 = ______21____ seventy-fives<\/p>\n
Think: ___20__ seventy-fives + __1___ seventy-five
\n= (____20______ \u00d7 75) + (_____1_____ \u00d7 75)
\n= ___1500_______ + ____75______
\n= ___1625_______<\/p>\n
Answer:
\n21 x 75 = 1625.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n20 seventy-fives + 1 seventy-five.
\n20 x 75 + 1 x 75.
\n1500 + 25.
\n1625.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-6.png\")
<\/p>\n
Question 3.
\nDefine the unit in word form and complete the sequence of problems as was done in the lesson.
\na. 19 \u00d7 15 = 19 ___15_______<\/p>\n
Think: 20 _______15______ \u2013 1 ____15_________
\n= (20 \u00d7 _____15_____) \u2013 (1 \u00d7 __15________)
\n= ___300_______ \u2013 _____15_____
\n= _____285_____<\/p>\n
Answer:
\n19 x 15 = 285.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n20 fifteens – 1 fifteen.
\n20 x 15 – 1 x 15.
\n500 – 15.
\n285.<\/p>\n
b. 14 \u00d7 15 = 14 ____15______<\/p>\n
Think: 10 _____5_______ + 4 ______10_____
\n= (10 \u00d7 ____5______) + (4 \u00d7 ____10______)
\n= _____50_____ + ____40______
\n= ___90_______<\/p>\n
Answer:
\n14 x 15 = 210.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n10 5 + 4 10.
\n50 + 40.
\n90<\/p>\n
c. 25 \u00d7 12 = 12 _____25_____<\/p>\n
Think: 10 ____15______ + 2 __25_______
\n= (10 \u00d7 ___25_______) + (2 \u00d7 _____25_____)
\n= ____250______ + _____50_____
\n= ____300______<\/p>\n
Answer:
\n25 x 12 = 300.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n10 fifteens + 2 twenty-five.
\n10 x 15 + 2 x 25.
\n250 + 50.
\n300.<\/p>\n
d. 18 \u00d7 17 = 18 ___17_______<\/p>\n
Think: 20 ____17______ \u2013 2 ____17______
\n= (20 \u00d7 _____17_____) \u2013 (2 \u00d7 ___17_______)
\n= ______340____ \u2013 ____34______
\n= ____306______<\/p>\n
Answer:
\n18 x 17 = 306.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n20 seventeen – 2 seventeen.
\n20 x 17 – 2 x 17.
\n340 – 34.
\n306.<\/p>\n
Question 4.
\nHow can 14 \u00d7 50 help you find 14 \u00d7 49?<\/p>\n
Answer:
\n14 x 50 = 14 x (50 – 1).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n14 fifty – 14 fourty nine.
\n14 x 50 – 14 x 49.
\n700 – 686.
\n14<\/p>\n
Question 5.
\nSolve mentally.
\na. 101 \u00d7 15 = __1515________<\/p>\n
Answer:
\n101 x 15 = 1515.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n101 x 15
\n1515.<\/p>\n
b. 18 \u00d7 99 = ____1782______<\/p>\n
Answer:
\n18 x 99 = 1782.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n18 x 99
\n1782.<\/p>\n
Question 6.
\nSaleem says 45 \u00d7 32 is the same as (45 \u00d7 3) + (45 \u00d7 2). Explain Saleem\u2019s error using words, numbers, and\/or pictures.<\/p>\n
Answer:
\n45 x 32 = 1440\u00a0 and (45 x 3) + (45 x 2) = 135 + 90 = 225..<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n45 x 32
\n1440.<\/p>\n
Question 7.
\nJuan delivers 174 newspapers every day. Edward delivers 126 more newspapers each day than Juan.
\na. Write an expression to show how many newspapers Edward will deliver in 29 days.<\/p>\n
Answer:
\nThe newspapers Edward will deliver in 29 days =<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nJuan delivers 174 newspapers every day.
\nEdward delivers 126 more newspapers each day than Juan.
\n174 + 126 = 300.
\nEdward will deliver in 29 days = 300 x 29.
\n300 x 29 = 8700.<\/p>\n
b. Use mental math to solve. Show your thinking.<\/p>\n
Solve using mental math. Draw a tape diagram and fill in the blanks to show your thinking.<\/p>\n
a. 49 \u00d7 11 = ____49______ elevens<\/p>\n
Think: 50 elevens \u2013 1 eleven<\/p>\n
= (___50_______ \u00d7 11) \u2013 (_____1_____ \u00d7 11)
\n= ____550______ \u2013 _____11_____
\n= _____539_____<\/p>\n
Answer:
\n49 x 11 = 539.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n50 x 11 – 1 x 11.
\n550 – 11.
\n539.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-7.png\")
<\/p>\n
b. 25 \u00d7 13 = ____13______ twenty-fives<\/p>\n
Think: __10___ twenty-fives + __3___ twenty-fives
\n= (____10______ \u00d7 25) + (____3______ \u00d7 25)
\n= ____250______ + ____75______
\n= _____325_____<\/p>\n
Answer:
\n25 x 13 = 325.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n10 x 25 + 3 x 25.
\n250 + 75
\n325.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-8.png\")
<\/p>\n
Question 1.
\nCircle each expression that is not equivalent to the expression in bold.
\na. 37 \u00d7 19
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-5th-Grade-Module-2-Lesson-4-Homework-Answer-Key-20.png\")
<\/p>\n
Answer:
\n37 x 19 = 703.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n37 nineteens = 37 x 19 = 703.
\n(30 x 19) – (7 x 29) = 570 – 203 = 367.
\n37 x (20 – 1) = 37 x 19 = 703.
\n(40 – 2) x 19 = 38 x 19 = 722.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-9.png\")
<\/p>\n
b. 26 \u00d7 35
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-5th-Grade-Module-2-Lesson-4-Homework-Answer-Key-11.png\")
<\/p>\n
Answer:
\n26 x 35 = 910<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n35 x 26 = 910
\n(26 + 30) x (26 + 5) = 56 x 31 = 1736.
\n(26 x 30) + (26 x 5) = 780 + 130 = 910.
\n35 x (20 + 60) = 35 x 80 = 2800
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-10.png\")
<\/p>\n
c. 34 \u00d7 89
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-5th-Grade-Module-2-Lesson-4-Homework-Answer-Key-12.png\")
<\/p>\n
Answer:
\n34 x 89 = 3026<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n34 x (89) = 3026.
\n(34 x 8) + (34 x 9) = 272 + 306 = 578.
\n34 x 89 = 3026.
\n89 thirty-fours = 89 x 34 = 3026.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-11.png\")
<\/p>\n
Question 2.
\nSolve using mental math. Draw a tape diagram and fill in the blanks to show your thinking. The first one is partially done for you.
\na. 19 \u00d7 50 = _____19_____ fifties
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-5th-Grade-Module-2-Lesson-4-Homework-Answer-Key-21.png\")
\nThink: 20 fifties \u2013 1 fifty
\n= ( _____20_____ \u00d7 50) \u2013 ( ____1______ \u00d7 50)
\n= _____1000_____ \u2013 ____50______
\n= ____950______<\/p>\n
Answer:
\n19 x 50 = 950.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n19 x 50
\n20 x 50 – 1 x 50.
\n1000 – 50.
\n950.<\/p>\n
b. 11 \u00d7 26 = ____11______ twenty-sixes<\/p>\n
Think: __10___ twenty-sixes + __1___ twenty-six
\n= ( _____10_____ \u00d7 26) + ( ___1_______ \u00d7 26)
\n= _____260_____ + _____26_____
\n= _____234_____<\/p>\n
Answer:
\n11 x 26 = 234.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n11 x 26
\n10 x 26 + 1 x 26.
\n260 + 26.
\n234.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-12.png\")
<\/p>\n
c. 49 \u00d7 12 = ______49____ twelves<\/p>\n
Think: ___50__ twelves \u2013 1 twelve
\n= ( ____50______ \u00d7 12) \u2013 ( ____1______ \u00d7 12)
\n= ____600______ \u2013 _____12_____
\n= ____588______<\/p>\n
Answer:
\n49 x 12 = 588.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n49 x 12
\n50 x 12 – 1 x 12.
\n600 – 12.
\n588.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-13.png\")
<\/p>\n
d. 12 \u00d7 25 = ______12____ twenty-fives<\/p>\n
Think: ___10__ twenty-fives + __2___ twenty-fives
\n= ( ____10______ \u00d7 25) + ( ____2______ \u00d7 25)
\n= _____250_____ + ____50______
\n= ____300______<\/p>\n
Answer:
\n12 x 25 = 300.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n12 x 25
\n10 x 25 + 2 x 25.
\n250 – 50.
\n300.
\n![\"Eureka-Math-Grade-5-Module-2-Lesson-4-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-5-Module-2-Lesson-4-Answer-Key-14.png\")
<\/p>\n
Question 3.
\nDefine the unit in word form and complete the sequence of problems as was done in the lesson.
\na. 29 \u00d7 12 = 29 ____12______<\/p>\n
Think: 30 _____12_____ \u2013 1 ____12______
\n= (30 \u00d7 ______12____ ) \u2013 (1 \u00d7 _____12_____ )
\n= ____360______ \u2013 ___12_______
\n= ____348______<\/p>\n
Answer:
\n29 x 12 = 348.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n29 x 12
\n30 x 12 – 1 x 12.
\n360 – 12.
\n348.<\/p>\n
b. 11 \u00d7 31 = 31 __11________<\/p>\n
Think: 30 _____11_____ + 1 _____11_____
\n= (30 \u00d7 ___11_______ ) + (1 \u00d7 ___11_______ )
\n= _______330___ + ____11______
\n= _____341_____<\/p>\n
Answer:<\/p>\n
11 x 31 = 341.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n11 x 31
\n30 x 11 + 1 x 11.
\n330 + 11.
\n341.<\/p>\n
c. 19 \u00d7 11 = 19 _____11_____<\/p>\n
Think: 20 ____11______ \u2013 1 ______11____
\n= (20 \u00d7 ___11_______ ) \u2013 (1 \u00d7 ____11______ )
\n= ____220______ \u2013 ___11_______
\n= ____209______<\/p>\n
Answer:
\n19 x 50 = 950.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n19 x 50
\n20 x 50 – 1 x 50.
\n1000 – 50.
\n950.<\/p>\n
d. 50 \u00d7 13 = 13 ____50______<\/p>\n
Think: 10 _____50_____ + 3 _____50_____
\n= (10 \u00d7 ____50______ ) + (3 \u00d7 ____50______ )
\n= ___500_______ + ____150______
\n= ____650______<\/p>\n
Answer:
\n13 x 50 = 650.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n13 x 50
\n10 x 50 + 3 x 50.
\n500\u00a0 + 150.
\n650.<\/p>\n
Question 4.
\nHow can 12 \u00d7 50 help you find 12 \u00d7 49?<\/p>\n
Answer:
\n12 x 50 = 600.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n12 x 49 = 12 x (50 – 1).
\n12 x 49\u00a0 = 588.
\n12 x 50 = 600.<\/p>\n
Question 5.
\nSolve mentally.
\na. 16 \u00d7 99 = ___1584_______<\/p>\n
Answer:
\n16 x 99 = 1584.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n16 x 99.
\n1584.<\/p>\n
b. 20 \u00d7 101 = ___2020_______<\/p>\n
Answer:
\n20 x 101 = 2020.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n20 x 101
\n20 x 102 – 1.
\n20 x 101.
\n2020.<\/p>\n
Question 6.
\nJoy is helping her father to build a rectangular deck that measures 14 ft by 19 ft. Find the area of the deck using a mental strategy. Explain your thinking.<\/p>\n
Answer:
\nThe area of the deck = 266 sq ft.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nJoy is helping her father to build a rectangular deck that measures 14 ft by 19 ft.
\narea = l x b.
\narea = 14 x 19.
\narea = 266 sq ft.<\/p>\n
Question 7.
\nThe Lason School turns 101 years old in June. In order to celebrate, they ask each of the 23 classes to collect 101 items and make a collage. How many total items will be in the collage? Use mental math to solve. Explain your thinking.<\/p>\n
Answer:
\nThe total items will be in the college = 2323.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nThe Lason School turns 101 years old in june.
\nIn order to celebrate, they ask each of the 23 classes to collect 101 items and make a collage.
\n23 x 101 = 2323.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 5th Grade Module 2 Lesson 4 Answer Key Eureka Math Grade 5 Module 2 Lesson 4 Problem Set Answer Key Question 1. Circle each expression that is not equivalent to the expression in bold. a. 16 \u00d7 29 Answer: 16 x 29 = 464. Explanation: In the above-given question, given that, … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","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\/62758"}],"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=62758"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/62758\/revisions"}],"predecessor-version":[{"id":137458,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/62758\/revisions\/137458"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=62758"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=62758"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=62758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}