{"id":149802,"date":"2022-12-08T23:29:57","date_gmt":"2022-12-08T17:59:57","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=149802"},"modified":"2022-12-08T23:29:57","modified_gmt":"2022-12-08T17:59:57","slug":"spectrum-math-grade-5-chapter-2-posttest-answer-key","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/spectrum-math-grade-5-chapter-2-posttest-answer-key\/","title":{"rendered":"Spectrum Math Grade 5 Chapter 2 Posttest Answer Key"},"content":{"rendered":"

Practice with the help of Spectrum Math Grade 5 Answer Key<\/a> Chapter 2 Posttest<\/b>\u00a0regularly and improve your accuracy in solving questions.<\/p>\n

Spectrum Math Grade 5 Chapter 2 Posttest Answers Key<\/h2>\n

Check What You Learned<\/strong><\/p>\n

Understanding Place Value<\/strong><\/p>\n

What is the value of the underlined digit?<\/strong><\/p>\n

Question 1.
\na. 83,76<\/u>4 _______
\nAnswer:
\n60<\/p>\n

Explanation:
\nWe know that,
\nThe place value is the value of a digit according to its position in the number such as,
\nones, tens, hundreds, thousands, and so on.
\nSo, the place value of 6 in 83,76<\/u>4 is 6 tens or 60.<\/p>\n

b. 328.367<\/u> _______
\nAnswer:
\n0.007 or 7 thousandth.<\/p>\n

Explanation:
\nWe know that,
\nThe place value is the value of a digit according to its position in the number such as,
\nones, tens, hundreds, thousands, and so on.
\nBut in decimal numbers,
\nthe first digit after the decimal represents the tenths place, next digit represents the hundredths place and so on to fill in the place values until there are no digits left.
\nSo, in the given number 7 in 328.367<\/u>\u00a0 is in thousandth place.<\/p>\n

Write the digit that is in the given place value.<\/strong><\/p>\n

Question 2.
\na. 32.376 – thousandths ____
\nAnswer:
\n6 thousandths.<\/p>\n

Explanation:
\nWe know that the place value is the value of a digit,
\nFace value is the actual value of the digit,
\nwhereas place value is the position of a digit in a number.
\nFrom the given number 32.376, 6 is in the thousands place.
\nSo, based on the above given chart,
\nthe place value of 6 in 32.376 is written as 6 thousandths or 0.006.<\/p>\n

b. 3,693.34 – hundreds ______
\nAnswer:
\n6 hundreds.<\/p>\n

Explanation:
\nWe know that the place value is the value of a digit,
\nFace value is the actual value of the digit,
\nwhereas place value is the position of a digit in a number.
\nFrom the given number 3,693.34, 6 is in the hundreds place.
\nSo, based on the above given chart,
\nthe place value of 6 in 3,693.34 is written as 6 hundreds or 600.<\/p>\n

Question 3.
\na. 4.398 – hundredths _________
\nAnswer:
\n9 hundredths.<\/p>\n

Explanation:
\nWe know that, every digit in a number has a place value on the basis of its position in the number.
\nBut in decimal numbers, the first digit after the decimal represents the tenths place, next digit represents the hundredths place and so on.
\nSo, 9 is in the hundredths place of the given number 4.398.<\/p>\n

b. 3,982.597 \u2014 tens _______
\nAnswer:
\n8 or 8 tens.<\/p>\n

Explanation:
\nWe know that the place value is the value of a digit,
\nFace value is the actual value of the digit,
\nwhereas place value is the position of a digit in a number.
\nFrom the given number 3,982.597, 8 is in tens place.
\nSo, based on the above given chart,
\nthe place value of 8 in 3,982.597 is written as 8 tens or 80.<\/p>\n

Convert these powers of ten to standard numbers.<\/strong><\/p>\n

Question 4.
\na. 109<\/sup> ____________
\nAnswer:
\n1,000,000,000<\/p>\n

Explanation:
\nAn exponent is a number that shows how many times a base number is to be used in multiplication.
\nA power of ten is an exponent where the base number is always 10.
\n109<\/sup> = 10 \u00d7 10 \u00d7 10 \u00d7 10 x 10 x 10 x 10 x 10 x 10 = 1000,000,000
\nSo, 109<\/sup> is written as 1000,000,000.<\/p>\n

b. 105<\/sup> ____________
\nAnswer:
\n100,000<\/p>\n

Explanation:
\nAn exponent is a number that shows how many times a base number is to be used in multiplication.
\nA power of ten is an exponent where the base number is always 10.
\n105<\/sup> = 10 \u00d7 10 \u00d7 10 \u00d7 10 x 10 = 100,000
\nSo, 105<\/sup> is written as 100,000.<\/p>\n

Multiply or divide by the given power of ten.<\/strong><\/p>\n

Question 5.
\na. 532.4 \u00d7 100 _____________
\nAnswer:
\n53,240<\/p>\n

Explanation:
\nWe know that,
\nwhen a number is multiplied by a multiple of 10,
\nthe number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
\nSo, 532.4 \u00d7 100 = 53,240<\/p>\n

b. 12.22 \u00f7 10 _______
\nAnswer:
\n1.222<\/p>\n

Explanation:
\nWe know that,
\nWhen a number is divided by a multiple of 10,
\nthe number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
\nSo, 12.22 \u00f7 10 = 1.222<\/p>\n

Question 6.
\na. 4.412 \u00d7 1,000 ________________
\nAnswer:
\n4,412<\/p>\n

Explanation:
\nWe know that,
\nwhen a number is multiplied by a multiple of 10,
\nthe number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
\nSo, 4.412 \u00d7 1,000 = 4,412<\/p>\n

b. 2,934.18 \u00f7 100 _________
\nAnswer:
\n29.3418<\/p>\n

Explanation:
\nWe know that,
\nWhen a number is divided by a multiple of 10,
\nthe number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
\nSo, 2,934.18 \u00f7 100 = 29.3418<\/p>\n

Write the numbers below in expanded form.<\/strong><\/p>\n

Question 7.
\na. 43.436 ________________
\nAnswer:
\n40 + 3 + 0.4 + 0.03 + 0.006<\/p>\n

Explanation:
\nTo write a decimal numbers in expanded form,
\nwe need to break down each digit according to its place value.
\nFirst start with the whole numbers by identifying the place values of numbers as ones, tens, hundreds, thousands, and so on.
\nThen, move on to the decimal part as tenths, hundredths, and thousandths places.
\nSo, 43.436 = 40 + 3 + 0.4 + 0.03 + 0.006<\/p>\n

b. 3,682.3 _______
\nAnswer:
\n3,000 + 600 + 80 + 2 + 0.3<\/p>\n

Explanation:
\nTo write a decimal numbers in expanded form,
\nwe need to break down each digit according to its place value.
\nFirst start with the whole numbers by identifying the place values of numbers as ones, tens, hundreds, thousands, and so on.
\nThen, move on to the decimal part as tenths, hundredths, and thousandths places.
\nSo, 3,682.3 = 3,000 + 600 + 80 + 2 + 0.3<\/p>\n

Compare each pair of decimals using <, >, or =.<\/strong><\/p>\n

Question 8.
\na. 5.113 ____ 5.112
\nAnswer:
\n5.113 > 5.112<\/p>\n

Explanation:
\nCompare the whole number part first.
\nIf the numbers are same, then go to the next number after the decimal.
\nThe number in tenths and hundredth place are same.
\nSo, move to the thousandths place, the numbers are different.
\nHence, 5.113 > 5.112 or 5.113 is greater than 5.112.<\/p>\n

b. 42.882 ___ 43.88
\nAnswer:
\n42.882 < 43.88<\/p>\n

Explanation:
\nCompare the whole number part first.
\nIf the numbers are same, then go to the next number after the decimal.
\nThe number in tenths and hundredth place are same.
\nSo, move to the thousandths place, the numbers are different.
\nHence, 42.882 < 43.88 or 42.882 is less than 43.88.<\/p>\n

c. 4.6 ___ 4.600
\nAnswer:
\n4.6 = 4.600<\/p>\n

Explanation:
\nCompare the whole number part first.
\nIf the numbers are same, then go to the next number after the decimal.
\nThe number in tenths are same.
\nIn decimals if zeros are at the last, then there is no value.
\nSo, 4.6 = 4.600<\/p>\n

Question 9.
\na. 7.295 ____ 72.95
\nAnswer:
\n7.295 < 72.95<\/p>\n

Explanation:
\nCompare the whole number part first.
\nThe numbers in tens place\u00a0are different.
\nSo, 7.295 < 72.95 or 7.295 is less than 72.95.<\/p>\n

b. 23.54 ____ 23.45
\nAnswer:
\n23.54\u00a0 > 23.45<\/p>\n

Explanation:
\nCompare the whole number part first.
\nIf the numbers are same, then go to the next number after the decimal.
\nThe number in tenths are different.
\nSo, 23.54\u00a0 > 23.45 or 23.54\u00a0 is greater than 23.45.<\/p>\n

c. 9.563 ____ 9.653
\nAnswer:
\n9.563 < 9.653<\/p>\n

Explanation:
\nCompare the whole number part first.
\nIf the numbers are same, then go to the next number after the decimal.
\nThe number in tenths are different.
\nSo, 9.563 < 9.653 or 9.563 is less than 9.653.<\/p>\n

Order the numbers from least to greatest.<\/strong><\/p>\n

Question 10.
\n5.6, 6.13, 5, 6.723
\n_____________
\nAnswer:
\n5, 5.6, 6.13, 6.723<\/p>\n

Explanation:
\nGiven,
\n5.6, 6.13, 5, 6.723
\nTo order a group of decimals, line up the decimal points.
\n5.6,
\n6.13,
\n5,
\n6.723
\nAll the ones are the same in 6.723 and 6.13 and have different tenths digit.
\nSo, 6.723 is greater than 6.13
\nIn the other two numbers when we compare the tenth place 5.6 is greater than 5.
\nKnow list from least to greatest:
\n5, 5.6, 6.13, 6.723<\/p>\n

Question 11.
\n75.931, 75, 74.2, 74.61
\n_____________
\nAnswer:
\n74.2, 74.61, 75, 75.931<\/p>\n

Explanation:
\nGiven,
\n75.931, 75, 74.2, 74.61
\nTo order a group of decimals, line up the decimal points.
\n75.931,
\n75,
\n74.2,
\n74.61
\nAll the ones and tens are same in 75.931 and 75 but have different tenths digit.
\nSo, 75.931 is greater than 75.
\nIn the other two numbers when we compare the tenth place 74.61 is greater than 74.2.
\nKnow list from least to greatest:
\n74.2, 74.61, 75, 75.931<\/p>\n

Question 12.
\n21.1, 20.5, 21.967, 20.35
\n_____________
\nAnswer:
\n20.35, 20.5, 21.1, 21.967<\/p>\n

Explanation:
\nGiven,
\n21.1, 20.5, 21.967, 20.35
\nTo order a group of decimals, line up the decimal points.
\n21.1,
\n20.5,
\n21.967,
\n20.35
\nAll the ones and tens are same in 21.967 and 21.1 but have different tenths digit.
\nSo, 21.967 is greater than 21.1.
\nIn the other two numbers when we compare the tenth place 20.5 is greater than 20.35.
\nKnow list from least to greatest:
\n20.35, 20.5, 21.1, 21.967<\/p>\n

Question 13.
\n47.85, 46.793, 47.7, 47.5
\n_____________
\nAnswer:
\n46.793, 47.5, 47.7, 47.85<\/p>\n

Explanation:
\nGiven,
\n47.85, 46.793, 47.7, 47.5
\nTo order a group of decimals, line up the decimal points.
\n47.85,
\n46.793,
\n47.7,
\n47.5
\nAll the ones and tens are same in 47.85 and 47.7 but have different tenths digit.
\nSo, 47.85 is greater than 47.7.
\nIn the other two numbers when we compare the ones place 47.5 is greater than 46.793.
\nKnow list from least to greatest:
\n46.793, 47.5, 47.7, 47.85<\/p>\n

Round each number to the indicated place.<\/strong><\/p>\n

Question 14.
\na. 7.559 – ones
\n_____________
\nAnswer:
\n8<\/p>\n

Explanation:
\nRound 7.559 to the nearest ones
\nLook at the tenths digit.
\n5 is greater than or equal to 5, so round 7 to 8 in the ones place.
\nTherefore, 7.559 is rounded to 8.<\/p>\n

b. 2.165 – tenths
\n_____________
\nAnswer:
\n2.2<\/p>\n

Explanation:
\nRound 2.165 to the nearest tenth.
\nLook at the hundredths digit.
\n6 is greater than 5, so round the number 1 to 2 in the tenths place.
\nTherefore, 2.165 is rounded to the nearest tenth as 2.2<\/p>\n

c. 5.471 – hundredths
\n_____________
\nAnswer:
\n5.47<\/p>\n

Explanation:
\nRound 5.471 to the nearest hundredth.
\nLook at the thousandths digit.
\n1 is less than 5, so 7 in the hundredth place remains same.
\nTherefore, 5.471 is rounded to the nearest hundredth as 5.47.<\/p>\n

Question 15.
\na. 3.337 – hundredths
\n_____________
\nAnswer:
\n3.34<\/p>\n

Explanation:
\nRound 3.337 to the nearest hundredth.
\nLook at the thousandths digit.
\n7 is greater than 5, so round 3 to 4 in the hundredth place.
\nTherefore, 3.337 is rounded to the nearest hundredth as 3.34<\/p>\n

b. 66.34 \u2014 ones
\n_____________
\nAnswer:
\n66<\/p>\n

Explanation:
\nRound 66.34 to the nearest ones
\nLook at the tenths digit.
\n4 is less than 5, so 6 in the ones place remains same.
\nTherefore, 66.34 is rounded to 66.<\/p>\n

c. 9.245 \u2014 tenths
\n_____________
\nAnswer:
\n9.2<\/p>\n

Explanation:
\nRound 9.245 to the nearest tenth.
\nLook at the hundredths digit.
\n4 is less than 5, so the number in the tenths place remains same.
\nTherefore, 9.245 is rounded to the nearest tenth as 9.2<\/p>\n","protected":false},"excerpt":{"rendered":"

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 2 Posttest\u00a0regularly and improve your accuracy in solving questions. Spectrum Math Grade 5 Chapter 2 Posttest Answers Key Check What You Learned Understanding Place Value What is the value of the underlined digit? Question 1. a. 83,764 _______ Answer: 60 Explanation: We know … Read more<\/a><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[641],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/149802"}],"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\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=149802"}],"version-history":[{"count":7,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/149802\/revisions"}],"predecessor-version":[{"id":166220,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/149802\/revisions\/166220"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=149802"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=149802"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=149802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}