{"id":10972,"date":"2023-06-07T11:01:18","date_gmt":"2023-06-07T05:31:18","guid":{"rendered":"https:\/\/apboardsolutions.in\/?p=10972"},"modified":"2023-06-08T17:19:22","modified_gmt":"2023-06-08T11:49:22","slug":"ap-board-6th-class-maths-solutions-chapter-5-ex-5-4","status":"publish","type":"post","link":"https:\/\/apboardsolutions.in\/ap-board-6th-class-maths-solutions-chapter-5-ex-5-4\/","title":{"rendered":"AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4"},"content":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions<\/a> Chapter 5 Fractions and Decimals Ex 5.4 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 6th Class Maths Solutions 5th Lesson Fractions and Decimals Ex 5.4<\/h2>\n

Question 1.
\nWhich of the following are unlike decimal fractions ?
\ni) 5.03, 6.185
\nii) 42.7, 7.42
\niii) 16.003, 5.301
\niv)15.81, 1.36
\nAnswer:
\ni) 5.03, 6.185
\n5.3 has 2 decimal places
\n6.185 has 3 decimal places
\nTheir decimal places are not equal.
\nSo, these decimal fraction are unlike decimal fractions.<\/p>\n

ii) 42.7, 7.42
\n42.7 has one decimal place
\n7.42 has two decimal places
\nTheir decimal places are not equal.
\nSo, these are unlike decimal fractions.<\/p>\n

iii) 16.003, 5.301
\n16.3 has three decimal places
\n5.301 has three decimal places
\nTheir decimal places are equal.
\nSo, these are like decimal fractions.<\/p>\n

\"AP<\/p>\n

iv) 15.81, 1.36
\n15.81 has two decimal places
\n1.36 has two decimal places
\nTheir decimal places are equal.
\nSo, these are like decimal fractions.<\/p>\n

Question 2.
\nChange the following into like decimal fractions.
\ni) 0.802, 54.32, 873.274
\nii) 4.78, 9.193, 11.3
\niii) 16.003, 16.9, 16.19
\nAnswer:
\ni) 0.802, 54.32, 873.274
\nGiven decimal fractions are 0.802, 54.32, 873.274
\nThe greatest number of decimal places is 3.
\nSo, we convert all of them to equivalent decimals with 3 decimal places by placing sufficient zeroes.
\n0.802 = 0.802
\n54.32 = 54.320
\n873.274 = 873.274
\nThus, 0.802, 54.32, 873.274 when converted to like decimals becomes 0.802, 54.320, 873.274.<\/p>\n

ii) 4.78, 9.193, 11.3
\nGiven decimal fractions are 4.78, 9.193, 11.3.
\nSo, we convert all of them to equivalent decimals with 3 decimal places.
\n4.78 = 4.780
\n9.193 = 9.193
\n11.3 = 11.300
\nThus, 4.78, 9.193, 11.3 when converted to like decimals becomes 4.780, 9.193, 11.300.<\/p>\n

iii) 16.003, 16.9, 16.19
\nGiven decimal fractions are 16.003, 16.9, 16.19
\nSo, we convert all of them to equivalent decimals with three decimal places by providing sufficient zeroes.
\n16.3 = 16.003
\n16.9 = 16.900
\n16.19 = 16.190
\nThus, 16.003, 16.9, 16.19 when converted to like decimals becomes 16.003, 16.900, 16.190.<\/p>\n

\"AP<\/p>\n

Question 3.
\nWrite the following in ascending order.
\na) 7.26, 7.62, 7.2
\nb) 0.464, 0.644, 0.446, 0.664
\nc) 30.000, 30.060, 30.30
\nAnswer:
\na) 7.26, 7.62, 7.2
\nGiven decimal fractions are 7.26, 7.62, 7.20
\nFirst compare the whole numbers.
\nHere whole numbers are equal. So, compare tenth\u2019s place digits of the decimal fractions.
\nIn 7.26 and 7.20 Tenths places are same.
\nBut 7.62 Tenth place is more than the remaining numbers.
\nSo,7.62 > 7.26 and 7.62 > 7.20
\nTo compare 7.26 and 7.20 we should compare hundredth’s places. Then 7.26 > 7.20
\n\u2234 7.62 > 7.26 > 7.20
\n(or) 7.20 < 7.26 < 7.62
\nAscending order: 7.20; 7.26; 7.62<\/p>\n

b) 0.464, 0.644, 0.446, 0.664
\nGiven decimal fractions are 0.464, 0.644, 0.446, 0.664
\nThen, compare whole numbers.
\nHere whole numbers are same. Then, compare tenth\u2019s place digits of the decimal fractions.
\n0.464, 0.446 are less than 0.644 and 0.664.
\nFirst make or check the given fraction are all like fractions or not?
\nThen, compare hundredth’s place digits
\n\u2234 0.464 > 0.446, 0.664 > 0.644
\nand 0.664 > 0.644 > 0.464 > 0.446
\n(or) 0.446 < 0.464 < 0.644 < 0.664
\nAscending order: 0.446; 0.464; 0.644; 0.664<\/p>\n

c) 30.000, 30.060, 30.30
\nGiven decimal fractions are 30.000, 30.060, 30.30
\nFirst make or check the given fractions are all like fractions or not?
\nSo, 30.000; 30.060; 30.300 are like fractions.
\nThen, compare the whole numbers. They are same. So, compare, Tenth’s places of the decimal fractions.
\n30.300 > 30.060 > 30.000
\n(or) 30.000 < 30.060 < 30.300
\nAscending order: 30.000; 30.060; 30.300<\/p>\n

\"AP<\/p>\n

Question 4.
\nArrange these numbers in descending order:
\n16.96; 16.42; 16.3; 16.03; 16.1; 16.99; 16.01
\nAnswer:
\nGiven decimal fractions are
\n16.96; 16.42; 16.3; 16.03; 16.1; 16.99; 16.01
\nFirst make or check the given fractions are all like fractions or not?
\nSo, 16.96; 16.42; 16.30; 16.03; 16.10; 16.99; 16.01 are like fractions.
\nThen, compare whole numbers. They are same.
\nSo, compare Tenth’s place digits of the decimal fractions.
\n16.96 < 16.99; 16.42 > 16.30 > 16.10 > 16.03 > 16.01
\nThen compare hundredth’s place digits.
\nSo, 16.99 > 16.96 > 16.42 > 16.30 > 16.10 > 16.03 > 16.01 (or)
\n16.01 < 16.03 < 16.10 < 16.30 < 16.42 < 16.96 < 16.99
\nDescending order: 16.99; 16.96; 16.42; 16.30; 16.10; 16.03; 16.01.<\/p>\n

Question 5.
\nFill in the blanks by using appropriate symbols >, < or =.
\ni) 0.005 …… 0.0005
\nii) 4.353 …… 4.2
\niii) 58.3 …… 58.30
\nAnswer:
\ni) 0.005 …… 0.0005
\nFirst make like decimal fractions
\n0.0050 …… 0.0005
\nBy comparing Thousandth’s place digits.
\nSo, 0.0050 > 0.0005<\/p>\n

ii) 4.353 …… 4.2
\nFirst make like decimal fractions.
\n4.353 …… 4.200
\nCompare Tenth’s place digits, if whole numbers are same.
\nSo, 4.353 > 4.200<\/p>\n

\"AP<\/p>\n

iii) 58.3 …… 58.30
\nFirst make like decimal fractions.
\n58.30 …… 58.30
\nIn these whole numbers and decimal place digits are same.
\nSo, 58.30 = 58.30<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4 Textbook Questions and Answers. AP State Syllabus 6th Class Maths Solutions 5th Lesson Fractions and Decimals Ex 5.4 Question 1. Which of the following are unlike decimal fractions ? i) 5.03, 6.185 ii) 42.7, 7.42 iii) 16.003, 5.301 iv)15.81, … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/10972"}],"collection":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/comments?post=10972"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/10972\/revisions"}],"predecessor-version":[{"id":41052,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/10972\/revisions\/41052"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/media?parent=10972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/categories?post=10972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/tags?post=10972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}