OpenStax-CNX module: m31262 1 Adding and subtracting of decimal fractions ∗ Siyavula Uploaders This work is produced by OpenStax-CNX and licensed under the † Creative Commons Attribution License 3.0 1 MATHEMATICS 2 Decimal Fractions 3 EDUCATOR SECTION 4 Memorandum 17.2 a) 999,955 a) 802,383 b) 115,749 c) 420,799 18. 0,1818181 0,8181818 0,9999999 Above-mentioned are repetitive fractions Rounded o, the answer is 1. 19. a) 1 b) 3,3 c) 0,67 d) 4,3 e) 6,4 f) 2,7 g) 3,4 h) 1,25 i) 1,05 j) 6,7 k) 2,98 l) 1,12 m) 5 ∗ Version 1.1: Aug 12, 2009 7:18 am -0500 † http://creativecommons.org/licenses/by/3.0/ http://cnx.org/content/m31262/1.1/ OpenStax-CNX module: m31262 2 n) 8,6 o) 8,2 Leaner Section 5 Content 5.1 ACTIVITY: Adding and subtracting of decimal fractions [LO 1.7.4] 17. ADDING AND SUBTRACTING OF DECIMAL FRACTIONS: 17.1 Do you still remember? It is very easy to add and subtract decimal fractions. We do it in exactly the same way that we would add and subtract whole numbers. Just be certain that you write: • the tenths in the tenths column. • the hundredths in the hundredths column. • the thousandths in the thousandths column. Figure 1 17.2 Calculate: a) n = 284,523 + 715,432 b) d = 476,897 + 325,486 c) k = 532,298 416,549 d) b = 785,361 364,562 18. BRAIN-TEASER! • Write two elevenths as a decimal fraction. Then write nine elevenths as a decimal fraction. Add the two answers together. . . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . ... . . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . ... • You already know that 2 elevenths plus 9 elevenths = 11 elevenths = one ! • How do you explain the above answer? . . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . ... . . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . .. . ... 19. Let us see how you do in the following mental test. a) 0,6 + 0,4 = ................. b) 2,4 + 0,9 = ................. c) 0,27 + 0,4 = ................. d) 5 0,7 = ................. e) 3,8 + 2,6 = ................. http://cnx.org/content/m31262/1.1/ OpenStax-CNX module: m31262 3 f) 3,2 0,5 = ................. g) 3,45 0,05 = ................. h) 3,45 2,2 = ................. i) 3,45 2,4 = ................. j) 2,65 + 4,05 = ................. k) 4 1,02 = ................. l) 0,39 + 0,73 = ................. m) 3,25 + 1,75 = ................. n) 4,9 + 3,7 = ................. o) 12 3,8 = ................. • Complete by ticking the applicable block: MYMARKS IMPROVED GOT THE SAME RESULT DID WORSE when I compare my results with the results of the previous mental test. Table 1 6 Assessment The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and condence in solving problems. Assessment Standard 1.7: We know this when the learner estimates and calculates by selecting and using operations appropriate to solving problems that involve: 1.7.4 addition, subtraction and multiplication of positive decimals to at least 2 decimal places. Learning Outcome 1: http://cnx.org/content/m31262/1.1/
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