3.4 Adding and subtracting of decimal fractions

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Memorandum

17.2 a) 999,955

1. 802,383
2. 115,749
3. 420,799

18. 0,1818181

0,8181818

0,9999999

Above-mentioned are repetitive fractions

Rounded off, 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

n) 8,6

o) 8,2

Leaner Section

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.

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 = .................

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.

Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence 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.

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