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Wiskunde

Desimale breuke

Opvoeders afdeling

Memorandum

20.1

a) 260

b) 2 600

c) 26,7

d) 267

e) 2 670

f) 26,79

g) 267,9

h) 2 679

20.2 x10: Elke syfer skuif 1 plek na links / komma skuif 1 plek na regs.

x100: Elke syfer skuif 2 plekke na links / komma skuif 2 plekke na regs.

x1000: Elke syfer skuif 3 plekke na links / komma skuif 3 plekke na regs.

20.4

a) 54,8 548 5480
b) 3,67 36,7 367
c) 8,9 89 890
d) 165,38 1653,8 16 538
e) 282,51 2825,1 28 251

20.5.1

a) 21,522

b) 46,215

c) 1,4

d) 4,64

e) 12 250

f) 2 370,6

  • Antwoord is kleiner.

x met getal<1

20.8

a) 0,4964

b) 1,3737

c) 0,109

d) 5,53724

e) 38,57997

f) 16,78164

23.1 size 12{ div } {} 10: Komma skuif 1 plek na links

Elke syfer skuif een plek na regs

size 12{ div } {} 100: Komma skuif 2 plekke na links

Elke syfer skuif 2 plekke na regs

size 12{ div } {} 1000: Komma skuif 3 plekke na links

Elke syfer skuif 3 plekke na regs

23.3

8,21 0,729 0,6
0,864 0,6254 0,0392 8,791 0,035 0,08
74,68

Leerders afdeling

Inhoud

Aktiwiteit: vermenigvuldiging van desimale breuke [lu 1.3.4, lu 1.7.7, lu 1.9.2, lu 1.10, lu 2.3.3]

20. VERMENIGVULDIGING VAN DESIMALE BREUKE

20.1 Kom ons hersien

Do the following with the help of your calculator:

SOM ANTWOORD
Bv. 2,6 × 10 26
a) 2,6 × 100 .........................
b) 2,6 × 1 000 .........................
c) 2,67 × 10 .........................
d) 2,67 × 100 .........................
e) 2,67 × 1 000 .........................
f) 2,679 × 10 .........................
g) 2,679 × 100 .........................
h) 2,679 × 1 000 .........................

20.2 Werk in groepe van drie. Formuleer gou reëls vir die vermenigvuldiging van desimale breuke met 10, 100 en 1 000.

20.3 Onthou jy nog?

10 x 1 = 10 = 101

10 x 10 = 100 = 102

10 x 10 x 10 = 1 000 = 103

10 x 10 x 10 x 10 = 10 000 = 104

10 x 10 x 10 x 10 x 10 = 100 000 = 105

10 x 10 x 10 x 10 x 10 x 10 = 1 000 000 = 106

20.4 Voltooi die volgende tabel:

× 10 1 10 2 10 3
e.g. 3,2 32 320 3 200
a) 5,48 ..................... ..................... .....................
b) 0,367 ..................... ..................... .....................
c) 0,89 ..................... ..................... .....................
d) 16,538 ..................... ..................... .....................
e) 28,251 ..................... ..................... .....................

20.5 Nog hersiening

20.5.1 Werk saam met ’n maat. Bereken die antwoorde sonder om ’n sakrekenaar te gebruik:

a) s = 3,587 x 6

………………………………………………

………………………………………………

………………………………………………

………………………………………………

b) f = 9,243 x 5

………………………………………………

………………………………………………

………………………………………………

………………………………………………

c) p = 0,02 x 70

………………………………………………

………………………………………………

………………………………………………

………………………………………………

d) r = 0,058 x 80

………………………………………………

………………………………………………

………………………………………………

………………………………………………

e) t = 24,5 x 500

………………………………………………

………………………………………………

………………………………………………

………………………………………………

f) h = 2,634 x 900

………………………………………………

………………………………………………

………………………………………………

………………………………………………

20.5.2 Kontroleer jul antwoorde met ’n sakrekenaar.

20.6 VERMENIGVULDIGING VAN DESIMALE BREUKE MET DESIMALE BREUKE

20.6.1 Lees die volgende probleem en werk dan weer saam met ’n maat deur die verskillende oplossings:

’n Skilpad stap 0,8 km in een uur. Hoe ver sal hy in 0,6 uur stap?

Questions & Answers

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Source:  OpenStax, Wiskunde graad 7. OpenStax CNX. Oct 21, 2009 Download for free at http://cnx.org/content/col11076/1.2
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