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1.34 Om getalle te herken, te klassifiseer en voor te stel om hulle

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Wiskunde

Graad 5

Gewone breuke en desimale breuke

Module 37

Om getalle te herken, te klassifiseer en voor te stel om hulle te beskryf en te vergelyk

Desimale Breuke

Aktiwiteit 1:

Om getalle te herken, te klassifiseer en voor te stel om hulle te beskryf en te vergelyk [lu 1.3.3]

Om ekwivalente vorms van getalle te herken en te gebruik [lu 1.5.2]

1. Jy het so pas ‘n leereenheid oor gewone breuke voltooi. Kom ons hersien.

Watter breukdeel van die volgende figure is ingekleur?

1.1

1.2

1.3

2. Kan jy jou antwoorde hierbo as desimale breuke skryf?

2.1

2.2

TIENDES

Verfris jou geheue!

Ons lees 0,3 as nul komma drie en ons noem dit ’n desimale breuk.

Die komma word die desimale teken genoem, en dit skei die heelgetalle van die breuke.

Onthou jy nog??

1 10 size 12{ { {1} over {"10"} } } {}

3. Kyk na die getallelyn en vul die ontbrekende getalle in.

4. Werk saam met ’n maat. Tel hardop en voltooi die volgende:

4.1 0,2 ; 0,4 ; 0,6 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.2 4,7 ; 4,5 ; 4,3 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.3 0,5 ; 1,5 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.4 3,6 ; 3,2 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.5 9,2 ; 9,1 ; .............. ; .............. ; .............. ; .............. ; .............. ;

Onthou jy nog?

As ek elke keer 0,3 by ’n vorige antwoord wil tel, kan ek my sakrekenaar so programmeer: Getal + 0,3 + = = =

Aktiwiteit 2:

Om ‘n reeks tegnieke te gebruik om hoofreken te doen [lu 1.10.5]

Jy weet nou al dat ons die sakrekenaar baie handig kan gebruik om antwoorde te vind of te kontroleer. Noudat jy weer gesien het hoe om jou sakrekenaar te programmeer om by te tel, probeer om die volgende aktiwiteit foutloos te voltooi. Programmeer jou sakrekenaar en skryf die eerste 10 antwoorde neer vir die volgende:

1.1 Begin by 3,7 en tel elke keer 0,6 by:

1.2 Begin by 9,3 en trek elke keer 0,4 af:

Aktiwiteit 3:

Om getalle te herken, te klassifiseer en voor te stel om hulle te beskryf en te vergelyk [lu 1.3.3]

Om ekwivalente vorms van getalle te herken en te gebruik [lu 1.5.2]

Om ‘n reeks tegnieke te gebruik om hoofreken te doen [lu 1.10.5]

In hierdie aktiwiteit wil ons kyk of jy kan sien watter gewone breuke (gemengde getalle) pas by watter desimale breuke. Dit is belangrik dat jy moet kan insien dat bv. 0,2 kg eintlik dieselfde is as 2 10 size 12{ { {2} over {"10"} } } {} kg!

1. Pas die gewone breuke by hul desimale breuke maats. Verbind kolom A met die korrekte antwoord in kolom B.

A B
Bv. 0,2 kg 1 5 10 size 12{ { {5} over {"10"} } } {} / 1 1 2 size 12{ { {1} over {2} } } {} km
1.1 0,5 m 152 7 10 size 12{ { {7} over {"10"} } } {} km
1.2 17,6 liter 2 10 size 12{ { {2} over {"10"} } } {} kg
1.3 8,4 sekondes 8 4 10 size 12{ { {4} over {"10"} } } {} sek
1.4 152,7 km 17 6 10 size 12{ { {6} over {"10"} } } {} ℓ
1.5 1,5 km 5 10 size 12{ { {5} over {"10"} } } {} / 1 2 size 12{ { {1} over {2} } } {} m

Uitdaging!

2. Werk saam met ’n maat. Kan julle die volgende breuke as desimale breuke skryf?

2.1 4 5 size 12{ { {4} over {5} } } {}

2.2 2 20 size 12{ { {2} over {"20"} } } {}

2.3 3 5 size 12{ { {3} over {5} } } {}

2.4 7 20 size 12{ { {7} over {"20"} } } {}

2.5 18 30 size 12{ { {"18"} over {"30"} } } {}

2.6 48 60 size 12{ { {"48"} over {"60"} } } {}

3. Kan julle verduidelik wat ons moet doen om bogenoemde antwoorde te kry?

4. Hoe kan jy jul antwoorde met ’n sakrekenaar kontroleer?

5. Gebruik nou ’n sakrekenaar en kontroleer jul antwoorde by no. 2.

Aktiwiteit 4:

Om hoofreken te kan doen [lu 1.9]

1. Jy het nou die geleentheid om jou hoofrekenvaardighede op te skerp en om jou “nuwe” kennis toe te pas. Voltooi die volgende hoofrekentoets so vinnig en akkuraat moontlik:

Questions & Answers

how did you get 1640
Noor Reply
If auger is pair are the roots of equation x2+5x-3=0
Peter Reply
Wayne and Dennis like to ride the bike path from Riverside Park to the beach. Dennis’s speed is seven miles per hour faster than Wayne’s speed, so it takes Wayne 2 hours to ride to the beach while it takes Dennis 1.5 hours for the ride. Find the speed of both bikers.
MATTHEW Reply
420
Sharon
from theory: distance [miles] = speed [mph] × time [hours] info #1 speed_Dennis × 1.5 = speed_Wayne × 2 => speed_Wayne = 0.75 × speed_Dennis (i) info #2 speed_Dennis = speed_Wayne + 7 [mph] (ii) use (i) in (ii) => [...] speed_Dennis = 28 mph speed_Wayne = 21 mph
George
Let W be Wayne's speed in miles per hour and D be Dennis's speed in miles per hour. We know that W + 7 = D and W * 2 = D * 1.5. Substituting the first equation into the second: W * 2 = (W + 7) * 1.5 W * 2 = W * 1.5 + 7 * 1.5 0.5 * W = 7 * 1.5 W = 7 * 3 or 21 W is 21 D = W + 7 D = 21 + 7 D = 28
Salma
Devon is 32 32​​ years older than his son, Milan. The sum of both their ages is 54 54​. Using the variables d d​ and m m​ to represent the ages of Devon and Milan, respectively, write a system of equations to describe this situation. Enter the equations below, separated by a comma.
Aaron Reply
find product (-6m+6) ( 3m²+4m-3)
SIMRAN Reply
-42m²+60m-18
Salma
what is the solution
bill
how did you arrive at this answer?
bill
-24m+3+3mÁ^2
Susan
i really want to learn
Amira
I only got 42 the rest i don't know how to solve it. Please i need help from anyone to help me improve my solving mathematics please
Amira
Hw did u arrive to this answer.
Aphelele
hi
Bajemah
-6m(3mA²+4m-3)+6(3mA²+4m-3) =-18m²A²-24m²+18m+18mA²+24m-18 Rearrange like items -18m²A²-24m²+42m+18A²-18
Salma
complete the table of valuesfor each given equatio then graph. 1.x+2y=3
Jovelyn Reply
x=3-2y
Salma
y=x+3/2
Salma
Hi
Enock
given that (7x-5):(2+4x)=8:7find the value of x
Nandala
3x-12y=18
Kelvin
please why isn't that the 0is in ten thousand place
Grace Reply
please why is it that the 0is in the place of ten thousand
Grace
Send the example to me here and let me see
Stephen
A meditation garden is in the shape of a right triangle, with one leg 7 feet. The length of the hypotenuse is one more than the length of one of the other legs. Find the lengths of the hypotenuse and the other leg
Marry Reply
how far
Abubakar
cool u
Enock
state in which quadrant or on which axis each of the following angles given measure. in standard position would lie 89°
Abegail Reply
hello
BenJay
hi
Method
I am eliacin, I need your help in maths
Rood
how can I help
Sir
hmm can we speak here?
Amoon
however, may I ask you some questions about Algarba?
Amoon
hi
Enock
what the last part of the problem mean?
Roger
The Jones family took a 15 mile canoe ride down the Indian River in three hours. After lunch, the return trip back up the river took five hours. Find the rate, in mph, of the canoe in still water and the rate of the current.
cameron Reply
Shakir works at a computer store. His weekly pay will be either a fixed amount, $925, or $500 plus 12% of his total sales. How much should his total sales be for his variable pay option to exceed the fixed amount of $925.
mahnoor Reply
I'm guessing, but it's somewhere around $4335.00 I think
Lewis
12% of sales will need to exceed 925 - 500, or 425 to exceed fixed amount option. What amount of sales does that equal? 425 ÷ (12÷100) = 3541.67. So the answer is sales greater than 3541.67. Check: Sales = 3542 Commission 12%=425.04 Pay = 500 + 425.04 = 925.04. 925.04 > 925.00
Munster
difference between rational and irrational numbers
Arundhati Reply
When traveling to Great Britain, Bethany exchanged $602 US dollars into £515 British pounds. How many pounds did she receive for each US dollar?
Jakoiya Reply
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Solomon Reply
Jazmine trained for 3 hours on Saturday. She ran 8 miles and then biked 24 miles. Her biking speed is 4 mph faster than her running speed. What is her running speed?
Zack Reply
d=r×t the equation would be 8/r+24/r+4=3 worked out
Sheirtina
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Source:  OpenStax, Wiskunde graad 5. OpenStax CNX. Sep 07, 2009 Download for free at http://cnx.org/content/col10993/1.1
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