Atoto
JF-Expert Member
- Jul 19, 2013
- 86,410
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Ndio ujuaji wenyewe huo.
Janga la Hisabati: Tuanzie Hapa
VMWare-Oracle
JF-Expert Member
- Dec 19, 2021
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Ni dhahiri ulikua unaikimbia...
Maze runner
Member
- Dec 7, 2021
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Kwanini tulazimishe watu kupata F? Kama mtu haelewi hisabati ndo haelewi. Ukiachana na walimu kukosekana, Tanzania Kuna janga la kulazimisha mambo yasiyo na Tija!! Kila somo Lina umuhimu wake, ila utakuta eti lazima mtu asome hisabu. Lazima masomo Saba na kuendelea. Kwanini tunalazisha vitu visivyo na maana na kutwisha watz mizigo mizito? Hisabu sio janga la taifa bali taifa halijui linataka kuachieve nini kitaaluma wala kimaendeleo. Wizara ya Elimu sijui ata inafanya nini zaidi ya kila posho na mishahara especially Yule waziri asiejua kingereza Wala public speaking. Na huo ndo ukweli!!!
Denis Alphonce
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- Aug 28, 2016
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Teknocrat
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- Oct 20, 2018
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- #25
WA-UKENYENGE
Nimefuatilia mkuu kwenye posti posti fulani za Maths na Science...Mkuu..Hebu panda lile basi la Idukilo, uje haraka kuisaidia ile shule ya middle school ya Ibadakuli... ila usisahau kupitia pale shule ya msingi ya Muhunze pia...
Tangantika
Mkuu...wewe pia ni STEM Champion, watoto wetu wamechoka mno siku hiziHamna walimu sayansi na hisabati....Tupia mwanga ukipata muda....
Maze runner
Member
- Dec 7, 2021
- 32
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Humu jf na watanzania kwa ujumla hawataki mada/topic zenye tija/maana/ umuhimu na Wala kubadili mustakbali was maisha yao. Let's mada za ngono, siasa chafu, na za kulamba nyao za viongozi! Watu wanafurika kuchangia au kuangalia. Tuna taifa la kipumbavu sana . Kwakweli mbuzi wale Mana hamna was kuwazuia
Teknocrat
JF-Expert Member
- Oct 20, 2018
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Hii mada inawahusu wanafunzi wanaopenda masomo ya Hisabati au na Sayansi pia, tusitake kujumuisha vitu pamoja au kufikia suluhisho kuwa haiwezekani kuwasaidia wanafunzi wenye kutaka kujua na kupenda kujifundisha.
Kuna shule nyingi tu hazina walimu wa Hisabati na Sayansi,
kwa nini? mimi sio wa kujibu hili ni swali....
Inawezekana kutoa msaada kwa wenye uhitaji kwa kutumia platform ya JF
billionea alpha
JF-Expert Member
- Apr 10, 2014
- 1,443
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3.25
Mtoa swali hauko makini. Ni kweli kapatia lakini je jibu kapata vipi? Kama ulikuwa hujui ni kwamba u kitype 1+6-9÷12×5 kwenye calculator hata ya kwenye simu utapata hiyo 3.25,maana yangu ni kwamba hata asiejua BODMAS (mtego wa swali) kwa kutumia calculator atapata jibu sahihi.
Joseph lebai
JF-Expert Member
- Jul 19, 2017
- 8,452
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Mambo ya quadratic equation, nitatoa msaada kidogo ila sio kiviiiile!
Sent using Jamii Forums mobile app
Sent using Jamii Forums mobile app
Mtoboa siri
JF-Expert Member
- Mar 11, 2019
- 214
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Kwenye mkutano mkuu wa kijiji mwenyekiti wa kijiji aliwasalimia wajumbe wa mkutano habari zenu wajumbe 100 mliofika hapa. Mjumbe mmoja akajibu, hatujafika mia labda waje wengine kama sisi pamoja na nusu yetu sisi na robo yetu sisi pamoja na wewe mwenyewe ndio tutafika mia moja. Je wajumbe wa mkutano walikuwa wangapi?
The last don
JF-Expert Member
- Aug 3, 2011
- 1,053
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let x be wajumbe wa mkutano,
then, 2x 1/2x +1/4x + 1=100
8x+2x+x=400 - 4
11x=396
x=36
therefore wajumbe wa mkutano walikuwa 36.
Teknocrat
JF-Expert Member
- Oct 20, 2018
- 4,967
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- #36
FORM 1 Maths
Nitaanza na Secondary Mathematics
Tutanzia mwanzo kabisa, yaani pale unapoingia form 1....."Numbers"
Mnakaribishwa kuchangia hii topic, au kuendeleza kutokea hapa..
Integers are whole numbers (both positive and negative, including zero). So they are ..., -2, -1, 0, 1, 2, .... So a negative integer is a negative whole number, such as -3, -10 or -23. Natural numbers are positive integers.
A rational number is a number which can be written as a fraction where numerator and denominator are integers (where the top and bottom of the fraction are whole numbers). For example 1/2, 4, 1.75 (=7/4).
Irrational numbers are numbers which cannot be written as fractions, such as pi and √2. In decimal form these numbers go on forever and the same pattern of digits are not repeated.
Square numbers are numbers which can be obtained by multiplying another number by itself. E.g. 36 is a square number because it is 6 x 6 .
Surds are numbers left written as √n , where n is positive but not a square number. E.g. √2 (see 'surds').
In Mathematics, surds are the values in square root that cannot be further simplified into whole numbers or integers. Surds are irrational numbers. The examples of surds are √2, √3, √5, etc., as these values cannot be further simplified.
Prime numbers are numbers above 1 which cannot be divided by anything (other than 1 and itself) to give an integer. The first 8 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19.
Real numbers are all the numbers which you will have come across (i.e. all the rational and irrational numbers). All real numbers can be written in decimal form (such as 3.165).
A factor (or divisor) of a number is a number which will divide into your number exactly. So you can divide a number by one of its factors and you won't be left with a remainder. For example, 3 is a factor of 6 because you can divide 6 by 3 and you won't be left with a remainder (you get 2).
Prime Factor Decomposition
An important fact is that any number can be written as the product (multiplication) of prime numbers in one way. For example, 20 = 5 x 2 x 2 . This is the only way of writing 20 as the product of prime numbers. Writing a number in this way is called prime factor decomposition.
Example
Find the prime factor decomposition of 36.
We look at 36 and try to find numbers which we can divide it by. We can see that it divides by 2.
36 = 18 × 2
2 is a prime number, but 18 isn't. So we need to split 18 up into prime numbers. We can also divide 18 by 2.
18 = 9 × 2
and so 36 = 18 × 2 = 9 × 2 × 2
But we haven't finished, because 9 is not a prime number. We know that 9 divides by 3.
9 = 3 x 3.
Hence 36 = 9 × 2 × 2 = 3 × 3 × 2 × 2.
This is the answer, because both 2 and 3 are prime numbers.
Example
a and b are prime numbers, ab3 = 54. Find the values of a and b.
So ab3 is the prime factor decomposition of 54.
54 = 2 × 27 = 2 × 3 × 9 = 2 × 3 × 3 × 3 = 2 × 33
So a = 2 and b = 3.
LCM and HCF
The least (or lowest) common multiple (LCM) of two or more numbers is the smallest number into which they evenly divide. For example, the LCM of 2, 3, 4, 6 and 9 is 36.
The highest common factor (HCF) of two or more numbers is the highest number which will divide into them both. Therefore the HCF of 6 and 9 is 3.
Approximations
If the side of a square field is given as 90m, correct to the nearest 10m:
The smallest value the actual length could be is 85m (since this is the lowest value which, to the nearest 10m, would be rounded up to 90m). The largest value is 95m.
Using inequalities, 85£ length <95.
Sometimes you will be asked the upper and lower bounds of the area. The area will be smallest when the side of the square is 85m. In this case, the area will be 7725m². The largest possible area is 9025m² (when the length of the sides are 95m).
BODMAS (/BIDMAS)
When simplifying an expression such as 3 + 4 × 5 - 4(3 + 2), remember to work it out in the following order: brackets, of (/indices), division, multiplication, addition, subtraction.
So do the thing in the brackets first, then any division, followed by multiplication and so on. The above is: 3 + 20 - 4 × 5 = 3 + 20 - 20 = 3
Source:Revision Maths - Maths GCSE and A-Level Revision
Nitaanza na Secondary Mathematics
Tutanzia mwanzo kabisa, yaani pale unapoingia form 1....."Numbers"
Mnakaribishwa kuchangia hii topic, au kuendeleza kutokea hapa..
Numbers
Types of NumbersIntegers are whole numbers (both positive and negative, including zero). So they are ..., -2, -1, 0, 1, 2, .... So a negative integer is a negative whole number, such as -3, -10 or -23. Natural numbers are positive integers.
A rational number is a number which can be written as a fraction where numerator and denominator are integers (where the top and bottom of the fraction are whole numbers). For example 1/2, 4, 1.75 (=7/4).
Irrational numbers are numbers which cannot be written as fractions, such as pi and √2. In decimal form these numbers go on forever and the same pattern of digits are not repeated.
Square numbers are numbers which can be obtained by multiplying another number by itself. E.g. 36 is a square number because it is 6 x 6 .
Surds are numbers left written as √n , where n is positive but not a square number. E.g. √2 (see 'surds').
In Mathematics, surds are the values in square root that cannot be further simplified into whole numbers or integers. Surds are irrational numbers. The examples of surds are √2, √3, √5, etc., as these values cannot be further simplified.
Prime numbers are numbers above 1 which cannot be divided by anything (other than 1 and itself) to give an integer. The first 8 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19.
Real numbers are all the numbers which you will have come across (i.e. all the rational and irrational numbers). All real numbers can be written in decimal form (such as 3.165).
A factor (or divisor) of a number is a number which will divide into your number exactly. So you can divide a number by one of its factors and you won't be left with a remainder. For example, 3 is a factor of 6 because you can divide 6 by 3 and you won't be left with a remainder (you get 2).
Prime Factor Decomposition
An important fact is that any number can be written as the product (multiplication) of prime numbers in one way. For example, 20 = 5 x 2 x 2 . This is the only way of writing 20 as the product of prime numbers. Writing a number in this way is called prime factor decomposition.
Example
Find the prime factor decomposition of 36.
We look at 36 and try to find numbers which we can divide it by. We can see that it divides by 2.
36 = 18 × 2
2 is a prime number, but 18 isn't. So we need to split 18 up into prime numbers. We can also divide 18 by 2.
18 = 9 × 2
and so 36 = 18 × 2 = 9 × 2 × 2
But we haven't finished, because 9 is not a prime number. We know that 9 divides by 3.
9 = 3 x 3.
Hence 36 = 9 × 2 × 2 = 3 × 3 × 2 × 2.
This is the answer, because both 2 and 3 are prime numbers.
Example
a and b are prime numbers, ab3 = 54. Find the values of a and b.
So ab3 is the prime factor decomposition of 54.
54 = 2 × 27 = 2 × 3 × 9 = 2 × 3 × 3 × 3 = 2 × 33
So a = 2 and b = 3.
LCM and HCF
The least (or lowest) common multiple (LCM) of two or more numbers is the smallest number into which they evenly divide. For example, the LCM of 2, 3, 4, 6 and 9 is 36.
The highest common factor (HCF) of two or more numbers is the highest number which will divide into them both. Therefore the HCF of 6 and 9 is 3.
Approximations
If the side of a square field is given as 90m, correct to the nearest 10m:
The smallest value the actual length could be is 85m (since this is the lowest value which, to the nearest 10m, would be rounded up to 90m). The largest value is 95m.
Using inequalities, 85£ length <95.
Sometimes you will be asked the upper and lower bounds of the area. The area will be smallest when the side of the square is 85m. In this case, the area will be 7725m². The largest possible area is 9025m² (when the length of the sides are 95m).
BODMAS (/BIDMAS)
When simplifying an expression such as 3 + 4 × 5 - 4(3 + 2), remember to work it out in the following order: brackets, of (/indices), division, multiplication, addition, subtraction.
So do the thing in the brackets first, then any division, followed by multiplication and so on. The above is: 3 + 20 - 4 × 5 = 3 + 20 - 20 = 3
Source:Revision Maths - Maths GCSE and A-Level Revision
Ladder 49
JF-Expert Member
- Dec 19, 2017
- 7,918
- 20,037
Hiyo unaingiza tu kwe calculator hakuna haja ya kuumiza kichwa Labda mwanafunzi ndio anatumia kichwa kucalculate.
Labda ungeomba njia sio jibu,jibu tutakuingizia kwenye mkaluu tu tunakupa jibu lako.
Kwani kasema 'kaluu' ni kwa kila swali?
Mtoboa siri
JF-Expert Member
- Mar 11, 2019
- 214
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Safi sana umepatia jibu mkuu ila kwenye njia kidogo sijakuelewa hasa hapo uliposema 11× = 400 hapa ukitafuta thamani ya x haiji 36 sijui ulipataje mkuu.