MATHINIK TUTORIAL:MATHbait,MATHalino,MATHulungin

1. “JFM MATHinik”
MATHALINO
MATHGALING
MATHULINGIN

2. INTRODUCTION:
 Welcome to “MATHinik” website tutorial. Have
you ever struggling to math subject or a math
problem ? If yes, we the senior students of
SANHS will help you on how to solve a basic
math situation/problem.

3. Given:
3
157464
 4 is the last digit, then I would bring down it and cancel the last three digits.
 464 will cancel and remaining the numbers which is 157, determine the nearest
number from the perfect cube numbers.
 53=125 63=216
 Partner those numbers 5 and 4=54 then 6 and 4= 64.
 Get the least number which is 54.

3
157464=54

4. HOW TO GET THE SQUARE ROOT OF A
NUMBERS WIHOUT USING CALCULATOR
 Just like in the getting the cube root of a numbers you must memorize again, but
another sets of partnership.
 1=1 6=6
 2=4 7=9
 3=9 8=4
 4=6 9=1
 5=5 0=0

5. MEMORIZE
 Memorize the basic perfect squared numbers.
 12
= 1 62
=36 112
=121 162
=256
 22 = 4 72 = 49 122 = 144 172 =289
 32
= 9 82
= 64 132
= 169 182
= 324
 42
= 16 92
= 81 142
= 196 192
= 361
 52
= 25 102
=100 152
= 225 202
= 400

6. Given:
2
21609
 Get the value of the last digit which is 9. Then, determine its partner.
 9=3 and 7.
 Next step you must get the nearest number for the first three digits, which is 216.
 142
=196 152
=225
 Partner those numbers.
 14 and 3=143 14 and 7=147 15 and 3=153 15 and 7=157

7. Given:
2
21609
 We arrived at the answers 143, 147, 153 and 157.
 Choose: 1432
= 20449 𝑛𝑜𝑡 𝑡ℎ𝑒 𝑎𝑛𝑠𝑤𝑒𝑟.
 1472 = 21609 𝑖𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑎𝑛𝑠𝑤𝑒𝑟.

2
21609= 147.

8. HOW TO GET THE PRODUCT THAT IS MULTIPLE
OF 11.
 GIVEN: 123456789
 Copy the last digit number which is 9.
 Add the next last digit. Which is 8. 8+9=17
 Until to the first digit number which is 1.

9. From: JFM MATHinik
THANK YOU AND
GOD BLESS.

10. PUBLISHER
 JOMARIE CRISTOBAL AFRICA
 MANILYN LABUGEN HABER
 FLORICEL HIDALGO DUMAYAS
http://jomarieafrica.wixsite.com/mathinik-tutorial
Click this link

11. JFM ‘MATHinik’ TUTORIAL
 FIRST that we are going to discuss on you is on how to get the value of X, using
the three methods;
 a. using factoring
 b. using completing square
 c. using quadratic formula

12. FACTORING
 Given:𝑥2
− 3𝑥 − 4
So the first step using FACTORIZATION/FACTORING
 get the multiple of the last digit number.
 −4 = −2 ∗ 2,−4 ∗ 1,4 ∗ −1
 1ST step: CHOOSE!!! Consider the coefficient of middle term of the equation. So
the given is -3x, so we have -3.
 Choose from the multiples of the last term which is -4 that if we add the numbers
it gives us -3.
 Let say that -4&1.

13.  2ND step: TRY!
 (𝑥 − 4)(𝑥 + 1) = 𝑥2
− 3𝑥 − 4
 3RD step: so if we already get the factor of the given, next are we going to do is
to solve the value of x. Since we already get the factor which is -4,1.we can now
easily get the value of x by the use of Zero Property of Equality.
 𝑥 − 4 = 0, thus 𝑥 = 4
 𝑥 + 1 = 0, thus𝑥 = −1
 So the value of x is 4&-1.

14. COMPLETING THE SQUARE
 Given: 𝑥2
+6x − 3
 First step: Combined all the similar terms and then separate the whole number.
 So, we get 𝑥2 + 6𝑥 = 3
 Second step: Divide the coefficient in the middle term by 2.
 6/2=3, and then after that squared the quotient, 32
= 9.
 Third step: In both sides, add 9.

15. Given: 𝑥2
+6x − 3
 𝑥2
+ 6𝑥 + 𝟗 = 3 +9.
 We get, 𝑥2
+ 6𝑥 + 9 = 12
 Fourth step: Factor the equation so we get 𝑥 + 3 2=12.
 Fifth step: Remove the exponent which is 2, by getting the square root of both
sides.
 𝑥 + 3 2 = 12

16. Given: 𝑥2
+6x − 3
 We get x+3=± 12.
 Last step: Get the values of x.
 x+3=+ 12 ; x+3=- 12
 x= 12-3; x=- 12 -3
 x=.464; x=-6.464

17. USING THE QUADRATIC FORMULA
 Given: 𝑥2
+ 13x + 11
 To get the values of x you can use the quadratic formula.
 𝑥 =
−𝑏± 𝑏2−4𝑎𝑐
2𝑎
 First step: get the value of a, b, c. which is the coefficient of 𝑥2, x and the constant
number, so we get a=1, b=13, c=11.
 Second step: Substitute.

18. FORMULA: 𝑥 =
−𝑏± 𝑏2−4𝑎𝑐
2𝑎
 a=1, b=13, c= 11
 𝑥 =
−𝑏± 𝑏2−4𝑎𝑐
2𝑎
 𝑥 =
−13± 132−4(1)(11)
2(1)
 𝑥 =
−13± 169−44
2
 𝑥 =
−13± 125
2

19. 𝑥 =
−𝑏 ± 𝑏2 − 4𝑎𝑐
2𝑎
 𝑥 =
−13± 25∗5
2
 𝑥 =
−13±5 5
2
 𝑥 =
−13+5 5
2
; 𝑥 =
−13−5 5
2
 These are the final answer.

20. HOW TO GET THE CUBE ROOT OF A
NUMBER WITHOUT USING CALCULATOR.
 First thing to do, you must memorize these basic partnership.
 1:1
 3:7
 2:8
 And then all the remaining numbers will bring down.
 4, 5, 6, 9, 0

21.  Memorize also the basic perfect cube numbers.
 13
=1 ; 63
=216
 23 = 8 ; 73=343
 33
=27 ; 83
=512
 43
=64 ; 93
=729
 53
=125 ; 103
=1000

22. Given:
3
19683
 1st step : Get the value of the last number, which is 3.
 Determine the partner of that number, which is 7.
 2nd step: Cancel the last three digits which is 683, and then the remaining
numbers which is 19.
 3rd step: Go back to the sets of cubes, then determine the nearest number for that
remaining number (19).
 23
= 8 33
=27
 19 will seen between 8 and 27.

23. Given:
3
157464
 4 is the last digit, then I would bring down it and cancel the last three digits.
 464 will cancel and remaining the numbers which is 157, determine the nearest
number from the perfect cube numbers.
 53=125 63=216
 Partner those numbers 5 and 4=54 then 6 and 4= 64.
 Get the least number which is 54.

3
157464=54

24. HOW TO GET THE SQUARE ROOT OF A
NUMBERS WIHOUT USING CALCULATOR
 Just like in the getting the cube root of a numbers you must memorize again, but
another sets of partnership.
 1=1 6=6
 2=4 7=9
 3=9 8=4
 4=6 9=1
 5=5 0=0

25. MEMORIZE
 Memorize the basic perfect squared numbers.
 12
= 1 62
=36 112
=121 162
=256
 22 = 4 72 = 49 122 = 144 172 =289
 32
= 9 82
= 64 132
= 169 182
= 324
 42
= 16 92
= 81 142
= 196 192
= 361
 52
= 25 102
=100 152
= 225 202
= 400

26. Given:
2
21609
 Get the value of the last digit which is 9. Then, determine its partner.
 9=3 and 7.
 Next step you must get the nearest number for the first three digits, which is 216.
 142
=196 152
=225
 Partner those numbers.
 14 and 3=143 14 and 7=147 15 and 3=153 15 and 7=157

27. Given:
2
21609
 We arrived at the answers 143, 147, 153 and 157.
 Choose: 1432
= 20449 𝑛𝑜𝑡 𝑡ℎ𝑒 𝑎𝑛𝑠𝑤𝑒𝑟.
 1472 = 21609 𝑖𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑎𝑛𝑠𝑤𝑒𝑟.

2
21609= 147.

28. HOW TO GET THE PRODUCT THAT IS MULTIPLE
OF 11.
 GIVEN: 123456789
 Copy the last digit number which is 9.
 Add the next last digit. Which is 8. 8+9=17
 Until to the first digit number which is 1.

29. From: JFM MATHinik
THANK YOU AND
GOD BLESS.

30. PUBLISHER
 JOMARIE CRISTOBAL AFRICA
 MANILYN LABUGEN HABER
 FLORICEL HIDALGO DUMAYAS
http://jomarieafrica.wixsite.com/mathinik-tutorial
Click this link