Monday 22 January 2018

how to solve integer math problem

how to solve integer math problem

integer math problem


Matter integers for students is one of the hard work material especially if the students 
are asked to solve the story problem. The ability to complete the story as a whole for 
junior high school children in Indonesia is still relatively low. This is probably because 
the question of the story requires the ability to understand well every given problem. 
Matter of integers which is the basis of mathematics also contains many stories. And 
strangely when the question of mathematics chapter number given to students the results 
remain disappointing


The ability of students in understanding and analyzing every mathematical problem is 
necessary in the habit. With the aim that students are accustomed to solve problems 
related to the story of the problem of day to day. If the ability to understand and solve 
the problem of the story is always in the habit then the child's ability to understand every
 problem of the story

In the present time the most advanced mathematical ability of students is the ability to solve stories that are closely related to the problems of day-to-day students. . It is intended that students have high-level thinking skills. High-level thinking skills will make students ready to face global competition later.

There are many types of mathematical problems related to the matter of integers.Today we will try some math stories about integers and how to solve them easily.

The provincial OSN contest set rules for students who answered true score 4, wrongly scored (-2) and not answered (-1). From 50 questions given P participants answered 43 questions and 12 of them wrong. The total score obtained by participant P is.....

a.     93                    c. 117
b.    100                  d 124


How to solve the above problems are as follows
 
Number of items about = number of items answered + number of items not answered
50 = 43 + number of unanswered items, this means unanswered item 7
Number of items answered = 
total number of answered items correct + items answered wrong
 
If the number of items answered is correct = B and
the number of items answered is wrong = S then
43 = B + 12 then the number of items answered correctly is 43-12 = 31
Total score = B x 4 + S x (-2) + T x (-1) 
                   = 31 x 4 + 12 x (-2) + 7 x (-1) 
                   = 124 - 24 - 7 
                   = 93
 
Example of integer story 2
 
The temperature in the refrigerator is -13ºC, while the temperature in the room is 32ºC. 
The temperature difference in both places is ....
A. 45ºC
B. 18 ºC
C. -18ºC
D. -45 ºC

completion
Temperature difference = highest temperature - lowest temperature                            
                                       = 32ºC - (-13ºC)                           
                                       = 45 ºC

An example of integer story 3
 
In the Mathematics competition, each correct answer is given a score of 3, the wrong 
answer is given a score of -1, and if not answered a score of 0. Of the 40 questions 
tested, Dedi answered 31 questions, of which 28 questions were answered correctly. 
Dedi's score is ....
A. 81 C. 87
B. 84 D. 93
 
Fri = answered + unanswered
40 = 31 + not answered, means not answered 9
Answered = B + S
31 = 28 + S then the problem is answered incorrectly there are 31-28 = 3
Total score = B x 3 + S x (-1) + T x (0)
                = 28 x 3 + 3 x (-1) + 9 x (0) = 84 - 3 - 0 = 81

Example of integer story 4
 
If the "#" sign means the number of the first five numbers and three times the second 
number, then (-6) # 10 is ....
  A.-60 C. 0
  B.-30 D. 30
 
How to solve
 
-6 # 10 = 5 (-6) + 3 (10) = -30 + 30 = 0
 
An example of integer story 5
If a = -4, b = 3, c = -2 and d = 1, the value of
ab + bc - cd - abcd is ....
A. -44 C. -36
B. -40 D. -24

completion
ab + bc - cd - abcd = (-4) (3) + (3) (- 2) - (-2) (1) - (-4) (3) (- 2) (1)
                                  = -12 + -6 + 2 - 24
                                  = -40
 
 
 
Example of integer story 6
Zika is 3 years older than Yeli. While Yeli 5 years older than Fari. If their age is 
49 years, then the age of Zika is ....
A. 12 years C. 20 years
B. 17 years old D. 22 years old
 completion
 
Complete completion visit here
 
 
So the article about the story of integers and how to solve them. hopefully through 
a series of learning this time we can better understand about the problem of integer 
story.
 
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