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FOURTH GRADE / MATHEMATICS / DIVISION of NATURAL NUMBERS 1.2

MATHEMATICS IS EASY. PROVIDED THAT ONE WORKS ENOUGH .
ENOUGH IS SKILL DEPENDENT, HAVE TO FIND "ENOUGH" RIGHT FOR YOU.
 Method(s) of DIVISION of INTEGERS   is  (are)
 ♦ 
METHOD(s) of DETERMINING the RESULT  (QUOTIENT) of
 ♦ HOW MANY TIMES A NATURAL NUMBER  CALLED a  DIVISOR

 ♦ CAN BE SUBTRACTED FROM / IS CONTAIN-  ED IN ANOTHER NATURAL NUMBER CALLED
 a DIVIDEND


 and WHICH NATURAL NUMBER (REMAINDER,  LESS THAN DIVISOR) STAYS BEHIND.
  Ref.-1
1. What will be the result of 100 000 / 3 if calculated with a 5 digit calculator ?



a) 6666
b) 3333
c) 33333
d) 13333
3 x 33333=99999 .
2. What will be the absolute error of calculating 100 000 / 3 with a 5 digit calculator ?

a) 1 less
b) 1 more
c) 1/3 more
d) 1/3 less
Absolute error is the real value minus the calculated value.
real value = 100 000 / 3 = 99 999 / 3 + 1/3.
calculated value = 33 333 = 99 999 / 3
3. Ken, a clever pupil, has calculated 100 000 / 3 with a 5 digit machine and has also seen the error he made.
He then calculated 1/3 with the same machine and added this result to his first calculation. What will be the amount of error for this case ?

a) (1-0.3333)/3
b) (1-0.3333)
c) 3/(1-0.3333)
d) 1/(1-0.3333)
1/3 will be calculated as 0.3333 gösterir by this calculator.
4. Clark has calculated 100 000 / 6 with a 5 digit calculator. Which choice gives its display ?

a) 16666.6
b) 166666
c) 16666
d) 1066
5 digits will and can be seen .
5. Referring to the 4. question, what absolute error has Clark done ?

a) found 2/3 less
b) found 2/3 more
c) found 1/3 less
d) found 1/3 more
100 000 / 6 = 99 996 / 6 + 4/6 = 16666 + 2/3 16666 x 6 = 99996 .
y
6. How many operations are done as we calculate 4495/5 via the classcical method by hand ?

In case of need for tips or help get the cursor on "y" or click at "ry1/1".

. RY1 RY2



a) 12
b) 13
c) 14
d) 15
ry1 is pretty informing, click on .
7. Cecilia has calculated 10/A for A = 1, 2, 3 and 4 and represented as graphics. Which graphics should she has drawn ?



a) V
b) X
c) Y
d) Z
If the divisor increases as dividend kept constant, quotient decreases .
8. If the elements, operands of multiplication changes order, no change occurs in result. e.g. 3x5 = 5x3 .
How is this in case of division ?

a) quotient increases
b) quotient decreases
c) quotient changes
d) quotient dos not change
3/5 and 5/3 are not equal .
9. 9x5 + 6x5 : 2x5 - 8x3 = ?

a) 24
b) 225/14
c) - 225/14
d) 48
not to be treated as (9x5+6x5):(2x5-8x3) .
10. If all fives are replaced by A's in question 9, the question takes the form 9xA + 6xA : 2xA - 8x3 = ?
Which of the choices below is the simplest form to replace the question mark above ?

a) 9xA
b) 9xA - 21
c) 21=21
d) 9xA + 17
Just take care of order of operations .
y
11. The 3-digit number 5AB having all digits different is divisible by 3 and 5 without remainder
How many possible distinct values exist for this number ?


In case of need for tips or help get the cursor on "y" or click at "ry1/1".

RY1 RY2



a) 6
b) 10
c) 3
d) 4
The first pos. is 510 . Next is 525 which disclosed having hundreds and ones as 5. And then come 540 , 555 , 570 and 585 .
12. In a division the sum of dividend and divisor is 84, the quotient is 8 and the remainder is 4.
What should the dividend be ?

a) 76
b) 68
c) 36
d) 52
Considering the last two restrictions the smallest nr. is 12 . Then come 20 , 28 , 36 , 44 , 52 , 60 , 68 and 76 .
13. The sum of two numbers 470 and when the grater is divided by the lesser, quotient is 16 with remainder 9.
What should be the value of lesser ?

a) 37
b) 35
c) 27
d) 25
The greater G should be 16xL + 11 where L stands for the lesser.
Since sum is 470, it should be 16xL + 11 + L = 470 which ipmlies 17xL = 459 .
14. If the number A is divided by 25 the quotient and the remainder respectively are 17 and 15 ?

a) 455
b) 370
c) 550
d) 440
17x25+15 = ?
15. The 3-digit number 35A gives a remainder of 8 if it is divided by 10
What will be the remainder if this number is divided by 11 ?

a) 6
b) 7
c) 4
d) 3
Based on the data, A should be 8 .
16. The equation (9+A)/2 - 5 = (A-7)/3 is for A=3 ... ?

a) calculable.
b) not correct.
c) correct.
d) uncalculable.
replace A by 3 and check .
17. The Ohm's law says whwn a certain current flows through an ohmic resistor, the voltage on this is to be attained via the multiplication of the value of the resistance by the current.
If a resistor with resistance of 3 units has a voltage of 9 unit on it, how many units should the current flowing through be ?

a) 3
b) 5
c) 9
d) 1
It is just an introduction of Ohm's law .
18. (33-27/9):5 = ?

a) 8
b) 6
c) 9
d) 7
30/5 ...
19. What are the quotient and the remainder of 100000/999 ?

a) 100 and 100
b) 100 and 1
c) 101 and 0
d) 100 and 10
999 x 100 + 100 = ?
20. What is the greatest divisor of the number 60 ?

a) 30
b) 15
c) 12
d) 10
The greatest number out of 60 itself, that divides 60 without remainder .
21. How many of the following operations are correct ?

1. 7044:11=641         2. 4550:13=350         3. 3757:17=221         4. 10551:3=3517

a) 4
b) 3
c) 2
d) 1
1. is certainly not .
22. Which choice gives the result of 107107107/107 ?

a) 111
b) 1111
c) 1010101
d) 1001001
107 107 107 = 107 000 000 + 107 000 + 107.
23. If B = 3xA as A and B are digits, e.g. B=6 and A=2, what will be the result of BBBBBB/AA ?

a) 10101
b) 30303
c) 20202
d) 333
Just try it for the given case i.e. for 666666/22 .
24. What will be the result of BBBB/AA if B=2xA as A is a digit ?

a) 202 or 183654 (with rmainder)
b) 202
c) 2002
d) 2020
if A<5 202 , if A=5 or A>5 183654 (with remainder) .
25. What will be the remainder of 10101010/55 = ?

a) 60
b) 45
c) 40
d) 30
Calculation obligatory .
This is the feedback!
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