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FOURTH GRADE / MATHEMATICS / SUBTRACTION of NATURAL NUMBERS 1.3

MATHEMATICS IS EASY. PROVIDED THAT ONE WORKS ENOUGH .
ENOUGH IS SKILL DEPENDENT, HAVE TO FIND "ENOUGH" FOR YOUR SIZE.

 (METHODS* of) SUBTRACTION of INTEGERS  (are) is

   ♦ 
METHOD(s) of DETERMINING the RESULT of
   ♦ COUNTING BACKWARD from a given INTE-  GER  NAMED as MINUEND

   ♦ by an AMOUNT of  ANOTHER  GIVEN  INTE-  GER  NAMED as SUBTRAHEND.

    Ref.-1
 * There are diff. methods all doing the same .
1. Given B is a digit and A is a (decimal coded) number and AA - BB = 11.
How many digits may A have ?

a) 0
b) 1
c) 3
d) 1 or 2


If the given condition were A - BB = 11, the highest B could be 99 and the corresponding A would be 110.
2. Given B is a nonzereo digit and AA - BB = 22 (A with no restriction).
How many possible values may A teke ?

a) 7
b) 9
c) 8
d) 12
The minimal BB is 11 . If the condition were A - BB = 22 A would have 8 choices.
3. A new roll of fabric has 100 m. long of fabric.
How long a fabric will remain if a retail seller sells each one of 10 customers 2.5 m. from a new roll ?

a) 25
b) 50
c) 100
d) 75
10 x 2.5 = 25 .
4. When the operations along rows and columns are completed, which numbers should take the places of the red and green question marks ?

a) 11 ve 11
b) 9 ve 9
c) 20 ve 11
d) 11 ve 20
Do the operations from left to right and top to bottom ! The blue question marks should first be avoided.
5. The difference of a subtraction is 568. What will be the difference if 221 added to the subtrahend ?

a) 415
b) 257
c) 347
d) 550
A very easy question even if the subject is not known. Two numbers will take part in a binary operation. The choices are self answering.
568 - 221 = ? .
6. The sum of all three elements of a subtraction is 9500 and the subtrahend is given to be 1500. What is to be expected as the difference ?

a) 4000
b) 3250
c) 3500
d) 2750
The minuend should be half the sum .
7. The subtrahend and the difference of a subtraction are respectively 3458 and 2557. What is the minuend ?

a) 5985
b) 5995
c) 5921
d) 6015
Sum of subtr. and diff. gives ... .
8. What should be the value of X in the equation X - 3458 = 1738 ?

a) 5196
b) 5194
c) 5190
d) 5458
X is the minuend of a subtraction ... .
9. Which natural number given below should replace A in the following equation ?

8235 - A = 2678

a) 5667
b) 5767
c) 5557
d) 5567


A is the sum of the other two given ...
10. Hagia Sophia was completed in 537 A.C.
How many leap years should have passed ever since ?

a) 475
b) 368
c) 1474
d) 1475
Leap years are the years having Feb. 29.
11. A - B = ?

a) 112
b) 0
c) 120
d) 44
Operations along the rows and columns will determine A and B.
12. How much more way in a second may a cheetah take relative to an impala ?

max. velocity of cheetah : 20 m/s         max. velocitiy of impala : 16 m/s


a) 4
b) 8
c) 16
d) 20
Impala may well be still.
y
13. Minnie, Tinnie and Cinnie, three cute dog in the picture, will just now begin to share 30 balls equally and play a game.
Rules of the game are as follows: First will Tinnie give a ball to Minnie and then Minnie will gave two balls to Cinnie. Cinnie will give in return, three balls to Minnie.
So will the play continue the order being kept and the number of balls increasing by 1 by each transfer.

Which of these will first have its balls used up and how many rounds will take place till use up ?


In case of need for tips or help, just get the mouse on "y" or click at "ry1/2" .

RY1 RY2



a) Minnie ; 28
b) Minnie ; 25
c) Minnie ; 17
d) Tinnie ; 17
ry1 is certainly of some help. Take care that the beginner loses first and it loses one ball at each third round.
14. What should be the subtrahend if the minuend and the difference of a subtraction are 5232 and 1084 respectively ?

a) 4268
b) 4148
c) 4146
d) 4167
5232 - 1084 = ...
15. Take 27563 and exchange ones and thousands. What will be the difference of thes two numbers ?

a) 3996
b) 3896
c) 3596
d) -3996
The number after excahange will be lesser .
16. Which of the followings should be placed in "..." and "???" respectively ?

a) 12236 ve 76704
b) 12246 ve 76074
c) 12336 ve 77704
d) 12341 ve 78504
90087 - 77851 = ... and ...
17. How smaller is the greatest 5-digit even number with 1 at hundreds and thousands than 99999 ?

a) 8802
b) 8080
c) 8801
d) 8800
The number mentioned is 91198 .
18. Which of the choices gives X - Y , if X + 6 = 127 and X + Y = 232 ?

a) 78
b) 98
c) 100
d) 10
X = 121 .
19. What should be the subtrahend of a subtraction if the difference is 374 and the sum of subtrahend and the minuend is 948 ?

a) 287
b) 291
c) 307
d) 297
1322/2 = 661 ...
20. If we subtract an A from thrice the A we get 784 .
Which choice gives then A ?

a) 371
b) 342
c) 412
d) 392
A + A = 784
21. 588 - 142 - 27 + 127 - 356 = ?

a) 200
b) 190
c) 198
d) 207
Do sum first all numbers with "4" signs and then sum the with "-" signs and take the difference.
Note : - 27 + 127 = 100
y
22. In questions 4. and 11., the numbers within the two triangles of the bottom right squares happen to be equal.
Which choice explains why of this equalities ?


In case of need for tips or help, just get the mouse on "y" or click at "ry1/2" .

RY1 RY2



a) the operands of the operations are specifically chosen.
b) the numbers in both triangles are 9.
c) the numbers in both triangles are 9.
d) the structure of the operations makes them equal.


please have a look at the ry1, numbers are forced to be equal.
23. How many of the natural numbers satisfies the inequality A-7 > 0 ?

a) infinitely many
b) all
c) none
d) 10 of them
Each natural grater than 7 satisfies.
24. 0 being not a natural number, how many of the natural numbers satisfies the inequality A - 7 < 0 ?

a) 7
b) 0
c) 6
d) sonsuz
lesser than 7 and greater than 0 .
25. Which choice is the difference of the subtraction seen in the figure ?



a) 5798
b) 5488
c) 4798
d) 7548
Tens of the subtrahend must be a 2. ("http://www.grundschulstoff.de/arbeitsblatt/Mathematik-Grundrechenarten-Subtraktion-schriftlich- subtrahieren-bis-1-Million--Nr-2.pdf")
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