Tuesday, May 28, 2013

Arithmetic math Diagrams

Introduction to arithmetic math diagram:

Arithmetic or arithmetic (from the Greek word ????տ? = number) is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations.

In common usage, it refers to the simpler properties when using the traditional operations of addition, subtraction, multiplication and division with smaller values of numbers.




Arithmetic math diagram and problems:


Example problems for arithmetic math diagram:

Addition problems:

Question 1:

Solve: From the given problem, perform addition operation for 4 red color balls and 6 blue color balls.

Solution:

The given problem is

4 red balls and 6 blue color balls



Total number of balls = red color balls + blue color balls.

= 4 + 6

= 10

Total number of balls = 10 Balls.

Question 2: Solve 41 + 6 + 7 + 3

Solution: The given problem is
= 41 + 6 + 7 + 3
= 54 + 3
= 57

Question 3: Solve 5x + 2x + 4x

Solution: The given problem is

= 7x + 4x
= 11x

Subtraction problems:

Question 1:

Solve: From the given problem, perform subtraction operation for 4 black color balls and 2 green color balls

Solution:

The given problem is

4 black balls and 2 green color balls



Total number of balls = black  color balls - green color balls = red color balls.

= 4 -2

= 2

Total number of balls =2 red balls.

Question 2: Solve 40 - 4 - 2 -3

Solution: The given problem is
= 40 - 4 - 2 -3
= 36 -2 - 3
= 34 -1

= 33

Question 3: Solve 8x - 6y -3x -4y

Solution: The given problem is

= 8x - 6y -3x - 4y

= 8x - 3x - 6y - 4y

= 5x - 2y

Question 4: Solve 14x - 7x - 2x

Solution: The given problem is
=14x -7x -2x

= 7x - 2x

= 5x

Multiplication problems:

Question 1:

Solve: From the given problem, perform Multiplication operation for 2 red color balls and 2 blue color balls.

Solution:

The given problem is

2 red balls and 2 blue color balls



Total number of balls = red color balls * blue color balls = Yellow color balls.

= 2 *2

= 4

Total number of balls = 4 Yellow color balls.

Question 2:

Multiply 381 by 102

Solution:

381 נ102 means 102 times 381

Or 100 times 381 + two times 380

Or 38100 + 760

Or 38860

Therefore 381 נ102 = 38860

Division problems:

Question 1:

Solve: From the given problem, perform Division operation for 4 brown color balls and 2 pink color balls.

Solution:

The given problem is

4 brown balls and 2 pink color balls




Total number of balls = brown  color balls / pink color balls = Green color balls.

= `4 / 2 `

= 2

Total number of balls = 2 Green color balls.

Question 2:  solve (6/10)-(5/10)

Solution:
= (`6/10` )-(`5/10` )
= (6-5) / 10
=  `1 / 10`


Practice problems for arithmetic math diagram:


Practice problems are given below for test preparation,

1) Answer the math expression

32 + (3 * 3) -205

Solution: - 187

2) Answer the math expression

(ֳ)2 + 202 -10 -1

Solution: 200

3) Answer the math expression

3x + 2y -20 + 4y -2x

Solution: x + 6y -2

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