Function Machines in Math

Introduction to function machines in math:

In this article function machines in math, we will discuss about basic arithmetic operation in the mathematics. Function machine should perform the following operation like addition, subtraction, multiplication and division of single and two digit number. And also half the number, double the number, addition of half and single digit number, subtraction of half and single digit number etc. Let us see some problems for function machines in math.

Single Step Performance - Function Machines in Math

Consider the variable x and y as a single digit number

1.Double the number 2x

2.Half the number` x/2`

3.Adding of single digit number  x+y

4.Subtracting of single digit number  x-y (Here the x is a largest number and y is a smallest number)

5.Multipling of single digit number  x(y)

6.Dividing of single digit number ` x/y`

Consider the variable x and y as a two digit number

7.Adding of double digit number  x+y

8.Subtracting of double digit number  x-y (Here the x is a largest number and y is a smallest number)

Two step performance -  Function machines in math

1.Double the number x and add a single digit number 2x+y

2.Double the number x and subtract a single digit number 2x-y

3.Half and add a single digit number `(x/2)+y`

4.Half and subtract a single digit number `(x/2)-y`

5.Add half of the number with itself `(x/2)+x`

Worked Example - Function Machines in Math

Perform the function math operation to the single and two digit number.

Single step performance

Consider the following  single digit number x=5 and  y=2

1.Double the number 2x=2(5)=10

2.Half the number x/2=5/2=2.5

3.Adding of single digit number  x+y=5+2=7

4.Subtracting of single digit number  x-y=5-2=3

5.Multipling of single digit number  x(y) = 5(2)=10

6.Dividing of single digit number  `x/y=5/2=2.5`

Consider the following two digit number x=20 and y=15

7.Adding of double digit number  x+y=20+15=35

8.Subtracting of double digit number  x-y =20-15=5

Two step performance

1.Double the number x and add a single digit number 2x+y => 2(5)=10+y=10+5=15

2.Double the number x and subtract a single digit number 2x-y => => 2(5)=10+y=10+5=15

3.Half and add a single digit number `(x/2)+y =gt 5/2=2.5+y=2.5+5=7.5`

4.Half and subtract a single digit number `(x/2)-y =gt 5/2=2.5+y=2.5-5=-2.5`

5.Add half of the number with itself`(x/2)+x =gt 5/2=2.5+x=2.5+5=7.5 `